A minimax theorem for zero-sum stopping games in dynamic fuzzy systems

Authors:
Y. Yoshida
Affiliations:
Faculty of Economics and Business Administration Kitakyushu University 4-2-1 Kitagata, Kokuraminami, Kitakyushu 802-8577, Japan
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

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Abstract

This paper deals with a stopping game in dynamic fuzzy systems with fuzzy rewards. We show that the optimal fuzzy reward is a unique solution of a fuzzy relational equation, and we estimate fuzzy rewards, by introducing a fuzzy expectation with a density given by fuzzy goals. We prove a minimax theorem for fuzzy expected values and show the existence of the value of the game.