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New concepts on $R_{0}$ separation axioms in fuzzy soft topological spaces

Ruhul Amin|Raihanul Islam|Sudipto Kumar Shaha
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제25권 제2호|pp. 149-159|DOI 10.30948/afmi.2023.25.2.149

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키워드

Fuzzy setFuzzy soft setSoft setFuzzy soft topological spacesFuzzy soft open setQuasi-coincidenceFuzzy soft $R_{0}$ separations

초록

In this paper, we have introduced and studied some new notions of $R_{0}$ separation axiom in fuzzy soft topological spaces by using quasi-coincident relation for fuzzy soft points. We have observed that all these notions satisfy good extension property. We have shown that these notions are preserved under the one-one, onto and FSP continuous mapping. Finally, we have studied some basic properties of this new concept.

Abstract

In this paper, we have introduced and studied some new notions of $R_{0}$ separation axiom in fuzzy soft topological spaces by using quasi-coincident relation for fuzzy soft points. We have observed that all these notions satisfy good extension property. We have shown that these notions are preserved under the one-one, onto and FSP continuous mapping. Finally, we have studied some basic properties of this new concept.

참고문헌 (24)

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