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http://dx.doi.org/10.4134/CKMS.2012.27.2.357

FUZZY δ-TOPOLOGY AND COMPACTNESS  

Lee, Seok-Jong (Department of Mathematics Chungbuk National University)
Yun, Sang-Min (Department of Mathematics Chungbuk National University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.2, 2012 , pp. 357-368 More about this Journal
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. More-over, 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;
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Times Cited By KSCI : 2  (Citation Analysis)
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