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 Fuzzy $\delta$-topology and compactness Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 357-368 https://doi.org/10.4134/CKMS.2012.27.2.357Printed June 1, 2012 Seok Jong Lee and Sang Min Yun Chungbuk National University, Chungbuk National University Abstract : We introduce the concepts of fuzzy $\delta$-interior and show that the set of all fuzzy $\delta$-open sets is also a fuzzy topology, which is called the fuzzy $\delta$-topology. We obtain equivalent forms of fuzzy $\delta$-continuity. Moreover, the notions of fuzzy $\delta$-compactness and fuzzy locally $\delta$-compactness are defined and their basic properties under fuzzy $\delta$-continuous mappings are investigated. Keywords : fuzzy $\delta$-continuity, fuzzy $\delta$-topology, fuzzy $\delta$-compact, fuzzy locally $\delta$-compact MSC numbers : 54A40 Downloads: Full-text PDF

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