GDL

Journal from gdlhub / 2021-09-02 16:34:14
Oleh : T. M. Al-shami, E. A. Abo-Tabl & B. A. Asaad, Fuzzy Information and Engineering
Dibuat : 2021-09-02, dengan 0 file

Keyword : Soft b-open Set, tt-soft bTi-space (i=0,1,2,3,4), Extended Soft Topology, Soft Hyperconnected Space, Additive Property, Topological Property, Soft b-compact Space, b-fixed Soft Point
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2021.1924528
Sumber pengambilan dokumen : Web

Realizing the importance of separation axioms in classifications of topological spaces and studying certain properties of fixed points, we formulate new soft separation axioms, namely tt-soft bTi(i=0,1,2,3,4) and tt-soft b-regular spaces. Their definitions depend on three factors: soft b-open sets, total belong and total non-belong relations. In fact, they are genuine generalizations of p-soft Ti-spaces in the cases of i = 0, 1, 2. With the help of examples, we study the relationships between them as well as with soft bTi(i=0,1,2,3,4) and soft b-regular spaces. Some interesting properties of them are obtained under the conditions of soft hyperconnected and extended soft topological spaces. Also, we show that they are preserved under finite product soft spaces and soft b⋆-homeomorphism mappings. Finally, we introduce a concept of b-fixed soft points and investigate its main properties.

Deskripsi Alternatif :

Realizing the importance of separation axioms in classifications of topological spaces and studying certain properties of fixed points, we formulate new soft separation axioms, namely tt-soft bTi(i=0,1,2,3,4) and tt-soft b-regular spaces. Their definitions depend on three factors: soft b-open sets, total belong and total non-belong relations. In fact, they are genuine generalizations of p-soft Ti-spaces in the cases of i = 0, 1, 2. With the help of examples, we study the relationships between them as well as with soft bTi(i=0,1,2,3,4) and soft b-regular spaces. Some interesting properties of them are obtained under the conditions of soft hyperconnected and extended soft topological spaces. Also, we show that they are preserved under finite product soft spaces and soft b⋆-homeomorphism mappings. Finally, we introduce a concept of b-fixed soft points and investigate its main properties.

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