The book deals with the mathematical model of coalitional cooperation based on vague knowledge of its expected outcomes. This reality is described by the model of coalitional game (with or without transferable utility) in which the expected pay-offs are represented by fuzzy quantities or by fuzzy sets of real-valued vectors. This approach to the fuzziness in the bargaining is new and completes the existing literature on this topic by alternative views. The presentation does not demand deeper than elementary knowledge of linear algebra and some related topics. The book can be used as an introduction to the subject presenting basic concepts and results.
By:
Milan Mares Imprint: Physica-Verlag GmbH & Co Country of Publication: Germany Edition: 2001 ed. Volume: 72 Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 12mm
Weight: 1.000kg ISBN:9783790813920 ISBN 10: 3790813923 Series:Studies in Fuzziness and Soft Computing Pages: 177 Publication Date:06 June 2001 Audience:
College/higher education
,
Professional and scholarly
,
Further / Higher Education
,
Undergraduate
Format:Hardback Publisher's Status: Active
1 Introduction.- 2 Fuzzy Quantities.- 3 Deterministic Coalition Games.- 4 Vagueness and Its Processing.- 5 Fuzzy Additivity and Related Topics.- 6 Fuzzy Core and Effective Coalitions.- 7 Fuzzy Convexity.- 8 Fuzzy Balancedness.- 9 Fuzzy Shapley Value.- 10 Fuzzy Superoptimum.- 11 Fuzzy and Imputational Additivity-Like Relations.- 12 Fuzzy Core and Effectivity in Games Without Side-Payments.- 13 Linear Coalition Games.- 14 A Modified Model of Domination and Superoptimum.- 15 Strategic Background of Fuzzy Cooperation.- 16 Generation of Fuzzy Quantities.- V Concluding Remarks.- References.