Abstract
In this paper, we deal with two-person zero-sum games with fuzzy goals. We investigated the cases where the membership functions of the players are nonlinear. We examined how the solutions should be if the membership functions of players were exponential functions. In case players' membership functions are exponential, we developed a new method for the maximin solution according to a degree of attainment of the fuzzy goals. An application was made to show the effectiveness of the method.
Keywords
Mathematics
Minimax
Fuzzy logic
Nonlinear system
Exponential function
Membership function
Degree (music)
Zero (linguistics)
Mathematical optimization
Applied mathematics
Fuzzy set
Mathematical analysis
Artificial intelligence
Computer science
Subject Areas
Fuzzy Systems and Optimization
·Statistics and Probability ·Physical Sciences
Optimization and Mathematical Programming
·Control and Systems Engineering ·Physical Sciences
Multi-Criteria Decision Making
·Management Science and Operations Research ·Social Sciences
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