A Fuzzy Stopping Problem with the Concept

Authors: Masami Kurano¹; Masami Yasuda²; Jun-Ichi Nakagami²; Yuji Yoshida³

Source: Fuzzy Optimization and Decision Making, Volume 3, Number 4, December 2004 , pp. 367-374(8)

Publisher: Springer

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Abstract:

Stimulated by Zadeh's paper (Journal of Statistical Planning and Inference,2002, 105, 233--264), we will try to consider a perceptive analysis of the optimal stopping problem. In this paper, the fuzzy perception value of the expectation of the optimal stopped reward is characterized and calculated by a new recursive equation. Also, a numerical example described by triangular fuzzy numbers is given.

Keywords: fuzzy perceptive stopping problem; fuzzy random variable; fuzzy perception reward; optimal stopping time

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10700-004-4204-2

Affiliations: 1: Department of Mathematics, Faculty of Education, Chiba University, Japan 2: Department of Mathematics and Informatics, Faculty of Science, Chiba University, Japan 3: Faculty of Economics and Business Administration, The University of Kitakyushu, Japan

Publication date: 2004-12-01