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Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers

Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers

P. Senthil Kumar
Copyright: © 2024 |Pages: 55
ISBN13: 9781668491300|ISBN10: 1668491303|ISBN13 Softcover: 9781668491317|EISBN13: 9781668491324
DOI: 10.4018/978-1-6684-9130-0.ch001
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MLA

Kumar, P. Senthil. "Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers." Operational Research for Renewable Energy and Sustainable Environments, edited by Joshua Thomas, et al., IGI Global, 2024, pp. 1-55. https://doi.org/10.4018/978-1-6684-9130-0.ch001

APA

Kumar, P. S. (2024). Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers. In J. Thomas, G. Weber, R. Aguilar, E. Munapo, & P. Vasant (Eds.), Operational Research for Renewable Energy and Sustainable Environments (pp. 1-55). IGI Global. https://doi.org/10.4018/978-1-6684-9130-0.ch001

Chicago

Kumar, P. Senthil. "Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers." In Operational Research for Renewable Energy and Sustainable Environments, edited by Joshua Thomas, et al., 1-55. Hershey, PA: IGI Global, 2024. https://doi.org/10.4018/978-1-6684-9130-0.ch001

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Abstract

To determine the optimal value and solution for balanced and unbalanced intuitionistic fuzzy transportation problems (UBIFTPs), two different approaches are proposed in this chapter. Additionally, the parameters of the proposed problems are considered to be triangular intuitionistic fuzzy numbers (TIFNs). Two efficient methods, namely method-I (named linear programming method) and method-II (named PSK method), are presented. Both of them are used to solve the proposed problems. The ideas of these two methods are illustrated with the help of simple examples, and their relevant computer programming is presented. From software such as RStudio, LINGO, RGui, and MATLAB, the obtained solutions for the proposed problems are compared and analyzed with the solutions obtained by the proposed methodologies and already existing methodologies. The unique or superior results, discussions, advantages, and disadvantages of the proposed methods are all presented. Finally, the author's future work is mentioned.

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