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$alpha$-$b$-regularity in a fuzzy topological space
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논문 기본 정보

Type
Academic journal
Author
Anjana Bhattacharyya (Victoria Institution (College), India)
Journal
원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.27 No.1 KCI Accredited Journals
Published
2024.2
Pages
67 - 80 (14page)
DOI
10.30948/afmi.2024.27.1.67

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$alpha$-$b$-regularity in a fuzzy topological space
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This paper deals with a new type of fuzzy separation axiom, viz., fuzzy $\alpha$-$b$-regular space by introducing fuzzy $\alpha$-$b$-open set as a basic tool. This newly defined class of sets is strictly larger than that of fuzzy open set as well as fuzzy preopen set, fuzzy semiopen set, fuzzy $\alpha$-open set and fuzzy $\beta$-open set. Also, we introduce new type of fuzzy compact space and a strong form of fuzzy $T_{2}$-space. However, three different types of functions are introduced and studied. Also the mutual relationships of these functions are established. Lastly some applications of these functions on the spaces introduced here are established.
#Fuzzy α-$b$-open set #Fuzzy regular open set #Fuzzy α-$b$-$r$-continuous function #Fuzzy α-$b$-continuity #Fuzzy almost α-$b$-continuity #Fuzzy extremally disconnected space

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