Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces
- 10.2991/eusflat.2013.2How to use a DOI?
- Fuzzy topology Categorical fuzzy topology Partially ordered set-valued space Augmented partially ordered set Complete partially ordered set Subset system
As an application of the dual equivalence between the category of L-spatial C-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets and the category of A-sober A-valued spaces. Then, with regard to this duality, for a fixed (Z1,Z2)-complete partially ordered set L, we establish a dual equivalence between the category of L-spatial (Z1,Z2)-complete partially ordered sets and the category of L-sober L-valued Q-spaces.
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Cite this article
TY - CONF AU - Mustafa Demirci PY - 2013/08 DA - 2013/08 TI - Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 9 EP - 16 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.2 DO - 10.2991/eusflat.2013.2 ID - Demirci2013/08 ER -