• Title/Summary/Keyword: adjoint functors

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CATEGORIES OF NEARNESS FRAMES

  • JYUNG RYUN SEO;CHANG KOO LEE
    • Communications of the Korean Mathematical Society
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    • v.13 no.4
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    • pp.847-854
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    • 1998
  • We investigate categorical properties of the category NFrm of nearness frames and uniform homomorphisms. We introduce a concept of weakly strong nearness frames and study its permanence properties.

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Categorical Aspects of Intuitionistic Fuzzy Topological Spaces

  • Kim, Jin Tae;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.2
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    • pp.137-144
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    • 2015
  • In this paper, we obtain two types of adjoint functors between the category of intuitionistic fuzzy topological spaces in Mondal and Samanta’s sense, and the category of intuitionistic fuzzy topological spaces in Ŝostak’s sense. Also, we reveal that the category of Chang’s fuzzy topological spaces is a bireflective full subcategory of the category of intuitionistic fuzzy topological spaces in Mondal and Samanta’s sense.