NDLI: On the solutions of lattice-valued matrix game with fuzziness

Content Provider	IEEE Xplore Digital Library
Author	Yang Xu Jun Liu Jun Ma
Copyright Year	2001
Description	Author affiliation: Dept. of Applied Math., Southwest Jiaotong Univ., Chengdu, China (Yang Xu)
Abstract	Game theory is a very important branch of applied mathematics. There have been a lot of excellent results within eighty years of its history. Many research areas have been developed, but most of them are limited to the real domain. A great amount of non-real practical game problems, especially the lattice-valued game, remains unexplored. The paper focuses on the lattice-valued matrix game. Firstly, we propose the concept of lattice-valued matrix game with pure strategy and discuss the sufficient and necessary conditions for the existence of the solution of the lattice-valued matrix game with pure strategy. Then, considering the real situation that the strategy set of the players are often a fuzzy set and the matrix are often described by fuzzy sets, we investigate the lattice-valued matrix game with fuzziness. In particular, we investigate the solution of a lattice-valued matrix game with pure strategy and fuzzy value matrix, with fuzzy strategy and classical game matrix, as well as with fuzzy strategy and the function value game matrix. It is assumed that L={L, v, /spl and/} is a lattice, "/spl les/" is the partial order in L.
Sponsorship	Int. Fuzzy Syst. Assoc.
Starting Page	2301
Ending Page	2304
File Size	261073
Page Count	4
File Format	PDF
ISBN	0780370783
DOI	10.1109/NAFIPS.2001.944431
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-07-25
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematics Game theory Lattices History Artificial intelligence
Content Type	Text
Resource Type	Article

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