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Fuzzy F-spaces
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논문 기본 정보

Type
Academic journal
Author
G. Thangaraj (Department of Mathematics Thirualluvar University India) S. Muruganantham (Department of Mathematics Thirualluvar University India)
Journal
원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제25권 제2호 KCI Accredited Journals
Published
2023.4
Pages
99 - 110 (12page)

Usage

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Fuzzy F-spaces
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Abstract· Keywords

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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.
#Fuzzy $G_{ #delta}$-set #Fuzzy $F_{ #sigma}$-set #Fuzzy dense set #Fuzzy residual set #Fuzzy globally disconnected space #Fuzzy P-space #Fuzzy Oz space #Fuzzy basically disconnected space

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