Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem

Authors

  • Muhammad Saeed 1Department of Mathematics, University of Management and Technology, Lahore, Pakistan. https://orcid.org/0000-0002-3773-9306 Author
  • Imrana Shafique Department of Mathematics, Faculty of Education, Kafkas University, Kars, Turkey. https://orcid.org/0009-0008-0713-8092 Author
  • Hatıra Gunerhan MEU Research Unit, Middle East University, Amman, Jordan. https://orcid.org/0000-0002-7802-477X Author

DOI:

https://doi.org/10.59543/ijmscs.v3i.10625

Keywords:

Fermatean Neutrosophic Soft Set, Uncertainty Modeling, Algebraic Structures, Decision-Making

Abstract

The classical set theory based on crisp sets is not able to deal with uncertainties which
is a common feature of various real-world problems. This problem is solved using modified forms of sets such
as fuzzy sets, Intuitionistic fuzzy sets, neutrosophic sets, soft sets and hypersoft sets and others along with
their hybrids. In this paper, a modified hybrid of soft set named Fermatean Neutrosophic Soft set (FrNSS) is
established. Basic entities of set theory including subsets, null set, universal set along with different operators
are defined. With respect to these operators, the algebraic structures as monoid, semigroup and semiring are
defined. Also, fermatean neutrosophic soft topological space and the cartesian product of fermatean neutrosophic
soft sets and fermatean neutrosophic soft relation are defined to establish an application of this hybrid
structure to decision-making problems.

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Published

2025-01-02

How to Cite

Muhammad Saeed, Imrana Shafique, & Hatıra Gunerhan. (2025). Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem. International Journal of Mathematics, Statistics, and Computer Science, 3, 294-312. https://doi.org/10.59543/ijmscs.v3i.10625

Issue

Vol. 3 (2025)

Section

Articles

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