Universidad Complutense de Madrid
E-Prints Complutense

The equalizer and the lexicographical solutions for cooperative fuzzy games: characterization and properties

Impacto

Downloads

Downloads per month over past year

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

[img] PDF
Restringido a Repository staff only

177kB

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


URLURL Type
http://www.sciencedirect.comPublisher


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
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
Deposited On:13 Jul 2012 07:38
Last Modified:26 Jul 2018 07:58

Origin of downloads

Repository Staff Only: item control page