Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(2): 357-368

Printed June 1, 2012

https://doi.org/10.4134/CKMS.2012.27.2.357

Copyright © The Korean Mathematical Society.

Fuzzy $\delta$-topology and compactness

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

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