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Full-Text Articles in Physical Sciences and Mathematics

Categories Of Fuzzy Sets With Values In A Quantale Or Projectale, Lawrence Stout Jan 1995

Categories Of Fuzzy Sets With Values In A Quantale Or Projectale, Lawrence Stout

Lawrence N. Stout

Properties of the lattice L are reflected in the properties of the categories Set(L), Set(L)/(A,α), and the lattice U(A, α). The lattices U(A,α) best reflect the structures on the lattice if the structure is inherited by closed down segments and direct products. Operations at the level of the slice categories require distributivity too. The first object of this paper is to see how the additional structures given by an associative operation & which distributes over sups and hence has a right adjoint (a quantale in the sense of Rosenthal [7]) shows up at the three different levels for fuzzy sets. …


Asymptotic Behavior Of Solutions Of Asymptotically Constant Coefficient System Of Linear Differential Equations, William F. Trench Dec 1994

Asymptotic Behavior Of Solutions Of Asymptotically Constant Coefficient System Of Linear Differential Equations, William F. Trench

William F. Trench

No abstract provided.