Generated I-fuzzy topological spaces

  • Authors:
  • Yue Yueli;Fang Jinming

  • Affiliations:
  • Department of Mathematics, Ocean University of China, Qingdao 266071, People's Republic of China;Department of Mathematics, Ocean University of China, Qingdao 266071, People's Republic of China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

In this paper, we extend Lowen functors @w and @i to I-fuzzy topological spaces (or Kubiak-Sostak fuzzy topological spaces) and study their properties. Then we introduce generated I-fuzzy topological spaces and weakly generated I-fuzzy topological spaces. Finally, we study the connections on a kind of compactness and separation properties between fuzzifying topological space (X,@t) and its corresponding generated I-fuzzy topological space (X,@w(@t)).