Fuzzy F-spaces
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In this paper, the concept of fuzzy F-spaces is introduced and studied. Several characterizations of fuzzy F-spaces are established. It is established that fuzzy F- spaces in which fuzzy $G_{\delta}$-sets are fuzzy open, are fuzzy normal spaces and fuzzy F-spaces in which fuzzy $G_{\delta}$- sets are fuzzy closed, are fuzzy F$'$-spaces. It is established that fuzzy F-spaces are not fuzzy hyperconnected spaces. A condition for fuzzy F$'$-spaces to become fuzzy F-spaces is obtained. The conditions under which fuzzy globally disconnected spaces and fuzzy perfectly disconnected spaces become fuzzy F-spaces are also obtained.
Abstract
In this paper, the concept of fuzzy F-spaces is introduced and studied. Several characterizations of fuzzy F-spaces are established. It is established that fuzzy F- spaces in which fuzzy $G_{\delta}$-sets are fuzzy open, are fuzzy normal spaces and fuzzy F-spaces in which fuzzy $G_{\delta}$- sets are fuzzy closed, are fuzzy F$'$-spaces. It is established that fuzzy F-spaces are not fuzzy hyperconnected spaces. A condition for fuzzy F$'$-spaces to become fuzzy F-spaces is obtained. The conditions under which fuzzy globally disconnected spaces and fuzzy perfectly disconnected spaces become fuzzy F-spaces are also obtained.
참고문헌 (31)
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