Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Name: Triangular Norm-Based Measures and Games with Fuzzy Coalitions
Brand: Springer
SKU: 9780792323693
Price: 580.07 RON
Availability: InStock

Autor: D. Butnariu, E.P Klement

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Legare: Copertă tare

Editura: Springer

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The concept of a value of a coalitional game, in the spirit of R.J. Aumann and L.S. Shapley, is exte...

Informații despre carte

Autor

D. Butnariu, E.P Klement

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1993

Pagini

202

EAN

9780792323693

ISBN

0792323696

Enbook ID

01394112

Editura

Springer

Greutate

1050

Dimensiuni

155 x 235 x 20

Descriere completă

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 new and heuristically meaningful insights into the game theoretical context, which have some significant impact on balance and equilibria analysis in a cooperative environment. Using the suggestive and philosophical power of the concept of fuzzy sets introduced by L.A. Zadeh we develop the mathematical machinery of triangular norm-based measures, i.e. valuations preserving binary operations induced by triangular norms on [0,1]. Our results not only prove the existence of Aumann--Shapley values for large classes of games with fuzzy coalitions satisfying certain differentiability conditions, but also 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.

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Triangular Norm-Based Measures and Games with Fuzzy Coalitions

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