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A limit theorem in dynamic fuzzy systems with a monotone property

✍ Scribed by Yuji Yoshida; Masami Yasuda; Jun-ichi Nakagami; Masami Kurano


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
447 KB
Volume
94
Category
Article
ISSN
0165-0114

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πŸ“œ SIMILAR VOLUMES


A limit theorem in dynamic fuzzy systems
✍ Yuji Yoshida πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 195 KB

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

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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.