Fuzzy Decision Procedures with Binary Relations: Towards A Unified Theory (Theory and Decision Library D:, 13)

Leonid Kitainik

ISBN 10: 079232367X / ISBN 13: 9780792323679

Editore: Springer, 1993

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Ancien livre de bibliothèque. Edition 1993. Tome 13. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Edition 1993. Volume 13. Ammareal gives back up to 15% of this item's net price to charity organizations.

Codice articolo F-322-949

Dati bibliografici

• Titolo: Fuzzy Decision Procedures with Binary Relations: Towards A Unified Theory (Theory and Decision Library D:, 13)
• Editore: Springer
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 079232367X
• ISBN 13: 9780792323679
• Rilegatura: Hardcover
• Condizione: Bon

Descrizione articolo

Riassunto

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 preference. While the former has mainly blossomed in the Anglo-Saxon academic world, the latter is mostly advocated in continental Europe, including Russia. The advantage of the utility theory approach is that it integrates uncertainty about the state of nature, that may affect the consequences of decision. Then, the problems of choice and ranking from the knowledge of preferences become trivial once the utility function is known. In the case of the relational approach, the model does not explicitly accounts for uncertainty, hence it looks less sophisticated. On the other hand it is more descriptive than normative in the first stand because it takes the pairwise preference pattern expressed by the decision-maker as it is and tries to make the best out of it. Especially the preference relation is not supposed to have any property. The main problem with the utility theory approach is the gap between what decision-makers are and can express, and what the theory would like them to be and to be capable of expressing. With the relational approach this gap does not exist, but the main difficulty is now to build up convincing choice rules and ranking rules that may help the decision process.

Contenuti

Foreword by D. Dubois, H. Prade. Preface. 1. Introduction. 2. Common Notations. 3. Systematization of Choice Rules with Binary Relations. 4. Fuzzy Decision Procedures. 5. Contensiveness Criteria. 6. Fuzzy Inclusions. 7. Contensiveness of Fuzzy Dichotomous Decision Procedures in Universal Environment. 8. Choice with Fuzzy Relations. 9. Ranking and C-Spectral Properties of Fuzzy Relations (Fuzzy Von Neumann--Morgenstern--Zadeh Solutions). 10. Invariant, Antiinvariant and Eigen Fuzzy Subsets. Mainsprings of Cut Technique in Fuzzy Relational Systems. 11. Contensiveness of Fuzzy Decision Procedures in Restricted Environment. 12. Efficiency of Fuzzy Decision Procedures. 13. Decision-Making with Special Classes of Fuzzy Binary Relations. 14. Applications to Crisp Choice Rules. 15. Applications to Decision Support Systems and to Multipurpose Decision-Making. Literature. Index.