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A study on the Cartesian closed category PosM
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PosM is a category whose objects are ample spaces and morphisms are possibility mappings. We study some properties of the Category PosM . So we show that Category PosM is a cartesian closed category, and it forms a topos with some condition.
Abstract
PosM is a category whose objects are ample spaces and morphisms are possibility mappings. We study some properties of the Category PosM . So we show that Category PosM is a cartesian closed category, and it forms a topos with some condition.
참고문헌 (5)
- R. Goldblatt, "Topoi" (1984), North-Holland
- H.J. Janssen, "Ample fields as a basis for possibilistic processes", Fuzzy Sets and System, 120, pp.445~458 (2001)
- P.T. Johnstone, "Topos Theory" (1977), Academic Press
- X.H. Yuan, "The set-valued mapping based on ample fields", Computer and Mathematics with Applications, 56, pp.1954~1965 (2008)
- P.Z. Wang, "Fuzzy contactibility and fuzzy variables", Fuzzy Sets and System, 8, pp.81~92 (1982)
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