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P_r-Connectedness in L-smooth Topologicai Spaces

MA Bao-guo

Abstract

A certain new connectedness which is called prconnectedness is introduced by means of L-smooth r-preclosure in L-smooth topological spaces.Furthermore,for every fuzzy set,pr-connected degree and pr-connected component are defined;some properties and equivalent conditions of pr-connectedness are studied.It is proved that pr-connectedness is preserved under L-smooth continuous mapping.

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Key concepts: Social connectedness, Mathematics, Pure mathematics, Topological space, Topology (electrical circuits), Set (abstract data type), Connected component, Combinatorics