Volume 25 , Issue 2 , PP: 64-83, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Manal Al-Labadi 1 , Shuker Khalil 2 * , Radhika V. R. 3 , Mohana K. 4
Doi: https://doi.org/10.54216/IJNS.250207
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.
Neutrosophic sets , Pentapartitioned neutrosophic sets , Soft sets , Multiset , Neutrosophic soft sets , Vague sets
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