International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Filter Convergence and Fuzzy Topology

  • Min, Kyung-Chan (Department of Mathematics, Yonsei University) ;
  • Lee, Yoon-Jin (Department of Applied Mathematics, Hankyong National University) ;
  • Myung, Jae-Deuk (Department of General Studies, Korea Aerospace University)
  • Received : 2010.04.16
  • Accepted : 2010.12.05
  • Published : 2010.12.25
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Abstract

After introducing many different types of prefilter convergence, we introduce an universal method to define various notions of compactness using cluster point and convergence of a prefilter and to prove the Tychonoff theorem using characterizations of ultra(maximal) prefilters.

Keywords

Acknowledgement

Supported by : KoreaResearchFoundation

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