Pentapartitioned Neutrosophic Vague Soft Sets and its

Applications

 

Manal Al-Labadi1, Shuker Khalil2,*, Radhika V. R.3, Mohana K.3

1Department of Mathematics, Faculty of Arts and Sciences, University of Petra, Amman, Jordan

2Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq

3Department of Mathematics, Nirmala College for Women, Coimbatore, India

Emails: manal.allabadi@uop.edu.jo; shuker.khalil@uobasrah.edu.iq; radhikaramakrishnan2805@gmail.com; riyaraju1116@gmail.com

 

 

Abstract

The objective of this paper is to extend the concept of standard soft sets to pentapartitioned neutrosophic vague soft sets (PNVSSs) by applying soft set theory to pentapartitioned neutrosophic vague sets (PNVSs) to make them stronger and more usable. We additionally describe its null, absolute, and fundamental operations, such as complement, subset, equality, union, and intersection, using examples. In addition, we defined the Pentaprtitioned Neutrosophic Vague multiset and the Possibility Pentaprtitioned Neutrosophic Vague sets (PPNVSs).  We also look at several related properties and the proofs for them.  Finally, this concept is applied to a decision-making problem, and its viability is demonstrated using an example. Related properties and the proofs for them.  Finally, this concept is applied to a decision-making problem, and its viability is demonstrated using an example.

Keywords: Neutrosophic sets; Pentapartitioned  sets;  sets;  N soft sets;  sets