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TrNN- EDAS Strategy for MADM with Entropy Weight Under Trapezoidal Neutrosophic Number Environment

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Neutrosophic Operational Research

Abstract

The main purpose of this chapter is to extend the evaluation based on distance from average solution (EDAS) strategy for trapezoidal neutrosophic number environment which we call TrNN-EDAS strategy. EDAS strategy is a very susceptible multi-attribute decision-making strategy. In this chapter, we first time use entropy for calculating weights of the attributes in trapezoidal neutrosophic number environment. To develop this chapter, we briefly describe trapezoidal neutrosophic number, weighted arithmetic, and geometric average operators on trapezoidal neutrosophic numbers, score function, accuracy function, certainty function, and Hamming distance. Then we develop EDAS strategy for multi-attribute decision-making problem in trapezoidal neutrosophic number environment. A numerical example is solved to show the practicality and the utility of proposed strategy. At the end, to demonstrate the effectiveness of the proposed strategy, we present a comparative analysis between the ranking of alternatives obtained from arithmetic averaging operator and geometric averaging operator.

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Authors and Affiliations

  1. Department of Mathematics, Umeschandra College, Kolkata, West Bengal, India

    Rama Mallick

  2. Department of Mathematics, Nandalal Ghosh B.T. College, Kolkata, West Bengal, India

    Surapati Pramanik

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  1. Rama Mallick
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  2. Surapati Pramanik
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  1. Department of Mathematics and Science, University of New Mexico, Gallup, NM, USA

    Florentin Smarandache

  2. Faculty of Computers and Informatics, Zagazig University, Zagazig, Sharqiyah, Egypt

    Mohamed Abdel-Basset

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Mallick, R., Pramanik, S. (2021). TrNN- EDAS Strategy for MADM with Entropy Weight Under Trapezoidal Neutrosophic Number Environment. In: Smarandache, F., Abdel-Basset, M. (eds) Neutrosophic Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-030-57197-9_26

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