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Fuzzy Cooperative Games [electronic resource] : Cooperation with Vague Expectations / by Milan Mares.

By: Contributor(s): Material type: TextTextSeries: Studies in Fuzziness and Soft Computing ; 72Publisher: Heidelberg : Physica-Verlag HD : Imprint: Physica, 2001Edition: 1st ed. 2001Description: XII, 177 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783790818208
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 330.015195
LOC classification:
  • HB139-141
Online resources:
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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.

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