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2001•Quaestiones MathematicaeRequires access

A CATEGORY OF L-FUZZY CONVERGENCE SPACES

Gunther Jäger

Open publisher page 133 citations

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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What this paper is about

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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OpenAlex reports 133 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Pure mathematics, Fuzzy logic, Modes of convergence (annotated index), Convergence (economics), Algebra over a field, Discrete mathematics, Topological space

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