Similarity Measures and Multi-person TOPSIS Method Using m-polar Single-Valued Neutrosophic Sets

Authors

Juanyong Wu^{1, 2}, Ahmed Mostafa Khalil^3, , Nasruddin Hassan^4, , Florentin Smarandache^5, , A. A. Azzam^{6, 7, *}, Hui Yang¹

¹School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China

²School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, China

³Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt

⁴School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600, Malaysia

⁵Department of Mathematics, University of New Mexico, Gallup, NM, 87301, USA

⁶Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj, 11942, Saudi Arabia

⁷Department of Mathematics, Faculty of Science, New Valley University, Elkharga, 72511, Egypt

^*Corresponding author. Email: nas@ukm.edu.my; azzam0911@yahoo.com

DOI

10.2991/ijcis.d.210203.003How to use a DOI?

Keywords

m-polar single-valued neutrosophic set; Distance measure; Ssimilarity measure; Pattern recognition; Multi-person TOPSIS technique

Abstract

In this paper, we give a new notion of the m-polar single-valued neutrosophic sets (m-PSVNSs) which is a hybrid of the single-valued neutrosophic sets (SVNSs) and the m-polar fuzzy sets (m-PFSs) and study several of the structure operations including subset, equal, union, intersection, and complement. Subsequently, we present the basic definitions, theorems, and examples on m-PSVNSs. Also, we define the certain distance between two m-PSVNSs and a novel similarity measure for m-PSVNSs based on distances. A multi criteria decision-making (MCDM) problem is animated for m-PSVNS data that takes into account the distances for the best alternative (solution) by an application of similarity measure for m-PSVNSs in brand recognition. Finally, we construct a new methodology to extend the TOPSIS to m-PSVNS and illustrate its applicability via a numerical example.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Juanyong Wu
AU  - Ahmed Mostafa Khalil
AU  - Nasruddin Hassan
AU  - Florentin Smarandache
AU  - A. A. Azzam
AU  - Hui Yang
PY  - 2021
DA  - 2021/02/19
TI  - Similarity Measures and Multi-person TOPSIS Method Using m-polar Single-Valued Neutrosophic Sets
JO  - International Journal of Computational Intelligence Systems
SP  - 869
EP  - 885
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.210203.003
DO  - 10.2991/ijcis.d.210203.003
ID  - Wu2021
ER  -