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Triangular Norm-Based Measures and Games with Fuzzy Coalitions

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Triangular Norm-Based Measures and Games with Fuzzy Coalitions by Dan Butnariu
$384.99
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Description

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.
Release date NZ
September 30th, 1993
Country of Publication
Netherlands
Edition
1993 ed.
Illustrations
X, 202 p.
Imprint
Springer
Pages
202
Dimensions
155x235x12
ISBN-13
9780792323693
Product ID
2965102

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