Fuzzy Decision Procedures with Binary Relations: Towards a Unified Theory Leonid Kitainik

ISBN: 9780792323679

Published: August 31st 1993

Hardcover

255 pages


Description

Fuzzy Decision Procedures with Binary Relations: Towards a Unified Theory  by  Leonid Kitainik

Fuzzy Decision Procedures with Binary Relations: Towards a Unified Theory by Leonid Kitainik
August 31st 1993 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 255 pages | ISBN: 9780792323679 | 9.63 Mb

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 underlying conventional and modern choice rules is discovered, giving rise to a notion of a fuzzy decision procedure.

Quality estimates for decision procedures (contensiveness and efficiency criteria) differ from the paradigm of choice theory- they are derived from the conjectures on continuous preferences, and of acceptability of multifold choice. This method results in an extended choice logic, with uncertainty being organically absorbed by decision rules. Paradoxically, in this softer logic, the list of well-defined decision rules is considerably reduced, and revision of acknowledged rules is motivated.

Applications to decision support systems and multicriteria decision-making are discussed and explained. Two relatively independent topics of the book are the axiomatic study of fuzzy implications and inclusions, and the general technique for fuzzy relational systems. The book is addressed to researchers, professionals and students working in fuzzy set theory, decision-making, management science.



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