A fuzzy relational equation in dynamic fuzzy systems
For a dynamic fuzzy system, the fundamental method is to analyze its recursive relation of the fuzzy states. It is similar in that the Bellman equation is an important tool in the dynamic programming. Here we will consider the existence and the uniqueness of solution of a fuzzy relational equation. Two examples, which satisfies our conditions, are given to illustrate the results. (C) 1999 Elsevier Science B.V. All rights reserved.
fuzzy relational equation dynamic fuzzy system bellman equation