The discussion of applications of the fuzzy average to matrix game theory

This paper indicates that the fuzzy average has at least a maximum value if it is differentiable. It is also described that the fuzzy average is identical to the average payoff when mixed strategies and game matrix are replaced with the membership functions of fuzzy sets and the consequence matrix r...

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Bibliographic Details
Published in2012 25th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE) pp. 1 - 5
Main Author Lun Shan Gao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.04.2012
Subjects
Algorithm design and analysis
consequence matrix
Finite element methods
Fuzzy sets
Games
L-R fuzzy number
mixed strategy
Nash equilibrium
pivot method
Pragmatics
the fuzzy average
Two-person zero-sum game
weighted matrix
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ISBN1467314315
9781467314312
ISSN0840-7789
DOI10.1109/CCECE.2012.6334977

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Summary:This paper indicates that the fuzzy average has at least a maximum value if it is differentiable. It is also described that the fuzzy average is identical to the average payoff when mixed strategies and game matrix are replaced with the membership functions of fuzzy sets and the consequence matrix respectively. A new algorithm of finding Nash equilibria of two-person zero-sum game is introduced.
ISBN:1467314315
9781467314312
ISSN:0840-7789
DOI:10.1109/CCECE.2012.6334977