Soft b-separation axioms in neutrosophic soft topological structures

다국어 초록 (Multilingual Abstract)

The idea of neutrosophic set was floated by Smarandache by supposing a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. Neutrosophic soft sets bonded by Maji have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition and computer vision. The first aim of this article bounces the idea of neutrosophic soft b-open set, neutrosophic soft b-closed sets and their properties. Also the idea of neutrosophic soft b-neighborhood and neutrosophic soft b-separation axioms in neutrosophic soft topological structures are also reflected here. Later on the important results are discussed related to these newly defined concepts with respect to soft points. The concept of neutrosophic soft b-separation axioms of neutrosophic soft topological spaces is diffused in different results with respect to soft points. Furthermore, properties of neutrosophic soft b-$T^i$-space $(i = 0, 1, 2, 3,4)$ and some linkage between them are discussed.

참고문헌 (Reference)

1 S. Guzide, "The Parameterizations Reduction of Soft Point and its Applications with Soft Matrix" 164 (164): 1-6, 2017

2 N. Cagman, "Soft topology" 62 : 351-358, 2011

3 D. Molodtsov, "Soft set theory-first results" 37 : 19-31, 1999

4 S. Guzide, "Soft Topology Generated by L-Soft Sets" 4 (4): 88-100, 2018

5 A. C. Gunduz, "On the Tietze extension theorem in soft topological spaces" 43 : 105-115, 2017

6 M. Shabir, "On soft topological spaces" 61 : 1786-1799, 2011

7 T. Bera, "On neutrosophic soft function" 12 (12): 101-119, 2016

8 S. Bayramov, "On intuitionistic fuzzy soft topological spaces" 5 : 66-79, 2014

9 P. K. MajI, "Neutrosophic soft set" 5 (5): 157-168, 2013

10 I. Deli, "Neutrosophic soft relations and some properties" 9 (9): 169-182, 2015

11 F. Smarandache, "Neutrosophic set, a generalisation of the intuitionistic fuzzy sets" 24 : 287-297, 2005

12 A. A. Salma, "Neutrosophic set and Neutrosophic topological spaces" 3 : 31-35, 2012

13 K. Atanassov, "Intuitionistic fuzzy sets" 20 : 87-96, 1986

14 T. Bera, "Introduction to neutrosophic soft topological space" 54 : 841-867, 2017

15 L. A. Zadeh, "Fuzzy sets" 8 : 338-353, 1965

16 S. Bayramov, "A new approach to separability and compactness in soft topo- logical spaces" 9 : 82-93, 2018

17 S. Guzide, "A New Construction of Spheres Via Soft Real Numbers and Soft Points" 4 (4): 39-43, 2018

18 S. Guzide, "A Comparative Research on the definition of Soft Point" 163 (163): 1-4, 2017