International Journal of Fuzzy Logic and Intelligent Systems

  • 제10권4호
  • /
  • Pages.296-302
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  • 2010
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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On Fuzzifying Nearly Compact Spaces

  • Zahran, A.M. (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
  • Sayed, O.R. (Department of Mathematics, Faculty of Science, Assiut University) ;
  • Abd-Allah, M. Azab (Department of Mathematics, Faculty of Science, Assiut University) ;
  • Mousa, A.K. (Department of Mathematics, Faculty of Science, Al-Azhar University)
  • 투고 : 2010.02.04
  • 심사 : 2010.10.21
  • 발행 : 2010.12.25
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초록

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the frame-work of Ying's fuzzifying topological spaces (in ${\L}$ukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under fuzzifying completely continuous functions, fuzzifying almost continuity and fuzzifying R-map.

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참고문헌

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