Fuzzy Termination Time in Decision-Making in a Fuzzy Environment
We consider the control of a deterministic system in a fuzzy environment when the termination time is a fuzzy set T in the space of control stages T. Such a case may be adequate for some socioeconomic systems. The approach proposed is based on the idea that the grade of membership of particular t in T is regarded as a preference of that termination time (μT(t) = 1—the best one, =0—impossible) and modifies the fuzzy goal μT(r).G. Hence, one must find the best termination time t* and the maximizing decision u p ,..., ut- 1.
For solving the problem a branch-and-bound algorithm is applied.