RT Journal Article
T1 The equalizer and the lexicographical solutions for cooperative fuzzy games: characterization and properties
A1 Molina Ferragut, Elisenda
A1 Tejada Cazorla, Juan Antonio
AB 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.
PB Elsevier Science Bv
SN 0165-0114
YR 2002
FD 2002-02-01
LK https://hdl.handle.net/20.500.14352/57437
UL https://hdl.handle.net/20.500.14352/57437
LA eng
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DS Docta Complutense
RD 6 may 2024