Abstract
In [4], Zhao, Peng, and Cheng demonstrated that the fuzzy dynamic integrated judgment (FDIJ) can be decided via a fuzzy relation equation based on an appropriate fuzzy weight set and an adjustable fuzzy (feedback) relation. In general, to find a fuzzy weight set when an adjustable fuzzy relation and a FDIJ are given is much more difficult than finding a FDIJ when an adjustable fuzzy relation and a fuzzy weight set are available. In theory, for a given pair of a FDIJ and an adjustable fuzzy relation, there may not be a feasible fuzzy weight set satisfying the fuzzy relation equation. In many applications, however, it may have to deal with the situation in which an optimal fuzzy weight set is sought to work with an adjustable fuzzy feedback relation in order to induce a desired fuzzy dynamic integrated judgment. A feasible approach of deciding such an optimal fuzzy weight set for the desired fuzzy dynamic integrated judgment is the main objective of this article.