Fuzzy Decision Procedures with Binary Relations Towards A Unified Theory
In decision theory there are basically two appr~hes to the modeling of individual choice: one is based on an absolute representation of preferences leading to a ntDnerical expression of preference intensity. This is utility theory. Another approach is based on binary relations that encode pairwise p...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1993, 1993
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| Edition: | 1st ed. 1993 |
| Series: | Theory and Decision Library D:, System Theory, Knowledge Engineering and Problem Solving
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 11. Contenstveness Of Fuzzy Decision Procedures In Restricted Environment
- 12. Efficiency Of Fuzzy Decision Procedures
- 13. Decision-Making With Special Classes Of Fuzzy Binary Relations
- 13.1. Fuzzy Preorderings
- 13.2. Reciprocal Relations
- 14. Applications To Crisp Choice Rules
- 14.1. Adjusting Crisp Choice
- 14.2. Producing New Choice Rules (Fnmzs And Dipole Decomposition)
- 15. Applications To Decision Support Systems And To Multipurpose Decision-Making
- 15.1. General Applications To Decision Support Systems
- 15.2. Applications To Multipurpose Decision-Making
- 15.3. Expert Assistant Ficckas (In Collaboration With S.Orlovski)
- Literature
- 6.7. Comparative Study Of Fuzzy Inclusions
- 7. Contensiveness Of Fuzzy Dichotomous Decision Procedures In Universal Environment
- 8. Choice With Fuzzy Relations
- 8.1. Basic Technique. Elements Of Multifold Fuzzy Choice
- 8.2. α-Cuts, And Multifold Fuzzy Choice With Basic Dichotomies
- 8.3. The Core Is Unfit
- 8.4. Fuzzy Von Neumann — Morgenstern Solution. Fuzzy Stable Core
- 8.5. Procedures Based On The Dual Composition Law
- 9. Ranking And C-Spectral Properties Of Fuzzy Relations (Fuzzy Von Neumann — Morgenstern — Zadeh Solutions)
- 9.1. Basic Characteristics. Ͱ-Mapping
- 9.2. Bounds Of Multifold Fuzzy Choice
- 9.3. Connected Spectrum, And Spectral Properties Of A Fuzzy Relation
- 9.4. Classification Of Multifold Fuzzy Choices
- 9.5. Fuzzy L.Zadeh' Stable Core
- 9.6. Incontensive Procedures BasedOn L.Zadeh' Inclusion
- 10. Invariant, Antiinvariant And Eigen Fuzzy Subsets. Mainsprings Of Cut Technique In Fuzzy Relational Systems
- 1. Introduction
- 2. Common Notations
- 3. Systematization Of Choice Rules With Binary Relations
- 3.1. Rationality Concept. Multifold Choice
- 3.2. Basic Diohdtomies: Invariant Description
- 3.3. Composition Laws
- 3.4. Synthesis Of Rationality (X)Ncepts
- 4. Fuzzy Decision Procedures
- 4.1. Fuzzy Rationality Concept
- 4.2. Multifold Fuzzy Choice
- 4.3. Families Of Fuzzy Dichotomous Decision Procedures
- 5. Contensiveness Criteria
- 5.1. Motivations And Postulates For Multifold Fuzzy Choice
- 5.2. Dichotomousness And δ-Contensiveness Of Multifold Fuzzy Choice, Procedures, And Relations
- 5.3. Ranking Alternatives Using Multifold Fuzzy Choice
- 6. Fuzzy Inclusions
- 6.1. Motivations, Fuzzy Inclusion And Fuzzy Implication
- 6.2. Axiomatics
- 6.3. Representation Theorem
- 6.4. Properties Of Fuzzy Inclusions
- 6.5. Binary Operations With Fuzzy Inclusions
- 6.6. Characteristic Fuzzy Inclusions (Polynomial And Piecewise-Polynomial Models)