UID:
almafu_9958106766402883
Umfang:
1 online resource (413 p.)
ISBN:
1-282-03468-5
,
9786612034688
,
0-08-091772-0
Serie:
Mathematics in science and engineering ; v. 144
Inhalt:
Fuzzy Sets and Systems
Anmerkung:
Description based upon print version of record.
,
Front Cover; Fuzzy Sets and Systems: Theory and Applications; Copyright Page; Contents; Foreword; Preface; Acknowledgments; Part I: Introduction; Introduction; Appendix: Some Historical and Bibliographical Remarks; References; Part II: Mathematical Tools; Chapter 1. Fuzzy Sets; A. Definitions; B. Set-Theoretic Operations; C. α-Cuts; D. Cardinality of a Fuzzy Set; E. Inclusions and Equalities of Fuzzy Sets; F. Convex Fuzzy Sets and Fuzzy Structured Sets; G. L-Fuzzy Sets; H. Measures of Fuzziness; References; Chapter 2. Extension Principle, Extended Operations, and Extended Fuzzy Sets
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A. Extension PrincipleB. Extended Real Operations; C. Extended Fuzzy Sets; References; Chapter 3. Fuzzy Relations; A. n-Ary Fuzzy Relations; B. Binary Fuzzy Relations; C. Similarity Relations and Related Topics; D. Fuzzy Orderings; E. Equations of Fuzzy Relations; F. Generalized Fuzzy Relations; References; Chapter 4. Fuzzy Functions; A. Various Kinds of Fuzzy Functions; B. Fuzzy Extremum; C. Integration of Fuzzy Functions over (Non)Fuzzy Intervals; D. Differentiation; E. Fuzzy Topology; F. Categories of Fuzzy Sets; References; Chapter 5. Fuzzy Measures, Probabilities/Possibilities
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A. Fuzzy Measures and Sugeno's IntegralsB. Possibility and Probability; C. Fuzzy Events; D. Fuzzy Distributions; References; Part III: Fuzzy Models and Formal Structures; Chapter 1. Multivalent and Fuzzy Logics; A. Fuzzy Switching Logic; B. Multivalent Logics; C. Fuzzy Modal Logic; D. Fuzzy-Valued Logics; E. Approximate Reasoning; References; Chapter 2. Dynamic Fuzzy Systems; A. Complexity and Fuzziness in System Theory; B. Discrete-Time Fuzzy Systems; C. Fuzzy Automata; D. Deterministic Systems in a Fuzzy Environment; E. Linear Fuzzy Systems; F. Other Topics Related to Fuzziness and Systems
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ReferencesChapter 3. Fuzzy Languages-Fuzzy Algorithms; A. Fuzzy Languages and Fuzzy Grammars; B. Fuzzy Algorithms; References; Chapter 4. Fuzzy Models tor Operations Research; A. Optimization in a Fuzzy Environment; B. Fuzzy Graphs; References; Part IV: Systems-Oriented Fuzzy Topics; Chapter 1. Where Do ""They"" Come From?; A. Informal Preliminary Discussion; B. Practical Estimation of Membership Functions; C. Identification of Fuzzy Set Operators; D. Tolerance Analysis Using Fuzzy Sets; References; Chapter 2. From Programming Languages to Natural Languages; A. Fuzzy Programming Languages
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B. Modeling Natural LanguagesC. Deductive Verbal Dynamic Systems; References; Chapter 3. Fuzzy Sets in Decision-Making; A. Fuzzy Rank-Ordering; B. Multicriteria Decision-Making; C. Aggregation of Opinions in a Social Group. Consensus; D. Decision-Making under Randomness and Fuzziness; References; Chapter 4. Fuzzy Control; A. Fuzzy Optimal Control; B. Synthesis of Linguistic Controllers; References; Chapter 5. Fuzzy Sets in Learning Systems; A. Learning with Automata or Fuzzy Conditional Measures; B. Self-Improvement of Fuzzy Linguistic Controllers; References
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Chapter 6. Pattern Classification with Fuzzy Sets
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English
Weitere Ausg.:
ISBN 0-12-222750-6
Sprache:
Englisch
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