Kniha Triangular Norm-Based Measures and Games with Fuzzy Coalitions D. Butnariu

Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer
Dostupnosť: Skladom u dodávateľa v malom množstve
Odosielame za 13-18 dní
106.10
The concept of a value of a coalitional game, in the spirit of R.J. Aumann and L.S. Shapley, is exte...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1993
Stránok
202
EAN
9780792323693
ISBN
0792323696
Enbook ID
01394112
Vydavateľ
Hmotnosť
1050
Rozmery
155 x 235 x 20

Kompletný popis

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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