International Journal of Fuzzy Logic and Intelligent Systems

  • 제13권3호
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  • Pages.224-230
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  • 2013
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Intuitionistic Fuzzy Theta-Compact Spaces

  • Eom, Yeon Seok (Department of Mathematics, Chungbuk National University) ;
  • Lee, Seok Jong (Department of Mathematics, Chungbuk National University)
  • 투고 : 2013.07.19
  • 심사 : 2013.09.11
  • 발행 : 2013.09.25
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초록

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.

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참고문헌

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