Fuzzy regular $Oz$-spaces
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In this paper, the notion of fuzzy regular $Oz$-space is introduced by means of fuzzy regular closed sets and fuzzy regular $G_\delta$ sets. It is established that fuzzy regular $Oz$-spaces are fuzzy $Oz$-spaces and fuzzy regular $Oz$ and fuzzy $P$-spaces are fuzzy extremally disconnected spaces and fuzzy Moscow spaces. A condition under which fuzzy regular $Oz$-spaces become weak fuzzy $Oz$-spaces is also established. It is obtained that fuzzy regular $Oz$ and weak fuzzy $P$-spaces become fuzzy pseudo $P$-spaces if fuzzy regular $Oz$ and weak fuzzy $P$-spaces have non-zero fuzzy regular $G_\delta$-sets.
Abstract
In this paper, the notion of fuzzy regular $Oz$-space is introduced by means of fuzzy regular closed sets and fuzzy regular $G_\delta$ sets. It is established that fuzzy regular $Oz$-spaces are fuzzy $Oz$-spaces and fuzzy regular $Oz$ and fuzzy $P$-spaces are fuzzy extremally disconnected spaces and fuzzy Moscow spaces. A condition under which fuzzy regular $Oz$-spaces become weak fuzzy $Oz$-spaces is also established. It is obtained that fuzzy regular $Oz$ and weak fuzzy $P$-spaces become fuzzy pseudo $P$-spaces if fuzzy regular $Oz$ and weak fuzzy $P$-spaces have non-zero fuzzy regular $G_\delta$-sets.
참고문헌 (33)
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