A limit theorem of sequences of fuzzy states in dynamic fuzzy systems is discussed when fuzzy relations are transitive. This paper analyzes the space of the solutions of a fuzzy relational equation, and the limiting fuzzy state is represented by the fundamental solutions of the equation. An example
A fuzzy relational equation in dynamic fuzzy systems
β Scribed by M. Kurano; M. Yasuda; J. Nakagami; Y. Yoshida
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 270 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
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. @
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