CATEGORICAL PROPERTIES OF PREORDERED INTUITIONISTIC FUZZY APPROXIMATION SPACES
CATEGORICAL PROPERTIES OF PREORDERED INTUITIONISTIC FUZZY APPROXIMATION SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 36, No. 2
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2023.05135 - 148 (14 pages)
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DOI : 10.14403/jcms.2023.36.2.135
- 3
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.
1. Introduction
2. Preliminaries
3. Relations between Top and PrApp
4. Relations between IFTop and IFPrApp
5. Relations between Top and IFTop
6. Other relations
7. Conclusion
References
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