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This paper is concerned with a fuzzy stopping time for a dynamic fuzzy system. A new class of fuzzy stopping times which is called as a monotone fuzzy stopping time is introduced. The notion of monoto...nicity is well-known and important in the stochastic optimization theory. Here we will try to define a monotone property and discuss a stopping problem which is corresponding a dynamic fuzzy system. Since the fuzzy stopping time can be constructed using by $ alpha $-cuts of fuzzy states, the explicit derivation of an optimal one is derived under appropriate assumptions. The key point of our discussion for the optimization of a stopping problem is to induce an additive weighting function for the fuzzy reward.show more
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