SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES
Year 2023,
Volume: 6 Issue: 2, 227 - 238, 31.07.2023
Naime Demirtaş
,
Orhan Dalkılıç
,
Abdullah Demirtaş
Abstract
Near soft sets are a very successful mathematical model that has been used in order to express the decision-making process for uncertainty in a more ideal way, especially in recent years. The purpose of this paper is to contribute to the theoretical studies on near soft topological spaces. In addition, it presents basic concepts and constructs that will form the basis for a near theoretical set-up of near soft topological spaces. These concepts and structures include sub near soft set, near soft subspaces of a near soft topological space and near soft $T_i$-spaces for $0\leq i\leq 4$. The important aspects of the paper are discussed, especially by examining the definitions and properties given.
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Year 2023,
Volume: 6 Issue: 2, 227 - 238, 31.07.2023
Naime Demirtaş
,
Orhan Dalkılıç
,
Abdullah Demirtaş
References
- L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
- D. Molodtsov, Soft set theory first results, Comput. Math. Appl., 37 (1999) 19-31.
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- A. Özkan, On near soft sets, Turkish Journal of Mathematics, 43 (2019) 1005–1017.
- J.F. Peters, Near sets. Special theory about nearness of objects, Fundementa Informaticae, 75 (2007) 407-433.
- J.F. Peters JF. Near sets. General theory about nearness of objects, Applied Mathematical Sciences, 1 (2007) 2609-2629.
- M.A. Ozturk, E. Inan, Soft nearness approximation spaces, Fund. Inform., 124 (2013) 231–250.
- Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences, 11(5) (1982) 341–356.
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87–96.
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