L-fuzzy preproximities and L-fuzzy topologies

Kim, Yong Chan; Min, Kyung Chan

doi:10.1016/j.ins.2004.07.005

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction3

Results1

Preliminaries1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2009

2022

Publication Types

Select...

Article7

Relationship

Self Cite0

Independent7

Authors

Journals

Cited by 23 publications

(12 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Kim et al [14] introduced the relationship between L-fuzzy preproximity and L-fuzzy topology. Being principal was necessary for this to be true.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

The category of double fuzzy preproximity spaces

Zahran

Abd-Allah

El-Saady

et al. 2009

Computers & Mathematics with Applications

View full text Add to dashboard Cite

a b s t r a c tIn this paper, we introduce the notions of double neighborhood systems and double fuzzy preproximity in double fuzzy topological spaces. We used double neighborhoods to study the initial structure of double fuzzy topological spaces, and the joins between them and the initial structures of double fuzzy preproximity spaces. Furthermore, we have proved that the category of double fuzzy preproximity spaces is a topological category, and hence a topological construct.Crown

show abstract

“…Kim et al [14] introduced the relationship between L-fuzzy preproximity and L-fuzzy topology. Being principal was necessary for this to be true.…”

Section: Resultsmentioning

confidence: 99%

“…In this paper we deal with the notion of L-fuzzy preproximity spaces introduced and studied by Kim et al [14] (in the case of L = [0, 1]). It is worth mentioning that this is not the first time of doing this (see [15]).…”

Section: Introductionmentioning

confidence: 99%

The category of double fuzzy preproximity spaces

Zahran

Abd-Allah

El-Saady

et al. 2009

Computers & Mathematics with Applications

View full text Add to dashboard Cite

show abstract

“…Level decomposition of an L-fuzzy proximity Definition 5 [18] A map δ : L X × L X → L is called an L-fuzzy proximity on X if it satisfies the following conditions:…”

Section: Preliminariesmentioning

confidence: 99%