we discuss about the happiness of the students by their studies particularly in kodaikanal hill villages. Then propose a set of fuzzy If-Then rules that can classify the happiness of the student. According to these rules, we can classify that each student attains long term happiness and short term happiness. The advantage of these fuzzy If-Then rules for classifying this problem makes a particular peoples future generation to come up in their life.

1. Integrated Intelligent Research(IIR) International Journal of Business Intelligent
Volume: 04 Issue: 01 June 2015,Pages No.47- 49
ISSN: 2278-2400
47
The Happiness of the Kodaikanal Hill Villages
Students in Studies
A. Victor Devadoss1
, A. Felix2
, L.Samraj3
1
Head Dept. of Mathematics, Loyola College, Chennai – 600034.
2
PhD Research Scholar, Loyola College, Chennai – 600034.
3
M.Phil. Mathematics, Loyola College, Chennai – 600034.
Email:1
hanivictor@gmail.com, 2
afelixphd@gmail.com, 3
coolsamtrichy@gmail.com
Abstract-In this paper we discuss about the happiness of the
students by their studies particularly in kodaikanal hill villages.
Then propose a set of fuzzy If-Then rules that can classify the
happiness of the student. According to these rules, we can
classify that each student attains long term happiness and short
term happiness. The advantage of these fuzzy If-Then rules for
classifying this problem makes a particular peoples future
generation to come up in their life.
Keywords: Happiness, fuzzy logic, fuzzy classification,
triangular fuzzy number.
I. INTRODUCTION
The paper is regarding the Happiness of kodaikanal hill
village’s students in studies. The people of hills are very much
attached with the nature, so that the students are not willing to
leave their place for studies and for any cause too. And they
don’t have a role model in their villages to get motivated by
them to come in their life. So that to find a solution to this and
to reduce the dropouts level of the students, we are using the
fuzzy logic, If-Then rule and triangular fuzzy number system.
1. Preliminaries
1.1 Fuzzy Logic
Basically, Fuzzy Logic (FL) is a multi-valued logic that allows
intermediate values to be defined between conventional
evaluations like true/false, yes/no, high/low, etc. Notions like
rather tall or very fast can be formulated mathematically and
processed by computers, in order to apply a more humanlike
way of thinking in the programming of computers.While fuzzy
rule-based systems have been mainly applied to control
problems in the past, recently they have also been applied to
pattern classification problems. Various methods have been
proposed for the automatic generation of fuzzy if-then rules
from numerical data for pattern classification [2]. Pattern
recognition can be defined as a process of identifying structure
in data by comparisons to known structure; the known
structure is developed through methods of classification.Rule-
based expert systems are often applied to classification
problems in fault detection, biology, medicine etc. Fuzzy logic
improves classification and decision support systems by
allowing the use of overlapping class definitions and improves
the interpretability of the results by providing more insight into
the classifier structure and decision making process. The
automatic determination of fuzzy classification rules from data
has been approached by several different techniques: neuro-
fuzzy methods, genetic-algorithm based rule selection and
fuzzy clustering in combination with GA optimization.
1.2 Triangular Fuzzy Number
Among the various shapes of fuzzy number, triangular fuzzy
number (TFN) is the most popular one.
Triangular fuzzy number is a fuzzy number which is
represented with three points as follows:
A = (a1, a2, a3)
This representation is interpreted as membership functions
 
1
1
1 2
2 1
3
2 3
3 2
3
0,
,
,
0,
A
x a
x a
a x a
a a
x
a x
a x a
a a
x a



 
  


 

  
 



1.3 Ranking Fuzzy Numbers
Often it is needed to convert a triangular fuzzy number into a
crisp real number that is to locate the best non-fuzzy value to
the initial fuzzy value. There exists several available methods
in this paper we use the expected value. If A = (a1, a2, a3),
then its expected value is introduced by
   
1 2 3
1
2
4
EV A a a a
   .

2. Integrated Intelligent Research(IIR) International Journal of Business Intelligent
Volume: 04 Issue: 01 June 2015,Pages No.47- 49
ISSN: 2278-2400
48
Many authors have proposed different methods for ranking
fuzzy numbers, particularly triangular fuzzy numbers. In the
present paper we use, for its simplicity especially, the order
denoted by and defined by
   
' '
A A EV A EV A
  .
1.4 Fuzzy Classification
Let us assume that our pattern classification problem is an n-
dimensional problem with M classes and m given training
patterns  
1 2
, ,.... , 1,2,...
p p p pm
X x x x p m
  . Without
loss of generality, we assume each attribute of the given
training patterns to be normalized into the unit interval [0, 1];
that is, the pattern space is an n-dimensional unit hypercube
 
0,1
n
. In this study we use fuzzy If-Then rules of the
following type as a base of our fuzzy rule-based classification
systems:
Rule j
R : if 1
x is 1
j
A and ….. and n
x is jn
A .
Then class j
C with , 1,2,....
j
CF j N
 where j
R is the label
of the j-th fuzzy if-then rule, 1....
j jn
A A are antecedent fuzzy
sets on the unit interval [0,1] , j
C is the consequent class (i.e.
one of the M given classes), and j
CF is the grade of certainty
of the fuzzy if-then rule j
R . As antecedent fuzzy sets we use
triangular fuzzy sets as in
Figure where we show a partition of the unit interval into a
number of fuzzy sets.
Classification of happiness of students using Fuzzy IF-THEN
Rules
II. ADAPTATION TO THE MODEL
2.1Fuzzy If-Then rule
In order to solve a fuzzy classification problem within a
knowledge-based fuzzy inference system (FS) it is necessary to
fuzzify attributes, determine all IF-THEN rules (rule base),
process them and provide result in a usable and understandable
form. Here, two attributes short and long term happiness.
According to these fuzzy attributes we determine two fuzzy IF-
THEN rules with the following structure.If the student
studying in the hills only. Then he gets short-term happiness.
(Student not shines in future and lacking lot of resources) If
the student studying in the plains.Then he gets long-term
happiness. (Student shines in future and getting lot of
resources).
2.2Situation of the students in hill villages
 Normally they have more attachment with their
parents.
 They don’t have a role model to come up in their life
(living example).
 They are living with nature (everything is available
based on seasons).
 They do any manual hard work.
Because of that many school dropouts occur. And they got
married before the age of 20 and struggling to run their family.
2.3Description of the problem
Mostly the students of the kodai hill villages are studying in
their respective places and some of them are going to the plains
to do their studies.And by the data collected about the students,
those who are studying in the hills and those who have gone
out of their places especially to the plains to study. There is
some difference among them in their career by the benefit of
their studies.
Using the fuzzy number we have taken the data which is
given in the below table Table: 1
2.4Normalized value
By    
1 2 3
1
2
4
EV A a a a
  
Students of hills Education Benefits
Students studying in hills 15 7.77

3. Integrated Intelligent Research(IIR) International Journal of Business Intelligent
Volume: 04 Issue: 01 June 2015,Pages No.47- 49
ISSN: 2278-2400
49
Students studying in plains 9 8.22
III. CONCLUSION
In this paper we have used If-Then rules based classifier
method. In these rules we compare the happiness of students in
the kodaikanal villages as long term happiness and short term
happiness. The student studying in the hills itself, lacking lot of
sources and at present he can be happy with family and what
he have but without proper and higher education he can’t live a
better life in future. But the student coming out of his place to
study may lose his happiness of being with his parents and etc
at present. But by the proper and higher education he could live
a better life in future happily. So that if the students come out
of their places and studied in the plains, the drop out level will
be reduced and they will get more role models among their kit
and kins.
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