DocumentCode :
1623212
Title :
Solution concepts in cooperative fuzzy games
Author :
Tsurumi, M. ; Tanino, T. ; Inuiguchi, M.
Author_Institution :
Dept. of Electron. & Inf. Syst., Osaka Univ., Japan
Volume :
3
fYear :
1999
fDate :
6/21/1905 12:00:00 AM
Firstpage :
22
Abstract :
We deal with some solution concepts in cooperative fuzzy games, games with fuzzy coalition, which admit the representation of players´ participation degree in each coalition. In our previous research, we have introduced a natural class of fuzzy games and a natural definition of the Shapley function. Furthermore, we have given a Shapley function in explicit form on the class. In this paper we introduce core function and dominance core function as functions which map a pair of a fuzzy game and a fuzzy coalition to the corresponding core and dominance core, respectively. It is shown that they coincide if υ is monotone nondecreasing with respect to each player´s participation degree. Balancedness is also defined. We show that the core of a fuzzy game is nonempty if the game is balanced, as in a crisp game. Furthermore, we show that the barycentre of the extreme points of the core coincides with the Shapley value in a convex game in our proposed class. Finally, an illustrative example is given
Keywords :
fuzzy set theory; game theory; Shapley function; balancedness; barycentre; convex game; cooperative fuzzy games; dominance core function; fuzzy coalition; players´ participation degree; solution concepts; Fuzzy sets; Fuzzy systems; Game theory; Information systems; Production;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
ISSN :
1062-922X
Print_ISBN :
0-7803-5731-0
Type :
conf
DOI :
10.1109/ICSMC.1999.823127
Filename :
823127
Link To Document :
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