Characterization of Convergence in Fuzzy Topological Spaces

نویسنده

  • E. LOWEN
چکیده

In a fuzzy topology on a set X, the limit of a prefilter (i.e. a filter in the lattice [0,i] X) is calculated from the fuzzy closure. In this way convergence is derived from a fuzzy topology. In our paper we start with any rule "lira" which to any prefilter on X assigns, a function lira E [0,i] X. We give necessary and sufficient conditions for the function lim in order that it can be derived from a fuzzy topology.

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تاریخ انتشار 2004