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Fuzzy hereditarily extremally disconnected spaces

G. Thangaraj|J. Premkumar
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제24권 제3호|pp. 223-238|DOI 10.30948/afmi.2022.24.3.223

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참고문헌

키워드

Fuzzy perfectly disconnected spaceFuzzy extremally disconnected spaceFuzzy hyperconnected spaceFuzzy dense setFuzzy F'-spaceFuzzy Fσ-setFuzzy semi-open setFuzzy pre-open set

초록

In this paper, a new class of fuzzy topological spaces, namely fuzzy hereditarily extremally disconnected spaces, is introduced and studied. It is obtained that fuzzy perfectly disconnected spaces are fuzzy hereditarily extremally disconnected spaces and fuzzy hereditarily extremally disconnected spaces are not fuzzy hyperconnected spaces. A condition under which fuzzy hereditarily extremally disconnected spaces become fuzzy F'-spaces is obtained.

Abstract

In this paper, a new class of fuzzy topological spaces, namely fuzzy hereditarily extremally disconnected spaces, is introduced and studied. It is obtained that fuzzy perfectly disconnected spaces are fuzzy hereditarily extremally disconnected spaces and fuzzy hereditarily extremally disconnected spaces are not fuzzy hyperconnected spaces. A condition under which fuzzy hereditarily extremally disconnected spaces become fuzzy F'-spaces is obtained.

참고문헌 (28)

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