Characterization of convergence in fuzzy topological spaces

E. Lowen and R. Lowen

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-15

Abstract:

In a fuzzy topology on a set X , the limit of a prefilter (i.e. a filter in the lattice [ 0 , 1 ] 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 “ lim ” which to any prefilter 𠔇 on X assigns, a function lim 𠔇 ∈ [ 0 , 1 ] X . We give necessary and sufficient conditions for the function 𠔇 → lim 𠔇 in order that it can be derived from a fuzzy topology.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:645392

DOI: 10.1155/S0161171285000540

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