An MCDM Technique Using Cosine and Set-Theoretic Similarity Measures for Neutrosophic hypersoft set

Authors

  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
  • Hamiden Abd El-Wahed Khalifa Department of Mathematics, College of Science and Arts , Al-Badaya, Qassim University
  • Imran Siddique Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt
  • Rana Muhammad Zulqarnain Department of Mathematics, University of Management and Technology Lahore, Sialkot Campus, Pakistan

Keywords:

Neutrosophic set, hypersoft set, neutrosophic hypersoft set, similarity measures

Abstract

A similarity measure is used to tackle many issues that include indistinct and blurred information, excluding is not able to deal with the general fuzziness and obscurity of the problems that have various information. The neutrosophic hypersoft set is the most generalized and advanced extension of neutrosophic sets, which deals with the multi sub-attributes of the considered parameters. In this paper, we study some basic concepts which are helpful to build the structure of
the article, such as soft set, neutrosophic soft set, hypersoft set, and neutrosophic hypersoft set, etc. The main objective of the present research is to develop a cosine similarity measure and set-theoretic similarity measure for an NHSS with their necessary properties. A decision-making approach has been established by using cosine and set-theoretic similarity measures. Furthermore, we used to develop a technique to solve multi-criteria decision-making problems. Finally, the advantages, effectiveness, flexibility, and comparative analysis of the algorithms are given with prevailing methods.

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Published

2022-06-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Iampan, A., El-Wahed Khalifa, H. A. ., Siddique, I. ., & Muhammad Zulqarnain, R. . . (2022). An MCDM Technique Using Cosine and Set-Theoretic Similarity Measures for Neutrosophic hypersoft set. Neutrosophic Sets and Systems, 50, 119-133. https://fs.unm.edu/nss8/index.php/111/article/view/2514