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Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages

Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages

P. Senthil Kumar
Copyright: © 2021 |Pages: 43
ISBN13: 9781799850779|ISBN10: 1799850773|EISBN13: 9781799850786
DOI: 10.4018/978-1-7998-5077-9.ch015
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MLA

Kumar, P. Senthil. "Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages." Handbook of Research on Applied AI for International Business and Marketing Applications, edited by Bryan Christiansen and Tihana Škrinjarić, IGI Global, 2021, pp. 278-320. https://doi.org/10.4018/978-1-7998-5077-9.ch015

APA

Kumar, P. S. (2021). Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages. In B. Christiansen & T. Škrinjarić (Eds.), Handbook of Research on Applied AI for International Business and Marketing Applications (pp. 278-320). IGI Global. https://doi.org/10.4018/978-1-7998-5077-9.ch015

Chicago

Kumar, P. Senthil. "Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages." In Handbook of Research on Applied AI for International Business and Marketing Applications, edited by Bryan Christiansen and Tihana Škrinjarić, 278-320. Hershey, PA: IGI Global, 2021. https://doi.org/10.4018/978-1-7998-5077-9.ch015

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Abstract

In this chapter, two different methodologies are proposed to find out the optimal solution to the balanced and unbalanced intuitionistic fuzzy transportation problems (UBIFTPs). In addition, the parameter of both the balanced and UBIFTPs are considered to be triangular intuitionistic fuzzy numbers (TIFNs). Two new methodologies, respectively method-1 and method-2, are presented in this chapter. Proposed method-1 is based on linear programming technique, and proposed method-2 is based on modified distribution method. Both the methodologies are used to solve the balanced and UBIFTPs. The ideas of the proposed methodologies are illustrated with the help of real-life numerical examples. The solutions obtained by the proposed methodologies are checked with some software (e.g., MATLAB, LINGO) and the computer code related to the proposed problems is also given. The unique results, comparative study, discussions, and the merits of the proposed methodologies are all given. At the end of the chapter, future work is mentioned.

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