fuzzy cognitive mapping .ppt new

Guided by : Mr. Abdul Kareem Mtech, Ph.D

Presented By, USN Naveen H 4SF10EC062 Najashree 4SF10EC061 Ravi Ghael 4SF10EC079 Shreyas A S 4SF11EC421

Rule Based Fuzzy Cognitive Mapping:Applications in Education

Engineer 2013 , NITK , Suratkal

Sahyadri college of engineering and management.

CONTENTS

• Abstract• Introduction• Fuzzy Logic• Fuzzy cognitive maps• Fuzzy and crisp sets• Concept mapping• Causality and FCMs• Conclusion

Fuzzy cognitive mapping, Sahyadri college of engineering and management.

ABSTRACT

Fostering conceptual and cognitive change.

Creating metaknowledge and exploring hidden implications of a learner’s understanding.

‘‘So far as the laws of mathematics refer to reality, they are not certain. And so far as they are certain, they do not refer to reality.’’


INTRODUCTION

Fuzzy Cognitive Mapping(FCM) is a tool for formalizing understandings of conceptual and casual relationships.

FCMs in educational organization.

FCM combine the strength of cognitive maps with fuzzy logic.


FUZZY LOGIC

Embeds human knowledge into working algorithms.

highly complex systems whose behaviors are not well understood.

If-Then rules are the examples of structured knowledge.

Important tool in generic decision making.


FUZZY SETS

Fuzzy Sets can represent the degree to which a quality is possessed.

Fuzzy Sets (Simple Fuzzy Variables) have values in the range of [0,1]


FUZZY COGNITIVE MAPS• Fuzzy logic is a system for representing

uncertainty, or possibility. EXAMPLES OF FCMS:


FUZZY LOGIC SYSTEM

Fuzzification: transforming crisp values into linguistic terms of fuzzy sets.

Inference mechanism: Interprets the values in the input vector and, based on user-defined rules, assigns values to the output vector. Usually based on if-then rules.

De-Fuzzification: conversion of fuzzy output to crisp


FUZZY AND CRISP SETS


CONCEPT MAPPING Graphical representations of a specified

conceptual domain.

Include some aspect of subjectivity.

Representation of the perceptions and beliefs of a decision maker

Represent a form of distributed intelligence. structure activity save mental work avoid error.


FUZZY COGNITIVE MAP

FUZZY LINGUISTIC VARIABLES

Fuzzy Linguistic Variables are used to represent qualities spanning a particular spectrum

Social :{police vigilance, theft } ;



Police vigilance

Theft

CLASSIFICATION OF FUZZY INFERENCE METHODS


MAMDANI'S METHOD

Step 1: Evaluate the antecedent for each rule.

Step 2: Obtain each rule's conclusion.

Step 3: Aggregate conclusions.

Step 4: Defuzzification.


CAUSALITY AND FCMS

The relation between causes and effects

Fuzzy logic allows the representation of fuzzy concepts and degree of causality.

FCMs are a tool for representing a dynamic process

and modeling the process in real-time.

FCMs is the temporal and causal nature.


ADVANTAGES

1. FCMs capture more information in the relationships between concepts.

2. FCMs are dynamic.

3. FCMs express hidden relationships.

4. FCMs are combinable.

5. FCMs are tunable.


CONCLUSION

Potential usefulness of fuzzy cognitive mapping in educational organization settings.

Combining the capability of fuzzy logic to represent soft knowledge domains with dynamic modeling.

Stimulates educational research to recognize the unique applicability of fuzzy logic to our field.


REFERENCES

Jason R. Cole, Kay A. Persichitte, Fuzzy Cognitive Mapping, University of Northern Colorado,

Kosko B. Fuzzy cognitive maps. Int J Man-Mach Stud 1986;24:65]75.

Gardner H. The unschooled mind: How children learn and how schools should teach.

João Paulo Carvalho José A. B. Tomé Rule Based Fuzzy Cognitive Maps and Fuzzy Cognitive Maps –A Comparative StudyINESC - Instituto de Engenharia de Sistemas e Computadores

Queries ?


Thank You


Backup slides


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