| Article ID: | iaor19931916 |
| Country: | Netherlands |
| Volume: | 51 |
| Issue: | 1 |
| Start Page Number: | 83 |
| End Page Number: | 88 |
| Publication Date: | Oct 1992 |
| Journal: | Fuzzy Sets and Systems |
| Authors: | Yasuda Masami, Yoshida Yuji, Kurano Masami, Nakagami Jun-ichi |
In this paper, using a fuzzy relation the authors define a dynamic fuzzy system with a compact state space. By introducing a contraction property, they study the limit of a sequence of fuzzy states and obtain a theorem for the existence and uniqueness of the solution of a fuzzy relational equation. As an application, the authors deal with a dynamic fuzzy system with a terminal fuzzy gain and give some characterizations for the fuzzy expected gain. A numerical example is given to comprehend their idea in this paper.