A limit theorem in dynamic fuzzy systems with transitive fuzzy relations
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. (C) 2000 Elsevier Science B.V. All rights reserved.
limit theorem fuzzy relation sequence of fuzzy states fuzzy relational equation transitive property