Optimal Stopping Problems in a Stochastic and Fuzzy System

In a stochastic and fuzzy environment, two kinds of stopping models are discussed and compared. The optimal fuzzy stopping times are given under the assumptions of monotonicity and regularity for stopping rules. Also, we find that fuzzy stopping times are favored in a comparison between fuzzy and cl...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 246; no. 1; pp. 135 - 149
Main Authors Yoshida, Y., Yasuda, M., Nakagami, J., Kurano, M.
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.06.2000
Elsevier
Subjects
Exact sciences and technology
fuzzy stochastic system
fuzzy stopping
Mathematical analysis
Mathematical foundations
Mathematics
Measure and integration
optimal stopping times
Probability and statistics
Probability theory and stochastic processes
Real functions
Sciences and techniques of general use
Stochastic processes
stopping model
fuzzy stochastic system
optimal stopping times
fuzzy stopping
stopping model
Stopping rule
Fuzzy system
Optimal stopping time
Stopping time
Optimal solution
Stopping model
Regularity
Stochastic system
Fuzzy stopping
Fuzzy stochastic system
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Summary:In a stochastic and fuzzy environment, two kinds of stopping models are discussed and compared. The optimal fuzzy stopping times are given under the assumptions of monotonicity and regularity for stopping rules. Also, we find that fuzzy stopping times are favored in a comparison between fuzzy and classical stopping models.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.6771