Abstract

This paper introduces - as far as separation properties are concerned - a new way of studying a fuzzy topological space. We define separation functions which 'measure' the degree to which points in a given space can be separated in a T0-, T1- or T2-like fashion. Both local and global measures are introduced, and their interrelation, their relation with previously defined properties, their behaviour with regard to subspaces and products and their behaviour in the special classes of fuzzy neighborhood spaces and fuzzy uniform spaces are studied.

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