Generalizations of fuzzy information measures. (2016)

• Record Type: Book
• Further Information: Note: Anshu Ohlan, Ramphul Ohlan.
• Authors: Ohlan, Anshu; Ohlan, Ramphul
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 511.3/223; Computer science; Fuzzy sets; Fuzzy mathematics; MATHEMATICS -- General; Fuzzy mathematics; Fuzzy sets; Computers -- Computer Science; Technology & Engineering -- General; Computers -- Computer Vision & Pattern Recognition; Language Arts & Disciplines -- Linguistics -- General; Maths for scientists; Cybernetics & systems theory; Pattern recognition; Language: reference & general; Optical pattern recognition; Engineering; Biometrics; Applied linguistics; Electronic books
• Languages: English
• ISBNs: 9783319459288; 3319459287
• Related ISBNs: 9783319459271; 3319459279
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.