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On fuzzy strongly semiregular spaces

G. Thangaraj|M. Ponnusamy
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제26권 제3호|pp. 273-290|DOI 10.30948/afmi.2023.26.3.273

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참고문헌

키워드

Fuzzy $G_δ$-setFuzzy $F_σ$-setFuzzy residual setFuzzy Baire spaceFuzzy hyperconnected spaceFuzzy Baire dense setFuzzy globally disconnected spaceFuzzy σ-nowhere dense setFuzzy almost $P$-space

초록

In this paper, the notion of fuzzy strongly semiregular space is introduced and studied. It is established that fuzzy strongly semiregular spaces are fuzzy quasi- regular spaces and fuzzy almost P-spaces. The conditions under which fuzzy strongly semiregular spaces become fuzzy Baire spaces, are also obtained. It is observed that fuzzy strongly semiregular and fuzzy hyperconnected spaces are fuzzy semi-$P-$spaces and fuzzy $\partial$-spaces. It is found that fuzzy globally disconnected and fuzzy quasi-regular spaces are fuzzy strongly semiregular spaces. A condition under which fuzzy $G_{\delta}$-sets become fuzzy Baire dense sets in fuzzy strongly semiregular spaces is also obtained.

Abstract

In this paper, the notion of fuzzy strongly semiregular space is introduced and studied. It is established that fuzzy strongly semiregular spaces are fuzzy quasi- regular spaces and fuzzy almost P-spaces. The conditions under which fuzzy strongly semiregular spaces become fuzzy Baire spaces, are also obtained. It is observed that fuzzy strongly semiregular and fuzzy hyperconnected spaces are fuzzy semi-$P-$spaces and fuzzy $\partial$-spaces. It is found that fuzzy globally disconnected and fuzzy quasi-regular spaces are fuzzy strongly semiregular spaces. A condition under which fuzzy $G_{\delta}$-sets become fuzzy Baire dense sets in fuzzy strongly semiregular spaces is also obtained.

참고문헌 (41)

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