Titlebook: Applications of Category Theory to Fuzzy Subsets; Stephen Ernest Rodabaugh,Erich Peter Klement,Ulric Book 1992 Kluwer Academic Publishers

盲信者

Forehead-Lift

Pointless Metric Spaces and Fuzzy SpacesRecall some definitions and results given in [Gerla 1989]. A.briefly.is any structure. Where (R,≤)is a partial order and . are functions such that for every., .,.∈.

Obscure

Lattice Morphisms, Sobriety, and Urysohn LemmasC. H. Dowker and Dona Papert established a relationship between continuous functions and frame maps in their 1967 paper on Urysohn’s Lemma. This can be improved upon and extended to the fuzzy situation. The role of sobriety is emphasized.

不公开

The Logic of Unbalanced Subobjects in a Category with Two Closed Structuresose to that used in fuzzy set theory. This chapter develops a first order type theory with appropriate axioms and inference rules which can be interpreted in such categories. The theory is shown to be sound for . and the category of tolerance spaces. Unbalanced powerobject representation gives a higher order type theory for ..

后退

剧毒

A Topological Universe Extension of cal spaces or looks for subcategories with an even richer structure, such as the category of fuzzy neighborhood spaces or the category of fuzzy uniformizable spaces [R. Lowen 1981a, R. Lowen 1982] where convergence can easily be described.

Guaff豪情痛饮

Fuzzy Unit Interval and Fuzzy Pathstinuous mapping from the L-fuzzy unit interval to an L-fuzzy topological space. To obtain this result we describe the product of paths as the universal arrow of a pushout. On the other hand we show (using a Boolean valued model) how to obtain a reasonable definition of the product of fuzzy paths.

栏杆

Jens Uwe Pätzmann,Robert Genrich89], [Menger 1966], [Poincaré 1902, 1904]). In this chapter we use . as a base category for two different algebraic theories. The first one means the addition of a restriction map on objects of . and leads to the category ., while the second one is a generalization of the sheafification and generate

finite

panorama