Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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CATEGORICAL PROPERTIES OF PREORDERED INTUITIONISTIC FUZZY APPROXIMATION SPACES

  • Sang Min Yun (Department of Mathematics Chungbuk National University) ;
  • Seok Jong Lee (Department of Mathematics Chungbuk National University)
  • Received : 2023.02.02
  • Accepted : 2023.04.24
  • Published : 2023.05.30
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Abstract

We prove that for any preordered intuitionistic fuzzy approximation space, an intuitionistic fuzzy topology can be created, and conversely, for any intuitionistic fuzzy topology, a reflexive intuitionistic fuzzy relation can be constructed. We also show that there is a relationship, called Galois correspondence, between the functors of these categories. Additionally, by applying certain limitations on the category of intuitionistic fuzzy topological spaces, we obtain an isomorphism between these categories.

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References

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