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Intuitionistic smooth Topological Spaces
임평기,김소라,허걸 한국지능시스템학회 2010 한국지능시스템학회논문지 Vol.20 No.6
We introduce the concept of intuitionistic smooth topology in Lowen's sense and we prove that the family IST(X) of all intuitionistic smooth topologies on a set is a meet complete lattice with least element and the greatest element [Proposition 3.6]. Also we introduce the notion of level fuzzy topology on a set X with respect to an intuitionistic smooth topology and we obtain the relation between the intuitionistic smooth topology t and the intuitionistic smooth topology n generated by level fuzzy topologies with respect to t [Theorem 3.10].
Intuitionistic Smooth Topological Spaces
Pyung Ki Lim(임평기),So Ra Kim(김소라),Kul Hur(허걸) 한국지능시스템학회 2010 한국지능시스템학회논문지 Vol.20 No.6
We introduce the concept of intuitionistic smooth topology in Lowen's sense and we prove that the family IST(X) of all intuitionistic smooth topologies on a set is a meet complete lattice with least element and the greatest element[Proposition 3.6]. Also we introduce the notion of level fuzzy topology on a set X with respect to an intuitionistic smooth topology and we obtain the relation between the intuitionistic smooth topology τ and the intuitionistic smooth topology ŋ generated by level fuzzy topologies with respect to τ [Theorem 3.10].