Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces

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.

• Type: Journal
• Year: 2013
• Where: EUSFLAT
• Authors: Mustafa Demirci
• Keywords: EUSFLAT 2013, Fuzzy Logic