An optimal stopping problem in dynamic fuzzy systems with fuzzy rewards.(English)Zbl 0870.60040

Summary: This paper deals with an optimal stopping problem in dynamic fuzzy systems with fuzzy rewards, and shows that the optimal discounted fuzzy reward is characterized by a unique solution of a fuzzy relational equation. We define a fuzzy expectation with a density given by fuzzy goals and we estimate discounted fuzzy rewards by the fuzzy expectation. This paper characterizes the optimal fuzzy expected value and gives an optimal stopping time.

MSC:

 60G40 Stopping times; optimal stopping problems; gambling theory 03E72 Theory of fuzzy sets, etc.
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References:

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