Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem
Yazarlar (3)
Muhammad Saeed
Imrana Shafique
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale)
Dergi Adı International Journal of Mathematics, Statistics, and Computer Science
Dergi ISSN 2704-1077
Dergi Tarandığı Indeksler Google Scholar
Makale Dili İngilizce Basım Tarihi 01-2025
Cilt / Sayı / Sayfa 3 / 0 / 294–312 DOI 10.59543/ijmscs.v3i.10625
Makale Linki https://doi.org/10.59543/ijmscs.v3i.10625
UAK Araştırma Alanları
Uygulamalı Matematik
Özet
The classical set theory based on crisp sets is not able to deal with uncertainties whichis a common feature of various real-world problems. This problem is solved using modified forms of sets suchas fuzzy sets, Intuitionistic fuzzy sets, neutrosophic sets, soft sets and hypersoft sets and others along withtheir hybrids. In this paper, a modified hybrid of soft set named Fermatean Neutrosophic Soft set (FrNSS) isestablished. Basic entities of set theory including subsets, null set, universal set along with different operatorsare defined. With respect to these operators, the algebraic structures as monoid, semigroup and semiring aredefined. Also, fermatean neutrosophic soft topological space and the cartesian product of fermatean neutrosophicsoft sets and fermatean neutrosophic soft relation are defined to establish an application of this hybridstructure to decision-making problems.
Anahtar Kelimeler
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 14
Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem