Triangular Norm-Based Measures and Games with Fuzzy Coalitions
Author:   D. Butnariu ,  Erich Peter Klement
Publisher:   Springer
Edition:   1993 ed.
Volume:   10
ISBN:  

9780792323693


Pages:   202
Publication Date:   30 September 1993
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Triangular Norm-Based Measures and Games with Fuzzy Coalitions


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Overview

The concept of a value of a coalitional game, in the spirit of R.J. Aumann and L.S. Shapley, is extended to the case of games with fuzzy coalitions, providing heuristically meaningful insights into the game theoretical context, which have some impact on balance and equilibria analysis in a co-operative environment. Using the suggestive and philosophical power of the concept of fuzzy sets introduced by L.A. Zadeh, this text aims to develop the mathematical machinery of triangular norm-based measures, i.e. valuations preserving binary operations induced by triangular norms on [0, 1 ]. These results show the existence of Aumann-Shapley values for large classes of games with fuzzy coalitions satisfying certain differentiability conditions, and allow the extension of the domain of such values to games with crisp coalitions, and the application to real life situations such as rate problems for services in bulk.

Full Product Details

Author:   D. Butnariu ,  Erich Peter Klement
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   10
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   1.050kg
ISBN:  

9780792323693


ISBN 10:   0792323696
Pages:   202
Publication Date:   30 September 1993
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

I Triangular Norm—Based Tribes.- II Triangular Norm—Based Measures.- III T?—Measures.- IV Games with Fuzzy Coalitions.- V Extensions of the Diagonal Value.- VI Related Topics and Applications.

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