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      A neutrosophic approach to the transportation problem using single-valued trapezoidal neutrosophic numbers

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          Abstract

          Abstract In general, a fuzzy set can’t handle situations of inconsistencies and inexact data, however, the Neutrosophic Set (NS) has been used to address such types of issues in all real world problems. The neutrosophic set is an extension of the fuzzy set and the intuitionistic fuzzy set, that can deal with imperfect, inconsistent, and indeterminate data in all the related problems. This article proposed a conventional neutrosophic approach using a ranking function for the transportation problem. This approach has considered a single-valued neutrosophic set for the entire transportation problem with the numerical illustration. Single valued trapezoidal neutrosophic numbers are well-known and used in solving the transportation problem and its extension. Besides, a novel ranking function is proposed with the help of membership functions, which gives the best optimal solution. Moreover, the obtained optimal solution has been compared with recent new approaches. This research will help to get the best optimal solution for the transportation problem under uncertainty.

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          Most cited references25

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          Intuitionistic Fuzzy Sets

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            TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment

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              A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems

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                Author and article information

                Journal
                proy
                Proyecciones (Antofagasta)
                Proyecciones (Antofagasta)
                Universidad Católica del Norte, Departamento de Matemáticas (Antofagasta, , Chile )
                0716-0917
                April 2023
                : 42
                : 2
                : 533-547
                Affiliations
                [1] Tamil Nadu orgnameVellore Institute of Technology orgdiv1School of Advanced Sciences orgdiv2Department of Mathematics India kalaivanikaspar92@ 123456gmail.com
                [2] Tamil Nadu orgnameVellore Institute of Technology orgdiv1School of Advanced Sciences orgdiv2Department of Mathematics India drkpalanivel@ 123456gmail.com
                Article
                S0716-09172023000200533 S0716-0917(23)04200200533
                10.22199/issn.0717-6279-5374
                de50b333-1eb2-4c8e-b06d-a122ae14216f

                This work is licensed under a Creative Commons Attribution 4.0 International License.

                History
                : 01 January 2023
                : 01 March 2022
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 25, Pages: 15
                Product

                SciELO Chile


                neutrosophic transportation problem,ranking function,single-valued neutrosophic set,fuzzy set

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