Descripción del título
Triangular Norm-Based Measu...
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
Monografía
monografia Rebiun38964461 https://catalogo.rebiun.org/rebiun/record/Rebiun38964461 m o d cr mnu---uuaaa 130125s1993 ne o 000 0 eng 935014787 936333163 968910550 9789401736022 electronic bk.) 9401736022 electronic bk.) 9789048142965 9048142962 9401736022 10.1007/978-94-017-3602-2 doi AU@ 000051657204 NZ1 15029901 NZ1 15309597 AU@ eng pn AU@ GW5XE OCLCF UA@ COO OCLCQ EBLCP OCLCQ YDX UAB OCLCQ LEAUB OCLCQ OCLCO OCLCQ OCLCO OCLCL OCLCQ OCLCL KJT bicssc KJMD bicssc BUS049000 bisacsh 658.40301 23 https://id.oclc.org/worldcat/ddc/E3FDx4M7FW4YgrvFcxYx4bydj3 Butnariu, Dan Triangular Norm-Based Measures and Games with Fuzzy Coalitions by Dan Butnariu, Erich Peter Klement Dordrecht Springer Netherlands 1993 Dordrecht Dordrecht Springer Netherlands 1 online resource (ix, 201 pages) 1 online resource (ix, 201 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Theory and Decision Library, Series C: Game Theory, Mathematical Programming and Operations Research 0924-6126 10 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 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 Economics Mathematics Operations research Économie politique Mathématiques Recherche opérationnelle economics. applied mathematics. mathematics. Economics. Mathematics. Operations research. Klement, E. P. Erich Peter) https://id.oclc.org/worldcat/entity/E39PBJvt6GtTmf8qctyGgPwcT3 Print version 9789048142965 Theory and decision library. Series C Game theory, mathematical programming, and operations research 10