Complex Bipolar- Valued  Neutrosophic Soft Set and its  Decision Making Method

Ashraf Al-Quran; Shawkat Alkhazaleh; Lazim Abdullah

Complex Bipolar- Valued Neutrosophic Soft Set and its Decision Making Method

Authors

Ashraf Al-Quran Preparatory Year Deanship, King Faisal University, Hofuf 31982, Al‐Ahsa, Saudi Arabia
Shawkat Alkhazaleh Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan
Lazim Abdullah School of Informatics and Applied Mathematics, University Malaysia Terengganu, Kuala Nerus 21030, Terengganu, Malaysia

Keywords:

neutrosophic set, complex neutrosophic set, neutrosophic soft set, complex neutrosophic soft set, bipolar neutrosophic soft set, decision making

Abstract

We establish the hybrid concept of complex bipolar- valued neutrosophic soft set (CBVNSS)
as a hybrid model of bipolar neutrosophic soft set (BNSS)and complex fuzzy set (CFS). A CBVNSS is
highly suitable for use in real life situations where the decision makers are interested to deal with bi
polarity as well as truth membership, indeterminacy membership and falsity membership grades to the
alternatives in an extended range with complex numbers. Certain operations on CBVNSS like
complement, subset, union and intersection operations are defined. Some related examples are also given
to enhance the understanding of the proposed concept. The basic properties are also verified. We then
provide a decision-making method on the CBVNSS. Finally, a numerical example has been presented to
verify validity and feasibility of the developed method.

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Published

2021-12-01

Issue

Vol. 47 (2021): Neutrosophic Sets and Systems

Section

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

License

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

Creative Commons Attribution (CC BY) license.

How to Cite

Ashraf Al-Quran, Shawkat Alkhazaleh, & Lazim Abdullah. (2021). Complex Bipolar- Valued Neutrosophic Soft Set and its Decision Making Method . Neutrosophic Sets and Systems, 47, 105-116. https://fs.unm.edu/nss8/index.php/111/article/view/4128