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International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
32
AN INTELLIGENT FUZZY-BASED TSUNAMI WARNING SYSTEM
Twinkle Tayal1, Dr. Prema K.V.2
1
(2nd
year, M.Tech, CSE, FET, MUST, Rajasthan, India)
2
(Dept of CSE, FET, MUST, Rajasthan, India)
ABSTRACT
A tsunami is known as progression of water waves prompted by the dislodgement of a
substantial volume of a body of water, generally an ocean or a large lake. There are various factors
that can generate a tsunami like Earthquakes, volcanic eruptions and other underwater explosions,
landslides, glacier calvings, meteorite impacts and other disarticulations above or below water.
Tsunamis obliterate not only human population but all other species. There are number of
confident ways to envisage such disasters and design diverse kinds of early warning systems.
These can be prophesized on the climatic conditions and several other parameters. With the
overture of modern science and computer technology, the field of Artificial Intelligence is showing
an explicit utility in all spectrums of life. One such concept that is functioning as a detonation in
the fields of environmental science and policy is fuzzy logic. In this work, we will try to foretell
the tsunami based on the certain factors. All the parameters taken for this work are real- time and
the data used is collected from the well-known organizations such as NOAA pacific tsunami
warning centre, Japan meteorological agency, UNESCO international tsunami information centre.
The system has been designed in the Matlab Fuzzy Logic Toolbox. The system designed by us is
also compared with an existing system in this paper.
Keywords: Tsunami, Tsunami Prediction, Tsunami Warning, Fuzzy, Fuzzy Logic.
1. INTRODUCTION
Tsunamis are among the most detrimental natural disasters known to man. For most of the
people who live close to sea shore, tsunami is the greatest menace of their live. Tsunami causes
rivers and other water paths to brim over. This superfluous water can generate noxious currents and
drag away people, causing them to drown. A tsunami has all of the destructive effects plus the
added destructive power crashing waves [1]. As shown in fig.1, most of the oceanic tsunamis (up
to 75% of all historical cases) are triggered by shallow-focus earthquakes dexterous of transferring
INTERNATIONAL JOURNAL OF COMPUTER ENGINEERING &
TECHNOLOGY (IJCET)
ISSN 0976 – 6367(Print)
ISSN 0976 – 6375(Online)
Volume 5, Issue 4, April (2014), pp. 32-40
© IAEME: www.iaeme.com/ijcet.asp
Journal Impact Factor (2014): 8.5328 (Calculated by GISI)
www.jifactor.com
IJCET
© I A E M E
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp.
enough energy to the overlying water colu
volcanic (5%) and meteorological (2%) tsunamis.
clandestine sources. Though the effect of tsunamis is
disastrous power can be colossal
numerous tsunamis recorded in the history that were devastating and were very
necessitate designing such methods
tsunami.
Figure
The increasing esteem of artific
fuzzy logic as a method to solve this problem and carry out this work
utilized for foretelling tsunami because of the
the nature of tsunami and different source
tsunami. So, in this paper, we are proposing a fuzz
tsunami based on the different parameters. All the data regarding the parameters are collected from
the historical databases provided by the
Japan meteorological agency, UNESCO internati
2. FUZZY LOGIC SYSTEMS
A. Lotfi Zadeh, a professor at the University of California
logic at Berkley. He presented this
processing data by allowing fractional or partial set membership rather than
or non-membership. Fuzzy logic means
with words and so on. It bestows mathematical strength to the emulation of specific per
linguistic traits associated with human cognition
form of verbal phrases or linguistic terms suc
values. If a system’s behaviour can be
processes, fuzzy logic approach can be
technique to a real application requires the following thre
1. Fuzzification – it converts classical data or crisp data into fuzzy data or Membership
Functions (MFs).
2. Fuzzy Inference Process – it coalesce
the fuzzy output.
3. Defuzzification – it uses several
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976
6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
33
ying water column. The rest is estranged between the landslide (7%),
volcanic (5%) and meteorological (2%) tsunamis. Up to 10% of all the historical run
Though the effect of tsunamis is constrained to the coastal areas, their
colossal and they can influence the entire ocean basins. There are
sunamis recorded in the history that were devastating and were very
such methods that can be used to warn people beforehand
Figure -1: causes of tsunami [1]
of artificial intelligence in the numerous fields, make us to
method to solve this problem and carry out this work. In this work
because of the undeniable reason that there is a natural
e of tsunami and different sources of tsunami persuade differently on the occurrence of
, we are proposing a fuzzy expert system that will alert about the
tsunami based on the different parameters. All the data regarding the parameters are collected from
cal databases provided by the organizations like NOAA pacific tsunami warning centre,
meteorological agency, UNESCO international tsunami information centre.
A. Lotfi Zadeh, a professor at the University of California, introduced the concept of fuzzy
at Berkley. He presented this notion not as a control methodology, but as a
fractional or partial set membership rather than crisp set
Fuzzy logic means inexact reasoning, information granulation, computing
mathematical strength to the emulation of specific per
s associated with human cognition [2]. In fuzzy logic, information is
linguistic terms such as big, small, very, few etc despite of
values. If a system’s behaviour can be uttered by rules or entails very complex non
processes, fuzzy logic approach can be useful in that system [3]. To put into practice,
technique to a real application requires the following three steps:
classical data or crisp data into fuzzy data or Membership
coalesce membership functions with the control rules to
s several methods to calculate each allied output [4].
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
between the landslide (7%),
historical run-ups still have
to the coastal areas, their
ocean basins. There are
sunamis recorded in the history that were devastating and were very damaging. It is
to warn people beforehand regarding the
fields, make us to prefer
In this work, Fuzzy Logic is
reason that there is a natural uncertainty in
persuade differently on the occurrence of
y expert system that will alert about the incident of
tsunami based on the different parameters. All the data regarding the parameters are collected from
NOAA pacific tsunami warning centre,
, introduced the concept of fuzzy
methodology, but as an approach of
crisp set membership
reasoning, information granulation, computing
mathematical strength to the emulation of specific perceptual and
In fuzzy logic, information is presented in
h as big, small, very, few etc despite of numeric
very complex non-linear
put into practice, fuzzy logic
classical data or crisp data into fuzzy data or Membership
control rules to derive
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
34
3. PRELIMINARIES
It was a challenge for us to perceive the pertinent parameters in the beginning. So, a vigilant
study was done and the best and most useful possible set of input parameters was selected, that
could be ample to model the real time scenario and help us to precisely predict and warn about the
tsunami. In total, 5 inputs are used in this fuzzy system.
1. Earthquake (EQ) – it is the most significant cause of tsunamis. Different scales are used for
measuring the earthquakes. Here, measurements in Richter scale are used. Generally, it has
been observed that earthquakes above 6.5 are supposed to cause tsunamis.
2. Focal depth (FD) - It is depth of an earthquake hypocenter (the point within the earth where an
earthquake shatter starts). Tsunami when caused by earthquake, it also depends on the focal
depth. The shallow focal earthquakes are most destructive. We have taken 0 to 65 km as range
for shallow focal depth in this work.
3. Volcanic eruption index (VEI) - on land eruptions or underwater volcanic eruptions can cause
tsunamis. VEI (volcanic eruption index) is used to define the kinds of eruptions as explosive or
not. Optimal range of VEI is from 0 to 8.
4. Landslide (LS) - Landslides stepping into oceans, bays, or lakes can also cause tsunami.
Generally, such landslides are generated by earthquakes or volcanic eruptions.
5. Height of waves in deep ocean (WD) – in deep ocean height of tsunami wave is very less, not
more than 4meters due to decreased level of potential energy. As waves reach at the shore, the
height of waves keeps on increasing.
4. METHODOLOGY
Fuzzy inference system for tsunami warning system can be designed by applying following
procedure in the Matlab Fuzzy Logic Toolbox:
1. Look over the problem to be solved and decide the input and output variables.
2. Deciding the fuzzy inference rules. This usually depends on human familiarity, understanding
and trial-and-error.
3. Fuzzy membership functions for all the inputs and the output. Fuzziness in a fuzzy set is
illustrated by its membership functions. It recognizes the element in the set, if it is discrete or
continuous.
4. Perform fuzzy inference based on the inference method. Smoothness of the final control
surface is resolute by the inference and defuzzification methods.
5. Select a defuzzification method. Defuzzification means the conversion of fuzzy to crisp.
In this work, we are using the Mamdani method for the compelling reasons as it is spontaneous,
commonly used, extensively accepted and it is suited to system requiring human intervention. In the
present work, system is developed by using the GUI tools, which consists of five editors to build,
edit and view the system, as shown in fig.2, namely
1. Fuzzy Inference System (FIS) Editor – utilized for handling the issues for the system like
number of input and output variables and their names.
2. Membership Function Editor- used for defining shapes of all the membership functions allied
with each variable.
3. Rule Editor- utilized to edit the list of rules that defines the behavior of the system.
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
35
4. Rule Viewer- used to view the fuzzy inference diagram. It is used to see which rules are active,
or how individual membership function shapes influence the results.
5. Surface Viewer – it is utilized to view the dependency of one of the outputs on any one or two
of the inputs. It generates and plots an output surface map for the system.
Precisely, a fuzzy decision is the upshot of weighing the facts and its significance in the same
way as humans take decisions. Fuzzy logic replicates human like thinking where the human can
figure out a vague inference from an assortment of imprecise premises [5].
Figure – 2: GUI editors in Mamdani fuzzy method [5]
The overall fuzzy inference model for tsunami prediction system can be shown as in the fig.3.
Figure -3: fuzzy inference system for tsunami prediction
4.1. Input/ Output Membership Functions
There are 5 inputs in this system. Each input is defined by using the different
membership functions. The output alert is described by the membership functions rare, advisory
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
36
and warning. The output of system will be rare if no tsunami is likely to occur, advisory if there
may be chances of tsunami in near future and warning if tsunami is definite and can be destructive.
These functions symbolize a degree of a binary value, 1 being the highest and 0 being the lowest.
All the inputs and output are described by trapezoidal membership function to maintain uniformity
in the system. All the membership functions are shown in the Table 1 and the snapshots of Matlab
Fuzzy Logic Toolbox in the figures below.
TABLE 1: Membership Functions of Inputs and Output
Figure -4: membership function for input EQ
Figure-5: Membership Function for input VEI.
Variable Membership functions
EQ {WEAK,MILD,STRONG}
FD {SHALLOW,MODERATE,DEEP}
VEI {NON_EXPLOSIVE,MILD,EXPLOSIVE}
LS {WEAK,MILD,STRONG}
WD {TSUNAMI,MAYBE,NORMAL}
ALERT(OUTPUT) {RARE, ADVISORY, WARNING}
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
37
Figure- 6: Membership Function for input LS
.
Figure – 7: Membership Function for input FD
Figure -8: Membership Function for input WD
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
38
Figure – 9: Membership Function for output ALERT
4.2. Fuzzy Rules
Fuzzy rules are the most imperative part in the fuzzy system. These rules can be selected on
the basis of one’s knowledge, perception or understanding of the problem. As here, we are using the
standardized data for all the inputs; fuzzy rules are dependent on them. The fuzzy rules are in the
form of IF x then y. The rules in our system are defined in the following way:
1. If (EQ is WEAK) and (VEI is MILD) and (LS is MILD) and (FD is SHALLOW) and (WD is
MAYBE) then (ALERT is WARNING)
2. If (EQ is STRONG) and (VEI is MILD) and (LS is MILD) and (FD is MODERATE) and (WD
is MAYBE) then (ALERT is ADVISORY)
3. If (EQ is MILD) and (VEI is NON_EXPLOSIVE) and (LS is MILD) and (FD is DEEP) and
(WD is NORMAL) then (ALERT is RARE)
The rule editor for the system of Matlab Fuzzy Logic Toolbox is shown in figure 9.
Figure – 10: Rule Editor
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
39
4.3. Simulations
We have accomplished a number of experiments by entering the different values of the inputs
and every time the system is giving correct output as it was supposed according to our perception
and information according to historical databases. Rule viewer can be used to enter the inputs and
see how each and every rule is behaving on your given input. Finally, it gives one defuzzified crisp
output based on the method you had used. When the decisive parameters are in range of warning, the
input values in this situation for the different parameters are [9 0 0 10 2] and the corresponding rule
viewer is shown in fig. 11.
Figure – 11: rule viewer when decisive parameters are in warning range
The result for the input given above is coming out to be 0.8276, which is under the warning
range. When the output alert should be advisory: when we input values as [9 0 0 10 9], the
defuzzified value comes out to be 0.5, which is under advisory range. When the output alert should
be rare: rare will be the alert when no risk of tsunami is there. When we input values as [4 0 0 300
9], the defuzzified value comes out to be 0.169, which is under rare range.
5. RESULTS AND ANALYSIS
On carrying out a number of experiments with different data sets, we are getting the correct
output every time as supposed. We have compared our work with the work in the IEEE research
paper “Cherian, Carathedathu Mathew, Nivethitha Jayaraj, and S. Ganesh Vaidyanathan,
Artificially Intelligent Tsunami Early Warning System, 12th International Conference on
Computer Modeling and Simulation (UKSim), 2010, pp. 39-44. IEEE, 2010”[6]. In this paper,
they have taken only 2 parameters, but we have taken 5 inputs as according to our detailed study of
NOAA tsunami historical database [7] that consists information on tsunami events from 2000 B.C. to
the present in the Atlantic, Indian, and Pacific Oceans; and the Mediterranean and Caribbean Seas,
along with the earthquake, landslides and volcanic eruptions are also causes tsunami and tsunami
largely depends on the focal depth. They had also implemented the problem in the Matlab Fuzzy
Logic Toolbox as we have. We have taken standardized and real- time data according to the well
known authorities NOAA pacific tsunami warning centre, Japan meteorological agency, UNESCO
international tsunami information centre and defined our membership functions for each input
according to the standard ranges. As they had taken 2 inputs, they are using 12 rules in their system
whereas we are using 159 rules to describe the system,. We have uniformity in our system as we
International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print),
ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME
40
have described all the inputs by the trapezoidal membership functions. They had divided the
different parameters into various no. of ranges, like for output they are using 5 sets, where as we are
taking 3 sets namely rare, advisory and warning, which is a more realistic situation and simple to
recognize. Moreover, when compared with this existing system, our system is found to be more
capable and is giving better outcomes.
6. CONCLUSION
Fuzzy logic imparts a complementary approach to signify linguistic and subjective facets of
the real world in computing. The intent behind choosing fuzzy logic in this work is that system
uses fuzzy logic model put across valuable and real results depending on the uncertain, vague,
inconclusive, indecisive and imprecise verbal acquaintance just like logic of a human being.
Moreover, it takes long time to use other existing methods for such problems whereas we can reach
a general solution by doing only limited number of experiments in fuzzy. Mamdani has been
designed in this study. The prediction scheme presented here can be deliberated as a step towards
the prediction of this destructive natural hazard tsunami. This can successfully be pertained by
taking other parameters into consideration and moreover, in this study, we have used general data
evaluated from the historical database, this system can work more efficiently if data for a particular
area is used.
7. REFERENCES
[1] Sidharth Das, BiramBaburayBaskey, Design of an Embedded System for the Detection of
Tsunami, B.tech Dissertation, Dept. Electronics and communication Eng., National Institute of
Technology, Rourkela, May, 2012.
[2] Ying Bai and Dali Wang, Fundamentals of Fuzzy Logic Control – Fuzzy Sets, Fuzzy Rules
and Defuzzifications, Advanced Fuzzy Logic Technologies in Industrial Applications,
Springer, 2006.
[3] Poongodi, M., Manjula, L., Pradeepkumar, S. and Umadevi, M, Cancer prediction technique
using fuzzy logic, International journal of Current Research, Vol. 3, Issue 11, pp. 333-336,
Dec., 2011.
[4] Lotfi a. Zadeh, Knowledge Representation in Fuzzy Logic, IEEE TRANSACTIONS ON
KNOWLEDGE AND DATA ENGINEERING, VOL. I, NO. I, MARCH 1989.
[5] Sivanandam, S. N., Sai Sumathi, and S. N. Deepa. Introduction to fuzzy logic using MATLAB.
Vol.1. (Berlin: Springer, 2007).
[6] Cherian, Carathedathu Mathew, Nivethitha Jayaraj, and S. Ganesh Vaidyanathan, Artificially
Intelligent Tsunami Early Warning System, 12th International Conference on Computer
Modeling and Simulation (UKSim), 2010, pp. 39-44. IEEE, 2010”
[7] National Geophysical Data Center / World Data Service (NGDC/WDS): Global Historical
Tsunami Database. National Geophysical Data Center, NOAA, doi: 10.7289/V5PN93H7.
[8] Mohammed Sirajuddin, Dr D. Rajya Lakshmi, Dr Syed Abdul Sattar and Nafisur Rahman,
“Fuzzy Logic — The Fascinating Logic Behind Artificial Computational Intelligence”
International Journal of Advanced Research in Engineering & Technology (IJARET),
Volume 4, Issue 3, 2013, pp. 280 - 285, ISSN Print: 0976-6480, ISSN Online: 0976-6499.

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  • 1. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 32 AN INTELLIGENT FUZZY-BASED TSUNAMI WARNING SYSTEM Twinkle Tayal1, Dr. Prema K.V.2 1 (2nd year, M.Tech, CSE, FET, MUST, Rajasthan, India) 2 (Dept of CSE, FET, MUST, Rajasthan, India) ABSTRACT A tsunami is known as progression of water waves prompted by the dislodgement of a substantial volume of a body of water, generally an ocean or a large lake. There are various factors that can generate a tsunami like Earthquakes, volcanic eruptions and other underwater explosions, landslides, glacier calvings, meteorite impacts and other disarticulations above or below water. Tsunamis obliterate not only human population but all other species. There are number of confident ways to envisage such disasters and design diverse kinds of early warning systems. These can be prophesized on the climatic conditions and several other parameters. With the overture of modern science and computer technology, the field of Artificial Intelligence is showing an explicit utility in all spectrums of life. One such concept that is functioning as a detonation in the fields of environmental science and policy is fuzzy logic. In this work, we will try to foretell the tsunami based on the certain factors. All the parameters taken for this work are real- time and the data used is collected from the well-known organizations such as NOAA pacific tsunami warning centre, Japan meteorological agency, UNESCO international tsunami information centre. The system has been designed in the Matlab Fuzzy Logic Toolbox. The system designed by us is also compared with an existing system in this paper. Keywords: Tsunami, Tsunami Prediction, Tsunami Warning, Fuzzy, Fuzzy Logic. 1. INTRODUCTION Tsunamis are among the most detrimental natural disasters known to man. For most of the people who live close to sea shore, tsunami is the greatest menace of their live. Tsunami causes rivers and other water paths to brim over. This superfluous water can generate noxious currents and drag away people, causing them to drown. A tsunami has all of the destructive effects plus the added destructive power crashing waves [1]. As shown in fig.1, most of the oceanic tsunamis (up to 75% of all historical cases) are triggered by shallow-focus earthquakes dexterous of transferring INTERNATIONAL JOURNAL OF COMPUTER ENGINEERING & TECHNOLOGY (IJCET) ISSN 0976 – 6367(Print) ISSN 0976 – 6375(Online) Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME: www.iaeme.com/ijcet.asp Journal Impact Factor (2014): 8.5328 (Calculated by GISI) www.jifactor.com IJCET © I A E M E
  • 2. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976 ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. enough energy to the overlying water colu volcanic (5%) and meteorological (2%) tsunamis. clandestine sources. Though the effect of tsunamis is disastrous power can be colossal numerous tsunamis recorded in the history that were devastating and were very necessitate designing such methods tsunami. Figure The increasing esteem of artific fuzzy logic as a method to solve this problem and carry out this work utilized for foretelling tsunami because of the the nature of tsunami and different source tsunami. So, in this paper, we are proposing a fuzz tsunami based on the different parameters. All the data regarding the parameters are collected from the historical databases provided by the Japan meteorological agency, UNESCO internati 2. FUZZY LOGIC SYSTEMS A. Lotfi Zadeh, a professor at the University of California logic at Berkley. He presented this processing data by allowing fractional or partial set membership rather than or non-membership. Fuzzy logic means with words and so on. It bestows mathematical strength to the emulation of specific per linguistic traits associated with human cognition form of verbal phrases or linguistic terms suc values. If a system’s behaviour can be processes, fuzzy logic approach can be technique to a real application requires the following thre 1. Fuzzification – it converts classical data or crisp data into fuzzy data or Membership Functions (MFs). 2. Fuzzy Inference Process – it coalesce the fuzzy output. 3. Defuzzification – it uses several International Journal of Computer Engineering and Technology (IJCET), ISSN 0976 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 33 ying water column. The rest is estranged between the landslide (7%), volcanic (5%) and meteorological (2%) tsunamis. Up to 10% of all the historical run Though the effect of tsunamis is constrained to the coastal areas, their colossal and they can influence the entire ocean basins. There are sunamis recorded in the history that were devastating and were very such methods that can be used to warn people beforehand Figure -1: causes of tsunami [1] of artificial intelligence in the numerous fields, make us to method to solve this problem and carry out this work. In this work because of the undeniable reason that there is a natural e of tsunami and different sources of tsunami persuade differently on the occurrence of , we are proposing a fuzzy expert system that will alert about the tsunami based on the different parameters. All the data regarding the parameters are collected from cal databases provided by the organizations like NOAA pacific tsunami warning centre, meteorological agency, UNESCO international tsunami information centre. A. Lotfi Zadeh, a professor at the University of California, introduced the concept of fuzzy at Berkley. He presented this notion not as a control methodology, but as a fractional or partial set membership rather than crisp set Fuzzy logic means inexact reasoning, information granulation, computing mathematical strength to the emulation of specific per s associated with human cognition [2]. In fuzzy logic, information is linguistic terms such as big, small, very, few etc despite of values. If a system’s behaviour can be uttered by rules or entails very complex non processes, fuzzy logic approach can be useful in that system [3]. To put into practice, technique to a real application requires the following three steps: classical data or crisp data into fuzzy data or Membership coalesce membership functions with the control rules to s several methods to calculate each allied output [4]. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), between the landslide (7%), historical run-ups still have to the coastal areas, their ocean basins. There are sunamis recorded in the history that were devastating and were very damaging. It is to warn people beforehand regarding the fields, make us to prefer In this work, Fuzzy Logic is reason that there is a natural uncertainty in persuade differently on the occurrence of y expert system that will alert about the incident of tsunami based on the different parameters. All the data regarding the parameters are collected from NOAA pacific tsunami warning centre, , introduced the concept of fuzzy methodology, but as an approach of crisp set membership reasoning, information granulation, computing mathematical strength to the emulation of specific perceptual and In fuzzy logic, information is presented in h as big, small, very, few etc despite of numeric very complex non-linear put into practice, fuzzy logic classical data or crisp data into fuzzy data or Membership control rules to derive
  • 3. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 34 3. PRELIMINARIES It was a challenge for us to perceive the pertinent parameters in the beginning. So, a vigilant study was done and the best and most useful possible set of input parameters was selected, that could be ample to model the real time scenario and help us to precisely predict and warn about the tsunami. In total, 5 inputs are used in this fuzzy system. 1. Earthquake (EQ) – it is the most significant cause of tsunamis. Different scales are used for measuring the earthquakes. Here, measurements in Richter scale are used. Generally, it has been observed that earthquakes above 6.5 are supposed to cause tsunamis. 2. Focal depth (FD) - It is depth of an earthquake hypocenter (the point within the earth where an earthquake shatter starts). Tsunami when caused by earthquake, it also depends on the focal depth. The shallow focal earthquakes are most destructive. We have taken 0 to 65 km as range for shallow focal depth in this work. 3. Volcanic eruption index (VEI) - on land eruptions or underwater volcanic eruptions can cause tsunamis. VEI (volcanic eruption index) is used to define the kinds of eruptions as explosive or not. Optimal range of VEI is from 0 to 8. 4. Landslide (LS) - Landslides stepping into oceans, bays, or lakes can also cause tsunami. Generally, such landslides are generated by earthquakes or volcanic eruptions. 5. Height of waves in deep ocean (WD) – in deep ocean height of tsunami wave is very less, not more than 4meters due to decreased level of potential energy. As waves reach at the shore, the height of waves keeps on increasing. 4. METHODOLOGY Fuzzy inference system for tsunami warning system can be designed by applying following procedure in the Matlab Fuzzy Logic Toolbox: 1. Look over the problem to be solved and decide the input and output variables. 2. Deciding the fuzzy inference rules. This usually depends on human familiarity, understanding and trial-and-error. 3. Fuzzy membership functions for all the inputs and the output. Fuzziness in a fuzzy set is illustrated by its membership functions. It recognizes the element in the set, if it is discrete or continuous. 4. Perform fuzzy inference based on the inference method. Smoothness of the final control surface is resolute by the inference and defuzzification methods. 5. Select a defuzzification method. Defuzzification means the conversion of fuzzy to crisp. In this work, we are using the Mamdani method for the compelling reasons as it is spontaneous, commonly used, extensively accepted and it is suited to system requiring human intervention. In the present work, system is developed by using the GUI tools, which consists of five editors to build, edit and view the system, as shown in fig.2, namely 1. Fuzzy Inference System (FIS) Editor – utilized for handling the issues for the system like number of input and output variables and their names. 2. Membership Function Editor- used for defining shapes of all the membership functions allied with each variable. 3. Rule Editor- utilized to edit the list of rules that defines the behavior of the system.
  • 4. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 35 4. Rule Viewer- used to view the fuzzy inference diagram. It is used to see which rules are active, or how individual membership function shapes influence the results. 5. Surface Viewer – it is utilized to view the dependency of one of the outputs on any one or two of the inputs. It generates and plots an output surface map for the system. Precisely, a fuzzy decision is the upshot of weighing the facts and its significance in the same way as humans take decisions. Fuzzy logic replicates human like thinking where the human can figure out a vague inference from an assortment of imprecise premises [5]. Figure – 2: GUI editors in Mamdani fuzzy method [5] The overall fuzzy inference model for tsunami prediction system can be shown as in the fig.3. Figure -3: fuzzy inference system for tsunami prediction 4.1. Input/ Output Membership Functions There are 5 inputs in this system. Each input is defined by using the different membership functions. The output alert is described by the membership functions rare, advisory
  • 5. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 36 and warning. The output of system will be rare if no tsunami is likely to occur, advisory if there may be chances of tsunami in near future and warning if tsunami is definite and can be destructive. These functions symbolize a degree of a binary value, 1 being the highest and 0 being the lowest. All the inputs and output are described by trapezoidal membership function to maintain uniformity in the system. All the membership functions are shown in the Table 1 and the snapshots of Matlab Fuzzy Logic Toolbox in the figures below. TABLE 1: Membership Functions of Inputs and Output Figure -4: membership function for input EQ Figure-5: Membership Function for input VEI. Variable Membership functions EQ {WEAK,MILD,STRONG} FD {SHALLOW,MODERATE,DEEP} VEI {NON_EXPLOSIVE,MILD,EXPLOSIVE} LS {WEAK,MILD,STRONG} WD {TSUNAMI,MAYBE,NORMAL} ALERT(OUTPUT) {RARE, ADVISORY, WARNING}
  • 6. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 37 Figure- 6: Membership Function for input LS . Figure – 7: Membership Function for input FD Figure -8: Membership Function for input WD
  • 7. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 38 Figure – 9: Membership Function for output ALERT 4.2. Fuzzy Rules Fuzzy rules are the most imperative part in the fuzzy system. These rules can be selected on the basis of one’s knowledge, perception or understanding of the problem. As here, we are using the standardized data for all the inputs; fuzzy rules are dependent on them. The fuzzy rules are in the form of IF x then y. The rules in our system are defined in the following way: 1. If (EQ is WEAK) and (VEI is MILD) and (LS is MILD) and (FD is SHALLOW) and (WD is MAYBE) then (ALERT is WARNING) 2. If (EQ is STRONG) and (VEI is MILD) and (LS is MILD) and (FD is MODERATE) and (WD is MAYBE) then (ALERT is ADVISORY) 3. If (EQ is MILD) and (VEI is NON_EXPLOSIVE) and (LS is MILD) and (FD is DEEP) and (WD is NORMAL) then (ALERT is RARE) The rule editor for the system of Matlab Fuzzy Logic Toolbox is shown in figure 9. Figure – 10: Rule Editor
  • 8. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 39 4.3. Simulations We have accomplished a number of experiments by entering the different values of the inputs and every time the system is giving correct output as it was supposed according to our perception and information according to historical databases. Rule viewer can be used to enter the inputs and see how each and every rule is behaving on your given input. Finally, it gives one defuzzified crisp output based on the method you had used. When the decisive parameters are in range of warning, the input values in this situation for the different parameters are [9 0 0 10 2] and the corresponding rule viewer is shown in fig. 11. Figure – 11: rule viewer when decisive parameters are in warning range The result for the input given above is coming out to be 0.8276, which is under the warning range. When the output alert should be advisory: when we input values as [9 0 0 10 9], the defuzzified value comes out to be 0.5, which is under advisory range. When the output alert should be rare: rare will be the alert when no risk of tsunami is there. When we input values as [4 0 0 300 9], the defuzzified value comes out to be 0.169, which is under rare range. 5. RESULTS AND ANALYSIS On carrying out a number of experiments with different data sets, we are getting the correct output every time as supposed. We have compared our work with the work in the IEEE research paper “Cherian, Carathedathu Mathew, Nivethitha Jayaraj, and S. Ganesh Vaidyanathan, Artificially Intelligent Tsunami Early Warning System, 12th International Conference on Computer Modeling and Simulation (UKSim), 2010, pp. 39-44. IEEE, 2010”[6]. In this paper, they have taken only 2 parameters, but we have taken 5 inputs as according to our detailed study of NOAA tsunami historical database [7] that consists information on tsunami events from 2000 B.C. to the present in the Atlantic, Indian, and Pacific Oceans; and the Mediterranean and Caribbean Seas, along with the earthquake, landslides and volcanic eruptions are also causes tsunami and tsunami largely depends on the focal depth. They had also implemented the problem in the Matlab Fuzzy Logic Toolbox as we have. We have taken standardized and real- time data according to the well known authorities NOAA pacific tsunami warning centre, Japan meteorological agency, UNESCO international tsunami information centre and defined our membership functions for each input according to the standard ranges. As they had taken 2 inputs, they are using 12 rules in their system whereas we are using 159 rules to describe the system,. We have uniformity in our system as we
  • 9. International Journal of Computer Engineering and Technology (IJCET), ISSN 0976-6367(Print), ISSN 0976 - 6375(Online), Volume 5, Issue 4, April (2014), pp. 32-40 © IAEME 40 have described all the inputs by the trapezoidal membership functions. They had divided the different parameters into various no. of ranges, like for output they are using 5 sets, where as we are taking 3 sets namely rare, advisory and warning, which is a more realistic situation and simple to recognize. Moreover, when compared with this existing system, our system is found to be more capable and is giving better outcomes. 6. CONCLUSION Fuzzy logic imparts a complementary approach to signify linguistic and subjective facets of the real world in computing. The intent behind choosing fuzzy logic in this work is that system uses fuzzy logic model put across valuable and real results depending on the uncertain, vague, inconclusive, indecisive and imprecise verbal acquaintance just like logic of a human being. Moreover, it takes long time to use other existing methods for such problems whereas we can reach a general solution by doing only limited number of experiments in fuzzy. Mamdani has been designed in this study. The prediction scheme presented here can be deliberated as a step towards the prediction of this destructive natural hazard tsunami. This can successfully be pertained by taking other parameters into consideration and moreover, in this study, we have used general data evaluated from the historical database, this system can work more efficiently if data for a particular area is used. 7. REFERENCES [1] Sidharth Das, BiramBaburayBaskey, Design of an Embedded System for the Detection of Tsunami, B.tech Dissertation, Dept. Electronics and communication Eng., National Institute of Technology, Rourkela, May, 2012. [2] Ying Bai and Dali Wang, Fundamentals of Fuzzy Logic Control – Fuzzy Sets, Fuzzy Rules and Defuzzifications, Advanced Fuzzy Logic Technologies in Industrial Applications, Springer, 2006. [3] Poongodi, M., Manjula, L., Pradeepkumar, S. and Umadevi, M, Cancer prediction technique using fuzzy logic, International journal of Current Research, Vol. 3, Issue 11, pp. 333-336, Dec., 2011. [4] Lotfi a. Zadeh, Knowledge Representation in Fuzzy Logic, IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, VOL. I, NO. I, MARCH 1989. [5] Sivanandam, S. N., Sai Sumathi, and S. N. Deepa. Introduction to fuzzy logic using MATLAB. Vol.1. (Berlin: Springer, 2007). [6] Cherian, Carathedathu Mathew, Nivethitha Jayaraj, and S. Ganesh Vaidyanathan, Artificially Intelligent Tsunami Early Warning System, 12th International Conference on Computer Modeling and Simulation (UKSim), 2010, pp. 39-44. IEEE, 2010” [7] National Geophysical Data Center / World Data Service (NGDC/WDS): Global Historical Tsunami Database. National Geophysical Data Center, NOAA, doi: 10.7289/V5PN93H7. [8] Mohammed Sirajuddin, Dr D. Rajya Lakshmi, Dr Syed Abdul Sattar and Nafisur Rahman, “Fuzzy Logic — The Fascinating Logic Behind Artificial Computational Intelligence” International Journal of Advanced Research in Engineering & Technology (IJARET), Volume 4, Issue 3, 2013, pp. 280 - 285, ISSN Print: 0976-6480, ISSN Online: 0976-6499.