Later we give the neutrosophic soft Ti -space and the relationshipsbetween them are discussed in detail.
📌 3 Key Takeaways
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Objective & Hypothesis:A neutrosophic set, proposed by Smarandache, considers a truth membership function, an indeterminacymembership function, and a falsity membership function.
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Key Findings & Data:Neutrosophic soft sets combined by Maji have been utilizedsuccessfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition, andcomputer vision.
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Conclusion & Impact:Later we give the neutrosophic soft Ti -space and the relationshipsbetween them are discussed in detail.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
A neutrosophic set, proposed by Smarandache, considers a truth membership function, an indeterminacymembership function, and a falsity membership function. Neutrosophic soft sets combined by Maji have been utilizedsuccessfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition, andcomputer vision. In the present paper, some basic notions of neutrosophic soft sets have been redefined and theneutrosophic soft point concept has been introduced. Later we give the neutrosophic soft Ti -space and the relationshipsbetween them are discussed in detail.
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Cite This Article
BAYRAMOV, S., ÖZTÜRK, T. Y., ARAS, Ç. G. (2022). Separation axioms on neutrosophic soft topological spaces. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 498–510. https://ajindex.com/articles/607949
Bayramov S, Gunduz C. On intuitionistic fuzzy soft topological spaces. TWMS J Pure Appl Math 2014; 5: 66-79
Bayramov S, Gunduz C. A new approach to separability and compactness in soft topological spaces. TWMS J Pure Appl Math 2018; 9: 82-93
Bera T, Mahapatra NK. On neutrosophic soft function. Ann Fuzzy Math Inform 2016; 12: 101-119
Bera T, Mahapatra NK. Introduction to neutrosophic soft topological space. Opsearch 2017; 54: 841-867
Cagman N, Karatas S, Enginoglu S. Soft topology. Comput Math Appl 2011; 62: 351-358
Deli I, Broumi S. Neutrosophic soft relations and some properties. Ann Fuzzy Math Inform 2015; 9: 169-182
Gunduz Aras C, Bayramov S. On the Tietze extension theorem in soft topological spaces. Proceedings of the Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan 2017; 43: 105-115
Maji PK. Neutrosophic soft set. Ann Fuzzy Math Inform 2013; 5: 157-168
Molodtsov D. Soft set theory-first results. Comput Math Appl 1999; 37: 19-31
Salma AA, Alblowi SA. Neutrosophic set and neutrosophic topological spaces. IOSR J Math 2012; 3: 31-35
Shabir M, Naz M. On soft topological spaces. Comput Math Appl 2011; 61: 1786-1799
Smarandache F. Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Int J Pure Appl Math 2005; 24: 287-297
Zadeh LA. Fuzzy sets. Inform Control 1965; 8: 338-353.