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Dr. Mohamed Aly Elsayed Fahim :: Publications:

Title:
A novel Approach for Fully Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem
Authors: M.A. El Sayed, & Mahmoud A. Abo-Sinna
Year: 2021
Keywords: Multi-objective optimization; Fractional transportation problem; Intuitionistic fuzzy set; Accuracy function
Journal: Alexandria Engineering Journal
Volume: 60
Issue: 1
Pages: 1447-1463
Publisher: Elsevier
Local/International: International
Paper Link:
Full paper Mohamed Aly Elsayed Fahim_1-s2.0-S1110016820305810-main.pdf
Supplementary materials Not Available
Abstract:

This paper exhibits a novel approach for solving fully intuitionistic fuzzy multi-objective fractional transportation problem (FIF-MOFTP). Because of the change of market policies, we expect that the transportation cost, the shipped quantity, the source, and the destination parameters are not generally exact. In this paper, a theorem which demonstrate that FIF-MOFTP is ever solvable was presented. In our approach, the problem is converted into a linear one based on some transformations. Then the linearized model is reduced to a crisp multi-objective transportation problem utilizing the accuracy function for each objective. Moreover, various theorems that set up the relation among the FIF-MOFTP and its equivalent crisp model using linear, hyperbolic, and parabolic membership functions are also proofed. To approve the proposed approach, a numerical example is incorporated. Deductions and future exploration of this paper are depicted at end.

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