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Volume 12
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Article

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

by
Sadegh Niroomand
1,
Tofigh Allahviranloo
2,3,
Ali Mahmoodirad
4,
Alireza Amirteimoori
2,
Leo Mršić
5,6 and
Sovan Samanta
2,5,7,*
1
Department of Industrial Engineering, Firouzabad Higher Education Center, Shiraz University of Technology, Shiraz 7155713876, Iran
2
Research Center of Performance and Productivity Analysis, Istinye University, Istanbul 34010, Turkey
3
Quantum Technologies Research Center (QTRC), Science and Research Branch, Islamic Azad University, Tehran 1477893780, Iran
4
Department of Mathematics, Babol Branch, Islamic Azad University, Babol 3738147471, Iran
5
Department of Technical Sciences, Algebra University, Gradiscanska 24, 10000 Zagreb, Croatia
6
Rudolfovo Science and Technology Centre, Podbreznik 15, 8000 Novo Mesto, Slovenia
7
Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk 721636, India
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(24), 3898; https://doi.org/10.3390/math12243898
Submission received: 20 October 2024 / Revised: 2 December 2024 / Accepted: 5 December 2024 / Published: 11 December 2024
(This article belongs to the Special Issue Fuzzy Logic Applications in Traffic and Transportation Engineering)
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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 transportation problem; fuzzy theory; intuitionistic fuzzy sets and numbers; intuitionistic fuzzy transportation problem; multi-objective optimization

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MDPI and ACS Style

Niroomand, S.; Allahviranloo, T.; Mahmoodirad, A.; Amirteimoori, A.; Mršić, L.; Samanta, S. Solving a Fully Intuitionistic Fuzzy Transportation Problem Using a Hybrid Multi-Objective Optimization Approach. Mathematics 2024, 12, 3898. https://doi.org/10.3390/math12243898

AMA Style

Niroomand S, Allahviranloo T, Mahmoodirad A, Amirteimoori A, Mršić L, Samanta S. Solving a Fully Intuitionistic Fuzzy Transportation Problem Using a Hybrid Multi-Objective Optimization Approach. Mathematics. 2024; 12(24):3898. https://doi.org/10.3390/math12243898

Chicago/Turabian Style

Niroomand, Sadegh, Tofigh Allahviranloo, Ali Mahmoodirad, Alireza Amirteimoori, Leo Mršić, and Sovan Samanta. 2024. "Solving a Fully Intuitionistic Fuzzy Transportation Problem Using a Hybrid Multi-Objective Optimization Approach" Mathematics 12, no. 24: 3898. https://doi.org/10.3390/math12243898

APA Style

Niroomand, S., Allahviranloo, T., Mahmoodirad, A., Amirteimoori, A., Mršić, L., & Samanta, S. (2024). Solving a Fully Intuitionistic Fuzzy Transportation Problem Using a Hybrid Multi-Objective Optimization Approach. Mathematics, 12(24), 3898. https://doi.org/10.3390/math12243898

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