The time average reward for some dynamic fuzzy systems

The time average reward for some dynamic fuzzy systems

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Article ID: iaor20002929
Country: United Kingdom
Volume: 37
Issue: 11/12
Start Page Number: 77
End Page Number: 86
Publication Date: Jun 1999
Journal: Computers & Mathematics with Applications
Authors: , , ,
Keywords: stochastic processes
Abstract:

In this paper, by using a fuzzy relation, we define a dynamic fuzzy system with a bounded convex fuzzy reward on the positive orthant R+n of an n-dimensional Euclidean space. As a measure of the system's performance, we introduce the time average fuzzy reward, which is characterized by the limiting fuzzy state under the contractive properties of the fuzzy relation. In the one dimensional case, the average fuzzy reward is expressed explicitly by the functional equations concerning the extreme points of its cuts. Also, a numerical example is given to illustrate the theoretical results.

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