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http://dx.doi.org/10.5391/IJFIS.2013.13.3.224

Intuitionistic Fuzzy Theta-Compact Spaces  

Eom, Yeon Seok (Department of Mathematics, Chungbuk National University)
Lee, Seok Jong (Department of Mathematics, Chungbuk National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.13, no.3, 2013 , pp. 224-230 More about this Journal
Abstract
In this paper, we introduce certain types of continuous functions and intuitionistic fuzzy ${\theta}$-compactness in intuitionistic fuzzy topological spaces. We show that intuitionistic fuzzy ${\theta}$-compactness is strictly weaker than intuitionistic fuzzy compactness. Furthermore, we show that if a topological space is intuitionistic fuzzy retopologized, then intuitionistic fuzzy compactness in the new intuitionistic fuzzy topology is equivalent to intuitionistic fuzzy ${\theta}$-compactness in the original intuitionistic fuzzy topology. This characterization shows that intuitionistic fuzzy ${\theta}$-compactness can be related to an appropriated notion of intuitionistic fuzzy convergence.
Keywords
Intuitionistic fuzzy topology; Theta-compact;
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Times Cited By KSCI : 6  (Citation Analysis)
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