Fuzzy coalitional structures (alternatives).

Milan Mares; Milan Vlach

Mathware and Soft Computing (2006)

  • Volume: 13, Issue: 1, page 59-70
  • ISSN: 1134-5632

Abstract

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The uncertainty of expectations and vagueness of the interests belong to natural components of cooperative situations, in general. Therefore, some kind of formalization of uncertainty and vagueness should be included in realistic models of cooperative behaviour. This paper attempts to contribute to the endeavour of designing a universal model of vagueness in cooperative situations. Namely, some initial auxiliary steps toward the development of such a model are described. We use the concept of fuzzy coalitions suggested in [1], discuss the concepts of superadditivity and convexity; and introduce a concept of the coalitional structure of fuzzy coalitions. The first version of this paper [10] was presented at the Czech-Japan Seminar in Valtice 2003. It was obvious that the roots of BOme open questions can be found in the concept of superadditivity (with consequences on some other related concepts), which deserve more attention. This version of the paper extends the previous one by discussion of alternative approaches to this topic.

How to cite

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Mares, Milan, and Vlach, Milan. "Fuzzy coalitional structures (alternatives).." Mathware and Soft Computing 13.1 (2006): 59-70. <http://eudml.org/doc/40874>.

@article{Mares2006,
abstract = {The uncertainty of expectations and vagueness of the interests belong to natural components of cooperative situations, in general. Therefore, some kind of formalization of uncertainty and vagueness should be included in realistic models of cooperative behaviour. This paper attempts to contribute to the endeavour of designing a universal model of vagueness in cooperative situations. Namely, some initial auxiliary steps toward the development of such a model are described. We use the concept of fuzzy coalitions suggested in [1], discuss the concepts of superadditivity and convexity; and introduce a concept of the coalitional structure of fuzzy coalitions. The first version of this paper [10] was presented at the Czech-Japan Seminar in Valtice 2003. It was obvious that the roots of BOme open questions can be found in the concept of superadditivity (with consequences on some other related concepts), which deserve more attention. This version of the paper extends the previous one by discussion of alternative approaches to this topic.},
author = {Mares, Milan, Vlach, Milan},
journal = {Mathware and Soft Computing},
keywords = {Juegos cooperativos; Juegos con utilidad transferible; Lógica difusa; Juegos con coaliciones},
language = {eng},
number = {1},
pages = {59-70},
title = {Fuzzy coalitional structures (alternatives).},
url = {http://eudml.org/doc/40874},
volume = {13},
year = {2006},
}

TY - JOUR
AU - Mares, Milan
AU - Vlach, Milan
TI - Fuzzy coalitional structures (alternatives).
JO - Mathware and Soft Computing
PY - 2006
VL - 13
IS - 1
SP - 59
EP - 70
AB - The uncertainty of expectations and vagueness of the interests belong to natural components of cooperative situations, in general. Therefore, some kind of formalization of uncertainty and vagueness should be included in realistic models of cooperative behaviour. This paper attempts to contribute to the endeavour of designing a universal model of vagueness in cooperative situations. Namely, some initial auxiliary steps toward the development of such a model are described. We use the concept of fuzzy coalitions suggested in [1], discuss the concepts of superadditivity and convexity; and introduce a concept of the coalitional structure of fuzzy coalitions. The first version of this paper [10] was presented at the Czech-Japan Seminar in Valtice 2003. It was obvious that the roots of BOme open questions can be found in the concept of superadditivity (with consequences on some other related concepts), which deserve more attention. This version of the paper extends the previous one by discussion of alternative approaches to this topic.
LA - eng
KW - Juegos cooperativos; Juegos con utilidad transferible; Lógica difusa; Juegos con coaliciones
UR - http://eudml.org/doc/40874
ER -

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