A neutrosophic application to the transportation problem with mixed constraints using single-valued trapezoidal neutrosophic numbers

Kalaivani Kaspar and Palanivel Kaliyaperumal

International Journal of Mathematics in Operational Research, 2024, vol. 28, issue 4, 514-525

Abstract: Fuzzy transportation problems have been developed to address the uncertainty in real-world problems. Neutropsohic set plays a vital role in solving uncertainty which is the extension of fuzzy and the intuitionistic set. The defuzzification approach using a proposed ranking function has been considered to convert the fuzzy and neutrosophic data into crisp data. Moreover, this research is proposed a single-valued neutrosophic transportation problem with mixed constraints. The work aims to deal with the transportation problem in terms of neutrosophic nature to obtain optimal results by using a proposed ranking function. The problem explains mixed constraints by employing a conventional approach through numerical illustrations and the obtained results are compared with other ranking approaches. Lastly, it shows the justification of the results and efficiency of the ranking function which gives the optimal transportation cost. Lastly, MATLAB software has been used to show higher accuracy results for various ranking functions, and the proposed ranking function yields the most efficient optimal solution.

Keywords: transportation problem; TP; neutrosophic set; NS; single-valued trapezoidal neutrosophic number; SVTNN; mixed constraint transportation problem. (search for similar items in EconPapers)
Date: 2024
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