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Fuzzy Decision Procedures with Binary Relations Book

Fuzzy Decision Procedures with Binary Relations
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  • Fuzzy Decision Procedures with Binary Relations
  • Written by author Leonid Kitainik
  • Published by Springer-Verlag New York, LLC, August 1993
  • This book presents new ideas in the synthesis, analysis, and quality estimating of choice and ranking rules with crisp and valued preference relations of arbitrary type (non-transitive, non-antisymmetric, etc.). A regular structure of rationality concepts
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Book Categories

Authors

Foreword
Preface
Acknowledgments
Ch. 1Introduction1
Ch. 2Common Notations7
Ch. 3Systematization of Choice Rules with Binary Relations11
Ch. 4Fuzzy Decision Procedures31
Ch. 5Contensiveness Criteria37
Ch. 6Fuzzy Inclusions47
Ch. 7Contensiveness of Fuzzy Dichotomous Decision Procedures in Universal Environment103
Ch. 8Choice with Fuzzy Relations109
Ch. 9Ranking and C-Spectral Properties of Fuzzy Relations (Fuzzy von Neumann - Morgenstern - Zadeh Solutions)137
Ch. 10Invariant, Antiinvariant and Eigen Fuzzy Subsets. Mainsprings of Cut Technique in Fuzzy Relational Systems165
Ch. 11Contensiveness of Fuzzy Decision Procedures in Restricted Environment183
Ch. 12Efficiency of Fuzzy Decision Procedures199
Ch. 13Decision-Making with Special Classes of Fuzzy Binary Relations207
Ch. 14Applications to Crisp Choice Rules217
Ch. 15Applications to Decision Support Systems and to Multipurpose Decision-Making225
Literature240
Index250


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