Mehar approach to solve fuzzy linear fractional minimal cost flow problems

To the best of author’s knowledge, only one approach is proposed in the literature to solve fuzzy linear fractional minimal cost flow problems (minimal cost flow problems in which each known arc cost is represented either by a triangular fuzzy number or a trapezoidal fuzzy number). In this paper, th...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 43; no. 1; pp. 1035 - 1051
Main Authors Bhatia, Tanveen Kaur, Kumar, Amit, Sharma, M.K., Appadoo, S.S.
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 2022
Subjects
Fuzzy systems
Mathematical programming
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Summary:To the best of author’s knowledge, only one approach is proposed in the literature to solve fuzzy linear fractional minimal cost flow problems (minimal cost flow problems in which each known arc cost is represented either by a triangular fuzzy number or a trapezoidal fuzzy number). In this paper, the mathematical incorrect assumptions, considered in the existing approach to solve fuzzy linear fractional minimal cost flow problems, are pointed out. Also, by generalizing an existing approach for solving fuzzy linear fractional programming problems, an approach (named as Mehar approach) is proposed to solve fuzzy linear fractional minimal cost flow problems. Furthermore, two numerical examples are solved to illustrate the proposed Mehar approach.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-212909