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Titlebook: Triangular Norm-Based Measures and Games with Fuzzy Coalitions; Dan Butnariu,Erich Peter Klement Book 1993 Springer Science+Business Media

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书目名称Triangular Norm-Based Measures and Games with Fuzzy Coalitions
编辑Dan Butnariu,Erich Peter Klement
视频video
丛书名称Theory and Decision Library C
图书封面Titlebook: Triangular Norm-Based Measures and Games with Fuzzy Coalitions;  Dan Butnariu,Erich Peter Klement Book 1993 Springer Science+Business Media
描述This book aims to present, in a unified approach, a series of mathematical results con­ cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions. Our approach intends to emphasize that triangular norm-based measures are powerful tools in exploring the coalitional behaviour in ‘such games. They not and simplify some technical aspects of the already classical axiomatic the­ only unify ory of Aumann-Shapley values, but also provide new perspectives and insights into these results. Moreover, this machinery allows us to obtain, in the game theoretical context, new and heuristically meaningful information, which has a significant impact on balancedness and equilibria analysis in a cooperative environment. From a formal point of view, triangular norm-based measures are valuations on subsets of a unit cube [0, 1]X which preserve dual binary operations induced by trian­ gular norms on the unit interval [0, 1]. Triangular norms (and their dual conorms) are algebraic operations on [0,1] which were suggested by MENGER [1942] and which proved to be useful in the theory of probabilistic metric spaces (see also [WALD 1943]). The idea of a triangular norm-based
出版日期Book 1993
关键词environment; fuzzy sets; service; sets
版次1
doihttps://doi.org/10.1007/978-94-017-3602-2
isbn_softcover978-90-481-4296-5
isbn_ebook978-94-017-3602-2Series ISSN 0924-6126 Series E-ISSN 2194-3044
issn_series 0924-6126
copyrightSpringer Science+Business Media Dordrecht 1993
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