### Impacto

Molina Ferragut, Elisenda and Tejada Cazorla, Juan Antonio
(2002)
*The equalizer and the lexicographical solutions for cooperative fuzzy games: characterization and properties.*
Fuzzy Sets and Systems, 125
(3).
pp. 369-387.
ISSN 0165-0114

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Official URL: http://www.sciencedirect.com/science/article/pii/S0165011401000239

## Abstract

In this paper we analyze the lexicographical solution for fuzzy TU games, we study its properties and obtain a characterization. The lexicographical solution was introduced by Sakawa and Nishizaki (Fuzzy Sets and Systems 61 (1994) 265-275) as a solution for crisp TU games, and then extended as a value for fuzzy TU games. We approach the problem by means of the close relationship that exists between the lexicographical solution for crisp TU games and the least square nucleolus, a crisp value defined by Ruiz et al. (Internat. J. Game Theory 25 (1996) 113-134). Previously, and also based on this relationship, we axiomatically characterize the equalizer solution for fuzzy TU games. Both values, the equalizer and the lexicographical solutions, are based on the consideration of a measure of dissatisfaction of players rather than coalitions.

Item Type: | Article |
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Uncontrolled Keywords: | Decision making; Fuzzy TU games; Fuzzy coalitions; Coalition excess; Player excess; Lexicographical solution; Least square nucleolus and prenucleolus |

Subjects: | Sciences > Mathematics > Operations research |

ID Code: | 15939 |

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Deposited On: | 13 Jul 2012 07:38 |

Last Modified: | 06 Feb 2014 10:34 |

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