A novel class of bipolar soft separation axioms concerning crisp points

• Autorzy: Baravan A. Asaad , Sagvan Y. Musa

Identyfikatory

DOI

10.1515/dema-2022-0189

• Języki publikacji: EN

Abstrakty

EN

The main objective of this study is to define a new class of bipolar soft (BS) separation axioms known as BS͠͠ Ti -space (i = 0, 1, 2, 3, 4). This type is defined in terms of ordinary points. We prove that BS͠͠ Ti -space implies BS͠͠ Ti-1-space for i = 1, 2; however, the opposite is incorrect, as demonstrated by an example. For i = 0, 1, 2, 3, 4, we investigate that every BS͠͠ Ti -space is soft͠ Ti -space; and we set up a conditio in which the reverse is true. Moreover, we point out that a BS subspace of a BS͠͠ Ti -space is a BS͠͠ Ti -space for i = 0, 1, 2, 3.

Słowa kluczowe

EN

bipolar soft separation axioms; bipolar soft topology; soft topology; bipolar soft sets; soft sets

PL

aksjomaty oddzielania; topologia; zbiór rozmyty

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220189
• Opis fizyczny: Bibliogr. 43 poz.

Twórcy

autor

Baravan A. Asaad

• Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq; Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq

autor

Sagvan Y. Musa

• Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq

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