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An introduction to single-valued neutrosophic soft topological structure.
- Source :
-
Soft Computing - A Fusion of Foundations, Methodologies & Applications . Aug2022, Vol. 26 Issue 15, p7107-7122. 16p. - Publication Year :
- 2022
-
Abstract
- Fuzzy soft set theory presented by Maji et al. (J Fuzzy Math 9(3):589–602, 2001) and soft set theory presented by Molodtsov (Comput Math Appl 37(3):19–31, 1999) are important ideas in decision-making problems. They can be used to model uncertainty and make decisions under uncertainty. A single-valued neutrosophic soft set (svnf-set) is a hybrid model of a single-valued neutrosophic set and fuzzy soft set that is shown in this paper. The novel concept of single-valued neutrosophic soft topology (svnft) is defined to discuss topological structure of (svnf-set). Some fundamental properties of svnft and their related results are studied. It is good to use the proposed models of svnf-sets and svnft to figure out how to deal with uncertainty in real life. Thus, svnft is a generalization of fuzzy soft topology and fuzzy intuitionistic soft topology. Moreover, after giving the definition of a single-valued neutrosophic soft base svnf-base, we also added the concept of svnft. Finally, we set up the concept of single-valued neutrosophic soft closure spaces and show that the initial single-valued neutrosophic soft closure structures are real, which is what we did. From this fact, the category SVNSC is considered as a topological category over SET. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SOFT sets
*FUZZY topology
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 14327643
- Volume :
- 26
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Soft Computing - A Fusion of Foundations, Methodologies & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 157889511
- Full Text :
- https://doi.org/10.1007/s00500-022-07150-4