Fuzzy Decision Procedures with Binary Relations | Towards A Unified Theory

Leonid Kitainik

ISBN 10: 9401048665 / ISBN 13: 9789401048668

Published by Springer, 2012

About this Item

Fuzzy Decision Procedures with Binary Relations | Towards A Unified Theory | Leonid Kitainik | Taschenbuch | XXIII | Englisch | 2012 | Springer | EAN 9789401048668 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

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Bibliographic Details

• Title: Fuzzy Decision Procedures with Binary Relations | Towards A Unified Theory
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9401048665
• ISBN 13: 9789401048668
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 16D millimeters 240 millimeters width by 160 millimeters height by 16 millimeters depth
• Weight: 458 grams
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About this title

Synopsis

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.