On Fuzzy Linear Fractional Programming Problems via α-Cut-Based Method with Application in Transportation Sector

Abhishek Chauhan, Sumati Mahajan, Izhar Ahmad*, Suliman Al-Homidan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The article provides an (Formula presented.) -cut-based method that solves linear fractional programming problems with fuzzy variables and unrestricted parameters. The parameters and variables are considered as asymmetric triangular fuzzy numbers, which is a generalization of the symmetric case. The problem is solved by using (Formula presented.) -cut of fuzzy numbers wherein the (Formula presented.) - and r-cut are applied to the objective function and constraints, respectively. This reduces the problem into an equivalent biobjective model which leads to the upper and lower bounds of the given problem. Afterwards, the membership functions corresponding to various values of (Formula presented.) are obtained using the optimal values of the biobjective model. The proposed method is illustrated by taking an example from the literature to highlight the fallacy of an existing approach. Finally, a fuzzy linear fractional transportation problem is modelled and solved using the aforementioned technique.

Original languageEnglish
Article number419
JournalSymmetry
Volume15
Issue number2
DOIs
StatePublished - Feb 2023

Bibliographical note

Publisher Copyright:
© 2023 by the authors.

Keywords

  • fuzzy numbers
  • linear fractional problem
  • unrestricted parameters
  • α-cut

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • General Mathematics
  • Physics and Astronomy (miscellaneous)

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