Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets

Authors

  • Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq;
  • Yousef Al-Qudah Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan
  • Naif Alotaibi Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia;

Keywords:

neutrosophic set; similarity measure; decision making; possibility neutrosophic soft expert sets

Abstract

A neutrosophic set (NS) is a novel computing technique that accesses uncertain information by using
three memberships. The main goal of this study is to come up with a novel approach called the â€possibility
neutrosophic soft expert set†(PNSE-set), which is based on the idea that each element of the universe of
discourse has a certain level of possibility. Based on this new approach, the set-theoretical operations on PNSEset (i.e complement, subset, equality, union, intersection, DeMorgans laws, AND-product, and OR-product
operations) are introduced, along with illustrative examples and relevant laws. A generalized algorithm is
proposed and applied to decision-making problems. Meanwhile, a similarity measure of two PNSE-sets is
offered, and it’s tested in real-life applications involving medical diagnosis applications. Finally, this work is
supported by a comparative analysis of three recent methods.

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Published

2023-05-01

Issue

Section

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

How to Cite

Faisal Al-Sharqi, Yousef Al-Qudah, & Naif Alotaibi. (2023). Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets. Neutrosophic Sets and Systems, 55, 358-382. https://fs.unm.edu/nss8/index.php/111/article/view/3197