Generalized quasi-proximities

Authors:
Yueli Yue;Fu-Gui Shi
Affiliations:
Department of Mathematics, Ocean University of China, Qingdao 266071, PR China and Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 7
Cited 0

Abstract and concrete categories

Abstract and concrete categories
Theory of topological molecular lattices

Fuzzy Sets and Systems
Pointwise uniformities in fuzzy set theory

Fuzzy Sets and Systems
On S-quasi-fuzzy proximity spaces

Fuzzy Sets and Systems
L-proximities and totally bounded pointwise L-uniformities

Fuzzy Sets and Systems - Topology
Categories isomorphic to the Kubiak--Šostak extension of TML

Fuzzy Sets and Systems
The category of pointwise S-proximity spaces

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

This paper studies several kinds of fuzzy quasi-proximities. Firstly, we introduce generalized pointwise S-quasi-proximities and prove that S-FPQPS-the category of generalized pointwise S-quasi-proximity spaces-is isomorphic to TFRNS-the category of topological fuzzy remote neighborhood spaces. Secondly, we introduce generalized S-quasi-proximities and prove that S-FQPS-the category of generalized S-quasi-proximity spaces-is isomorphic to S-FPQPS. Finally, we study generalized quasi-proximities and discuss the relationships between this kind of quasi-proximities and generalized pointwise quasi-uniformities.