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On fuzzy Moscow spaces

G. Thangaraj|A. Vinothkumar
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제3호|pp. 225-242|DOI 10.30948/afmi.2022.23.3.225

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참고문헌

키워드

Fuzzy residual setFuzzy Baire spaceFuzzy extremally disconnected spaceFuzzy hyperconnected spaceFuzzy Gδ-setFuzzy P-spaceFuzzy Fσ-setFuzzy semi-open setFuzzy globally disconnected space

초록

In this paper, the notion of fuzzy Moscow space is introduced and studied. It is established that fuzzy extremally disconnected spaces are fuzzy Moscow spaces and fuzzy Moscow and fuzzy P-spaces are fuzzy extremally disconnected spaces. It is obtained that fuzzy Moscow spaces are not fuzzy hyperconnected spaces and not fuzzy superconnected spaces. A condition under which fuzzy Moscow spaces become fuzzy hyperconnected spaces is obtained. It is also established that fuzzy semi-open sets are fuzzy pre-open sets in fuzzy Moscow and fuzzy P-spaces.

Abstract

In this paper, the notion of fuzzy Moscow space is introduced and studied. It is established that fuzzy extremally disconnected spaces are fuzzy Moscow spaces and fuzzy Moscow and fuzzy P-spaces are fuzzy extremally disconnected spaces. It is obtained that fuzzy Moscow spaces are not fuzzy hyperconnected spaces and not fuzzy superconnected spaces. A condition under which fuzzy Moscow spaces become fuzzy hyperconnected spaces is obtained. It is also established that fuzzy semi-open sets are fuzzy pre-open sets in fuzzy Moscow and fuzzy P-spaces.

참고문헌 (31)

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