Title :
Duality in linear programming with fuzzy parameters and two-person zero-sum constrained matrix games with fuzzy payoffs
Author :
Gao, Zuofeng ; Han, Chunyan ; Zhang, Hua ; Zhang, Suting ; Bai, Hongxin ; Yu, Yongbo
Author_Institution :
Dept. of Sci., Yanshan Univ., Qinhuangdao
Abstract :
A dual for linear programming problems of a two person zero sum constrained matrix game with fuzzy payoffs is introduced and it is proved that such a game is equivalent to a primal-dual pair of certain fuzzy linear programming problems. Itpsilas solution is the focus of discussion in the future.
Keywords :
fuzzy set theory; game theory; linear programming; matrix algebra; fuzzy linear programming problems; fuzzy payoffs; linear programming duality; two-person zero-sum constrained matrix games; Linear programming; Fuzzy Constrained Matrix Game; Fuzzy Linear Programming Problem; Fuzzy Payoff;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4597503