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# đź“™ Fuzzy Decision Procedures with Binary Relations: Towards A Unified Theory by Leonid Kitainik (auth.) â€” epub download

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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.

- Series:
**Theory and Decision Library 13** - Author:
**Leonid Kitainik (auth.)** - Year:
**1993** - Publisher:
**Springer Netherlands** - Language:
**English** - ISBN:
**978-94-010-4866-8,978-94-011-1960-3**

- File size:
**12 533 140** - Format:
**pdf**

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A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrat...

A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrat...

Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations provides an encyclopedic coverage of the literature in the area of ranking and selection procedures, summarizing and surveying in a unified manner a majority of mo...

This monograph is devoted to the identification and measurement theory of costs and benefits in a fuzzy information environment. The process of cost-benefit analysis is presented, requiring the development of real cost-benefit databases and the constructi...

The book focuses on the recent dynamical development in fuzzy decision making. Various kinds of dynamics regarding not only time but also structure of systems are discussed in theory and applications. First, fuzzy dynamic programming is reviewed from a vi...

Joint injection is a particularly beneficial treatment for inflammatory and degenerative conditions in the upper and lower extremities and the spine. The technique is effective for managing pain after other treatments have failed and, though the procedure...

International relations (IR) traditionally theorises the social relationships between different peoples. In so doing, it ignores the ecological bases to life - the ground upon which we walk, the all-encompassing bind of nature. In the current climate of e...

Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are thre...

Dynamic Fuzzy Pattern Recognition with Applications to Finance andEngineering focuses on fuzzy clustering methods which have proven to be very powerful in pattern recognition and considers the entire process of dynamic pattern recognition. This book sets ...

This book has a dual purpose. One of these is to present material which selecÂ tively will be appropriate for a quarter or semester course in time series analysis and which will cover both the finite parameter and spectral approach. The second object is t...