| Description |
1 online resource |
| Contents |
Foreword; Contents; 1 Fundamentals of Fuzzy Information Measures; 1.1 Introduction to Fundamental Concepts of Fuzzy Set Theory; 1.1.1 Crisp (Classical) Set; 1.1.2 Fuzzy Set; 1.1.3 Difference Between Crisp Set and Fuzzy Set; 1.1.4 Operations on Fuzzy Sets; 1.1.5 Fundamental Properties of Fuzzy Sets; 1.1.6 Some Basic Concepts; 1.2 Fuzzy Entropy Measures and Their Generalizations; 1.3 Measures of Fuzzy Divergence; 1.4 Intuitionistic Fuzzy Set Theory; 1.4.1 Intuitionistic Fuzzy Set; 1.4.2 Operations on Intuitionistic Fuzzy Sets; 1.5 Intuitionistic Fuzzy Divergence Measures; 1.6 Decision-Making |
|
1.6.1 Importance of Fuzzy Set Theory in Research1.7 Pattern Recognition; 1.8 Linguistic Variables; 1.9 Concluding Remarks; References; 2 Parametric Generalized R-norm Fuzzy Information and Divergence Measures; 2.1 Generalized R-norm Fuzzy Information Measures; 2.2 New Parametric Generalized R-norm Fuzzy Information Measures; 2.3 Numerical Example; 2.4 Generalized Measures of R-norm Fuzzy Divergence; 2.5 Two New Generalized R-norm Fuzzy Divergence Measures; 2.6 Properties of New Generalized R-norm Fuzzy Divergence Measures |
|
2.7 Relation Between Proposed Generalized R-norm Fuzzy Entropy and Divergence Measures2.8 Concluding Remarks; References; 3 Parametric Generalized Exponential Fuzzy Divergence Measure and Strategic Decision-Making; 3.1 Generalized Measures of Fuzzy Divergence; 3.2 New Parametric Generalized Exponential Measure of Fuzzy Divergence; 3.3 Properties of Generalized Exponential Fuzzy Divergence Measure; 3.4 A Comparative Study; 3.5 Application of Parametric Generalized Exponential Measure of Fuzzy Divergence in Strategic Decision-Making |
|
3.6 Application of Fuzzy TOPSIS and MOORA Methods for Strategic Decision-Making: A Comparative Analysis3.6.1 Fuzzy TOPSIS Method; 3.6.2 Fuzzy MOORA Method; 3.6.3 A Comparative Analysis of the Proposed Method and the Existing Methods of Strategic Decision-Making; 3.7 Concluding Remarks; References; 4 Sequence and Application of Inequalities Among Fuzzy Mean Difference Divergence Measures in Pattern Recognition; 4.1 Preliminaries on Fuzzy Mean Divergence Measures; 4.2 Sequence of Fuzzy Mean Difference Divergence Measures; 4.3 Inequalities Among Fuzzy Mean Difference Divergence Measures |
|
4.4 Application of Fuzzy Mean Difference Divergence Measures to Pattern Recognition4.5 Numerical Example; 4.6 Concluding Remarks; References; 5 Applications of Generalized Fuzzy Divergence Measure in Multi-criteria Decision-Making and Pattern Recognition; 5.1 A New Parametric Generalized Measure of Fuzzy Divergence; 5.2 Properties of Proposed Generalized Fuzzy Divergence Measure; 5.3 Applications of the Proposed Generalized Fuzzy Divergence Measure; 5.3.1 Pattern Recognition; 5.3.2 Multi-criteria Decision-Making; 5.4 Concluding Remarks; References |
| Summary |
This book develops applications of novel generalizations of fuzzy information measures in the field of pattern recognition, medical diagnosis, multi-criteria and multi-attribute decision making and suitability in linguistic variables. The focus of this presentation lies on introducing consistently strong and efficient generalizations of information and information-theoretic divergence measures in fuzzy and intuitionistic fuzzy environment covering different practical examples. The target audience comprises primarily researchers and practitioners in the involved fields but the book may also be beneficial for graduate students |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Fuzzy sets.
|
|
Fuzzy mathematics.
|
|
Maths for scientists.
|
|
Cybernetics & systems theory.
|
|
Pattern recognition.
|
|
Language: reference & general.
|
|
MATHEMATICS -- General.
|
|
Fuzzy mathematics
|
|
Fuzzy sets
|
| Form |
Electronic book
|
| Author |
Ohlan, Ramphul, author
|
| ISBN |
9783319459288 |
|
3319459287 |
|
