Displaying similar documents to “Alternative model of fuzzy NTU coalitional game”

Additivities in fuzzy coalition games with side-payments

Milan Mareš (1999)

Kybernetika

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The fuzzy coalition game theory brings a more realistic tools for the mathematical modelling of the negotiation process and its results. In this paper we limit our attention to the fuzzy extension of the simple model of coalition games with side-payments, and in the frame of this model we study one of the elementary concepts of the coalition game theory, namely its “additivities”, i. e., superadditivity, subadditivity and additivity in the strict sense. In the deterministic game theory...

On the possibilities of fuzzification of the solution in fuzzy cooperative games.

Milan Mares (2002)

Mathware and Soft Computing

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Some possibilities of fuzzification of the von Neumann-Morgenstern solution of cooperative games with transferable utility (TU games) are briefly investigated. The fuzzification based on the transformation of individual fuzzy TU game into a fuzzy class of (deterministic) TU games with their own specific solutions is discussed.

Superadditivity in general fuzzy coalition games

Milan Mareš (2000)

Kybernetika

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The superadditivity and related concepts belong to the fundamental ones in the coalition game theory. Their definition in general coalition games (games without side-payments) is based on the set theoretical approaches. It means that in the case of fuzzy coalition games the set theoretical model can be modified into the fuzzy set theoretical one. In this paper, the coalition games without side-payments and with fuzzy expectations of the pay-offs of players are considered and it is shown...

An orthogonality-based classification of conjectures in ortholattices.

Enric Trillas, Ana Pradera (2006)

Mathware and Soft Computing

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A mathematical model for conjectures (including hypotheses, consequences and speculations), was recently introduced, in the context of ortholattices, by Trillas, Cubillo and Castiñeira (Artificial Intelligence 117, 2000, 255-257). The aim of the present paper is to further clarify the structure of this model by studying its relationships with one of the most important ortholattices' relation, the orthogonality relation. The particular case of orthomodular lattices -the framework for...

Two approaches to fuzzification of payments in NTU coalitional game.

Milan Mares (2002)

Mathware and Soft Computing

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There exist several possibilities of fuzzification of a coalitional game. It is quite usual to fuzzify, e. g., the concept of coalition, as it was done in [1]. Another possibility is to fuzzify the expected pay-offs, see [3, 4]. The latter possibility is dealt even here. We suppose that the coalitional and individual pay-offs are expected only vaguely and this uncertainty on the input'' of the game rules is reflected also by an uncertainty of the derived output'' concept like superadditivity,...

Coalitional fuzzy preferences

Milan Mareš (2002)

Kybernetika

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The paper deals with the concept of coalitional preferences in the group decision-making situations in which the agents and coalitions have only vague idea about the comparative acceptability of particular outcomes. The coalitional games with vague utilities (see, e. g., [6]) can serve for a good example when some types of the game solutions (e. g., the von Neumann– Morgenstern one) are to be extended to the fuzzy game case. In this paper, we consider the fuzzy analogies of coalitional...