Concept Maps are very effective for language-free expression and communication of concepts visually. The fundamental structures, which are not all graphic, are also very elegant for encoding knowledge for machine processing.
The building blocks of knowledge (Nodes and Links) are NOT sufficiently "expressive & precise". HyperPlex fills this need. See the PPT by that name in https://www.slideshare.net/putchavn
Both the concepts are explained with examples.
Good for general use and a prerequisite for knowing what is knowledge and how to represent it. Leave a comment.
4. WHAT ARE CONCEPT MAPS
Concept 4
Graphical or Visual
Representations of
concepts (in ovals)
And their relations
(arrow lines with labels)
Concept 1
Relation 3
Relation 2
Relation 1
Concept 3
Concept 2
Concept Maps & Knowledge Encoding
Relation 4
Concept 5
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5. CONCEPT MAPS WITH BLOCK ARROWS
Concept 1
Relation 1C
Concepts in ovals
And their relations
in Block Arrows
Concept 2
Concept Maps & Knowledge Encoding
Concept 4
Relation
4
Concept 3
Concept 5
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6. WHAT CONCEPT MAPS ARE NOT
Topic Maps
Very close;
Mind Maps
Hierarchy of concepts
Associations are not labeled
Ontology—very close
Occurrences are added
Biological or Artificial
Neural Networks
ISO standard for knowledge
Interchange
Concept Maps & Knowledge Encoding
Images of brain
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7. ORIGIN OF CONCEPT MAPS
Invented in 1972
By Novak & Cañas et al
To enable children to
build concepts of
science
Concept Maps & Knowledge Encoding
At Cornell University
In collaboration with Florida
Institute for Human and Machine
Cognition
http://cmap.ihmc.us/publications/resear
chpapers/originsofconceptmappingtool.
pdf
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8. ELEGANT FOR HUMANS & MACHINES
Graphic Concept Maps
Help clear
Visualizing, expression
and communication
By humans
Concept Maps & Knowledge Encoding
More importantly
The principles of Concept
Maps also help
Precise representation of
knowledge
For Machine Processing
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9. PRINCIPLES OF CONCEPT MODELING
SECTION 2
Concept Maps & Knowledge Encoding
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10. WHAT IS CONCEPT?
An idea or a thought
A set of related thoughts
A concept is an idea,
something that is conceived in
the human mind--Wikipedia
Concept Maps & Knowledge Encoding
These are colloquial
definitions or meanings
See separate PPT for
Fundamentals of Thinking,
Brain, Mind &
Consciousness for details
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11. CONCEPTS ARE FORMED IN MIND ABOUT
Stand-alone
1. Entities, existing or
imagined objects
2. Phenomena
3. Sensations,
1….5
4. Emotions
5. Actions
6. Relations among 1….5
What and where is MIND?
NOT discussed here
We will discuss simple and
complex concepts using 1…5
and 6
Linking Concepts
Concept Maps & Knowledge Encoding
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12. STAND-ALONE CONCEPT --- MONAD
It can be defined directly
without reference to any
other concept
Monads
Have their own properties
Mountain
Self-sufficient
Some nouns are monads
And some are NOT
Concept Maps & Knowledge Encoding
Man
Neuron
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13. TWO FUNDAMENTAL BUILDING BLOCKS
Stand-alone
Concept
Monad
And
Mutually
Exclusive
Linking
Concept
Defined in the previous slide
Is also a concept
Can be a Subject or Object
Connects two concepts
In Subject-Predicate-Object
structure of RDF standard
Shows their relation
Has many sub-types
Has many sub-types
Concept Maps & Knowledge Encoding
Also called predicate
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14. LINKING CONCEPT: A LABELED ARROW
Concept 2
That is the form used in the
original proposal
It is mistaken as a pointer
Block arrow shows that
LINK is a solid, full-fledged
object
Concept Maps & Knowledge Encoding
Relation 1
Concept 1
Relation 2
Concept 3
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15. CONCEPT MAP OF CONCEP MAP
Concept Map is a graphical representation of
A compound concept
Is it a class or
composition
diagram?
Concept
In terms of monads (or Nodes) & Links
This is the basis of
UML Class & Composition Diagrams
Semantic Web &
RDF Resource Description Framework
Concept Maps & Knowledge Encoding
Stand-alone
Concept
Monad
Linking
Concept
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16. RECIPROCAL RELATION
Every BINARY relation has direction
Every relation R1 has a reciprocal R2
B is friend of A
Different (asymmetrical)
P is father of Q
But Q cannot be father of P
Concept Maps & Knowledge Encoding
Has relation
R1 with
A is friend of B &
Has relation
R2 with
R1 & R2 may be the same (symmetrical)
Monad
Concept 1
Monad
Concept 2
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17. Mutually
dependent
DYAD—INVOLVES TWO CONCEPTS
Neither can be defined by itself
Child is NOT just small man (boy)
or woman (girl)
Mother
Mother is NOT just any woman
The two concepts arise together
Child
Necessary for each other
Concept Maps & Knowledge Encoding
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18. DYADS—MOTHER & CHILD AND RELATION
Concept
Type
Mother is a woman who
Dyad
Gives birth to
Relation
Mother
A child (male or female) Dyad
Concept Maps & Knowledge Encoding
Child
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19. DYAD —IMPACT IS A PHENOMENON
What happens when
TWO bodies
Moving
Body 1
IMPACT
At least one of which
is moving
Come into contact
with the other
Concept Maps & Knowledge Encoding
Moving or
stationary Body 2
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20. TRIAD—RELATES TWO OR MORE CONCEPTS
Concept Maps & Knowledge Encoding
Motherhood
Mother
A total concept of
a woman giving
birth to a child
and nurturing the
child
Child
Motherhood
Is childhood a
reciprocal concept?
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21. TRIAD—AVIATION
Aviation
Concept Maps & Knowledge Encoding
Passengers
Planes
Aviation
A relation
between
Mode of travel by
air and
The passengers &
cargo
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22. MORE THAN A TRIAD --- COMMERCE
Concept Maps & Knowledge Encoding
Goods /
Services
Seller
Buyer
Money
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23. Consists of
Consists of
Is a part of
Concept Maps & Knowledge Encoding
Elements
Environment
MORE THAN A TRIAD --- SYSTEM
Interrelated &
interacting
Is a part of
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24. HOW ABOUT “REASONING”
This came up in the
discussions during
The IEEE Seminar on
Semantic Networks
at Muffakhram Jah
College of
Engineering and
Technology, Hydrabad
on 14 DEC 13
1. It falls under item 5 Actions
2. In humans, the action is mental
3. Expression of 2 is in some natural language
4. Reasoning involves application of rules of logic
5. To observations, statements, conclusions
6. It is more than a triad
7. Send your concept map to putchavn@yahoo.com
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26. THE ESSENTIAL NATURE OF CONCEPTS
Essentially the Concept
Maps seem to exist in
Human minds or
Text & speech or
Computers
To represent & process
knowledge
Concept Maps & Knowledge Encoding
The exact form
Of concept maps in
Humans & Machines varies
But recognition of the
essential nature of
knowledge is profound
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27. HUMAN EXPRESSION & COMMUNICATION
Expression is explicit statement
for communication
Can be observed & interpreted
If standard conventions,
grammar, lexicon are
followed
Expressions can be physiological The expressions clearly
communicate the concepts
changes, gestures, utterances,
speech, linguistic, mathematical, Some negotiation may be
graphic..
necessary to disambiguate
Concept Maps & Knowledge Encoding
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28. HUMAN & MACHINE COMPATIBILITY
See
Data & Information:
Knuth’s Definitions
Concept Maps
graphically represent
knowledge
The explicit
Using Nodes & Links
Is also well-suited for
machine processing
For use by humans
Concept Maps & Knowledge Encoding
Information & data
Relating to Nodes & Links
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29. CONCEPT MAPS FOR MACHINE PROCESSING
The explicit Nodes
& Links of Concept
Maps
Help knowledge
representation for
Humans &
Machines
Concept Maps & Knowledge Encoding
Information is in the microstructures of templates of
See
Nodes & Links
HyperPlex
Data are in
The populated Nodes & Links +
The specific configurations of
populated Nodes and Links
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30. HIGH PRECISION QUERY-RESPONSE
By defining
microstructures of
Nodes and Links
All those details can be precisely
EVALUATED to generate specific
responses for action
We can encode
Not like thousands of hits of search
many more details
engines
of concepts
See
See HyperPlex
HyperPlex
precisely
Concept Maps & Knowledge Encoding
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31. FORMAL CONCEPT ANALYSIS
So far we have used Rudolf Wille’s proposal of
linguistic description
Concept Lattices & Formal
of concepts
Concept Analysis in 1982 is
generally accepted as very
Traditional Logic is
significant
applied to concept
analysis
See the Appendix on this
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Concept Maps & Knowledge Encoding
31
32. LINKS TO REFERENCES CITED
http://www.slideshare.net
/putchavn/knuthsdefinitions-of-data-andinformation-04-mar13
http://www.slideshare.net
/putchavn/hyper-plexhigh-precisionqueryresponse-knowledgerepository-pdf
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33. SUMMARY & CONCLUSION
Concept Maps are simple
and profound for
Knowledge representation,
communication and
processing
KIF, RDF & UNL are some
standards for encoding
knowledge in machines
HyperPlex is our proposal
for high precision queryresponse
Both in humans & machines
Concept Maps & Knowledge Encoding
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35. PRECISION OF CONCEPT (MATH)
http://en.wikipedia.org/wiki/A
ccuracy_and_precision
This is informative but applies
to quantitative measurement
See the notes below
This does not apply to concept
Formal Concept Analysis is a
branch of mathematics
Deals with concepts and
context in terms of Objects,
their attributes and
interrelations between them
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Concept Maps & Knowledge Encoding
35
36. FORMAL CONCEPT ANALYSIS (INFORMATION SCIENCE)
a principled way of
deriving a concept
hierarchy or
formal ontology from
a collection
of objects and
their properties.
Each concept in the hierarchy represents
the set of objects sharing the same values
for a certain set of properties; and
each sub-concept in the hierarchy
contains a subset of the objects in the
concepts above it
Fits with INTRA Class Diagram of OOAD
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Concept Maps & Knowledge Encoding
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37. TENTATIVE VIEW OF PRECISION OF CONCEPT
It is best to apply Formal Concept
Analysis and Concept Lattices
The class-subclass hierarchy of
OOAD is sound and applicable
PRECISION of CONCEPT may be
taken as 1/n TENTATIVELY, where n
is the number of all sub-classes of
the concept class
Precision of a
concept is NOT
fineness of
concept but its
distinction from
similar concepts
of the class
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38. A COMPREHENSIVE AND EXCELLENT SOURCE
INTRODUCTION TO FORMAL CONCEPT
ANALYSIS (2008)
RADIM BˇELOHL´AVEK
Department of Computer Science Palacky
University, Olomouc
It is highly
mathematical
Needs to be studied
for modeling and
software
development
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Concept Maps & Knowledge Encoding
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39. ORDERED SETS
http://logcom.oxfor
djournals.org/conte
nt/12/1/137.short
http://golem.ph.ute
xas.edu/category/2
013/09/formal_con
cept_analysis.html
Concept Maps & Knowledge Encoding
schroeder, ordered sets, first
chapter.pdf - Louisiana Tech
University
Schröder, Bernd S. W. 1966Ordered sets : an introduction
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