ScholarLens Back to search
2017•Journal of Intelligent & Fuzzy SystemsRequires access

The category of algebraic fuzzy closure L -systems on fuzzy complete lattices

Ning-Hua Gao, Qingguo Li, Xiaokun Huang

Open publisher page 3 citations

Abstract

Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L -systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L -systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L -system spaces.

About this research paper

What this paper is about

Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L -systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L -systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L -system spaces.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L -systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L -systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L -system spaces.

Key concepts: Closure (psychology), Fuzzy logic, Algebraic number, Mathematics, Fuzzy subalgebra, Algebra over a field, Computer science, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The category of algebraic fuzzy closure L -systems on fuzzy complete lattices — Research Paper | ScholarLens