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http://dx.doi.org/10.5391/JKIIS.2010.20.6.875

Intuitionistic Smooth Topological Spaces  

Lim, Pyung-Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Kim, So-Ra (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.20, no.6, 2010 , pp. 875-883 More about this Journal
Abstract
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 $\tau$ and the intuitionistic smooth topology $\eta$ generated by level fuzzy topologies with respect to $\tau$ [Theorem 3.10].
Keywords
intuitionistic smooth (co)topology; intuitionistic smooth (co)topological space; level fuzzy topology;
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