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국가지식-학술정보

Fuzzy Syntopogenous Structures and Orders

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We introduce the category [PFSyn] of saturated fuzzy syntopogenous preordered spaces and continuous isotones ans show that the category [PFSyn] is topological and cotopological. Furthermore, to consdier a compatibility between order structures and fuzzy syntopogenous structure, we introduce a category [IPFSyn] of increasing saturated fuzzy syntopogenous spaces and its dual category [IPFSyn] of decreasing fuzzy syntopogenous spaces, and show that [IPFSyn] and [DPFSyn] are both bireflective in the category [PFSyn].

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