Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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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)
  • 임평기 (원광대학교 수학정보 통계학부) ;
  • 김소라 (원광대학교 대학원 수학과) ;
  • 허걸 (원광대학교 수학정보 통계학부)
  • Received : 2010.10.21
  • Accepted : 2010.11.29
  • Published : 2010.12.25
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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].

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  2. PAIRWISE SEMIOPEN AND SEMICLOSED MAPPINGS IN INTUITIONISTIC SMOOTH BITOPOLOGICAL SPACES vol.29, pp.2, 2016, https://doi.org/10.14403/jcms.2016.29.2.367