Solving a Fully Intuitionistic Fuzzy Transportation Problem Using a Hybrid Multi-Objective Optimization Approach

Sadegh Niroomand, Tofigh Allahviranloo, Ali Mahmoodirad, Alireza Amirteimoori, Leo Mršić and Sovan Samanta ()
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Sadegh Niroomand: Department of Industrial Engineering, Firouzabad Higher Education Center, Shiraz University of Technology, Shiraz 7155713876, Iran
Tofigh Allahviranloo: Research Center of Performance and Productivity Analysis, Istinye University, Istanbul 34010, Turkey
Ali Mahmoodirad: Department of Mathematics, Babol Branch, Islamic Azad University, Babol 3738147471, Iran
Alireza Amirteimoori: Research Center of Performance and Productivity Analysis, Istinye University, Istanbul 34010, Turkey
Leo Mršić: Department of Technical Sciences, Algebra University, Gradiscanska 24, 10000 Zagreb, Croatia
Sovan Samanta: Research Center of Performance and Productivity Analysis, Istinye University, Istanbul 34010, Turkey

Mathematics, 2024, vol. 12, issue 24, 1-16

Abstract: In this study, a typical transportation problem involving intuitionistic fuzzy-type variables and parameters is focused on. The approaches proposed in the literature for such transportation problems have many shortcomings, such as the use of ranking functions and obtaining an infeasible solution with negative values for variables and objective functions in the presence of non-negative unit transportation charges. To overcome such weaknesses, a new approach without a ranking function is introduced in this paper. The proposed approach first constructs an equivalent crisp multi-objective form of the intuitionistic fuzzy transportation problem and then proposes a new hybrid multi-objective solution procedure to tackle the obtained crisp multi-objective problem. The conducted computer experiments with benchmark problems from the existing studies of the literature reflect the effectiveness of the proposed solution approach of this study in terms of the quality of the results when compared to the available approaches of the literature.

Keywords: transportation problem; fuzzy theory; intuitionistic fuzzy sets and numbers; intuitionistic fuzzy transportation problem; multi-objective optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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