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New concepts on R₁ fuzzy soft topological spaces

Ruhul Amin|Raihanul Islam
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제22권 제2호|pp. 123-132|DOI 10.30948/afmi.2021.22.2.123

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참고문헌

키워드

Fuzzy setFuzzy soft setSoft setFuzzy soft topological spacesQuasi-coincidenceFuzzy soft $R_{1}$ separationsInitial soft topologyFinal soft topology

초록

In this paper, we have introduced and studied some new notions of $R_{1}$ 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. Moreover, we have obtained some other properties of this new concept.

Abstract

In this paper, we have introduced and studied some new notions of $R_{1}$ 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. Moreover, we have obtained some other properties of this new concept.

참고문헌 (24)

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