Fuzzy Random Weighted Weber Problems in Facility Location

This article considers facility location in a Weber problem with weights including both uncertainty and vagueness. By representing its weights as fuzzy random variables, it can be extended to a fuzzy random weighted Weber problem, and then formulated as a fuzzy random programming problem. By introdu...

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Bibliographic Details
Published inProcedia computer science Vol. 60; pp. 936 - 943
Main Authors Uno, Takeshi, Kato, Kosuke, Katagiri, Hideki
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2015
Subjects
Fuzzy Random Programming
Location
Possibility and Necessity Measures
Fuzzy Random Programming
Possibility and Necessity Measures
Location
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ISSN1877-0509
1877-0509
DOI10.1016/j.procs.2015.08.257

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Summary:This article considers facility location in a Weber problem with weights including both uncertainty and vagueness. By representing its weights as fuzzy random variables, it can be extended to a fuzzy random weighted Weber problem, and then formulated as a fuzzy random programming problem. By introducing possibility and necessity measures and chance constraints, the extended problem is reformulated to new two types of Weber problems. Based upon characteristics of facility location, theorem for solving the reformulated problems are shown.
ISSN:1877-0509
1877-0509
DOI:10.1016/j.procs.2015.08.257