An approach to stopping problems of a dynamic fuzzy system

Authors:
Masami Kurano;Masami Yasuda;Jun-ichi Nakagami;Yuji Yoshida
Affiliations:
Department of Mathematics, Faculty of Education, Chiba University, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan;Department of Mathematics and Informatics, Faculty of Science, Chiba University, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan;Department of Mathematics and Informatics, Faculty of Science, Chiba University, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan;Faculty of Economics and Business Administration, the University of Kitakyushu, Kokuraminami, Kitakyushu 802-8577, Japan
Venue:
Fuzzy Sets and Systems - Modeling and control
Year:
2002

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Abstract

We formulate a stopping problem for dynamic fuzzy systems concerning with fuzzy decision environment. It could be regarded as a natural fuzzification of non-fuzzy stopping problem with a deterministic dynamic system. The validity of the approach by α-cuts of fuzzy sets will be discussed in constructing One-step Look Ahead policy of an optimal fuzzy stopping time. A numerical example is given to illustrate the theoretical results and to show a merit to use fuzzy stopping times in dynamic fuzzy systems.