A limit theorem in dynamic fuzzy systems with transitive fuzzy relations
β Scribed by Yuji Yoshida
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 195 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
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 is given to illustrate our idea.
π SIMILAR VOLUMES
We provide an abstract representation theorem for an arbitrary min-transitive fuzzy relation R(x; y) on a set X in terms of a speciΓΏc min-transitive relation on the interval [0, 1]. The technique used here gives us a fuzzy lattice structure on F(X ) = the set of all fuzzy subsets of X . The underlyi
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.