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

Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Język: Angielski
Oprawa: Miękka
Wydawca: Springer
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 11-15 dni
477.43
The concept of a value of a coalitional game, in the spirit of R.J. Aumann and L.S. Shapley, is exte...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2010
strony
202
EAN
9789048142965
ISBN
9048142962
Enbook ID
01973360
Wydawca
Waga
332
Wymiary
155 x 235 x 12

Pełny opis

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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