A CATEGORY OF L-FUZZY CONVERGENCE SPACES

Gunther Jäger

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Approximation Theory and Sequence Spaces

Abstract

In this paper we take convergence of stratified L-filters as primitive notion and construct in this way a cartesian closed category, which contains the category of stratified L-topological spaces as reflective subcategory. The class of spaces with non-idempotent stratified fuzzy interior operator is characterized as subclass of the class of our stratified L-fuzzy convergence spaces and a first characterization, which fuzzy convergences stem from stratified L-topologies is established.

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1979Convergence in fuzzy topological spaces 1982Fuzzy neighborhood spaces

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2012On stratified L-convergence spaces: Pretopological axioms and diagonal axioms 2019Convergence structures in M -fuzzifying convex spaces 2013On (L,M) -fuzzy convergence spaces

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