Fuzzy T L -uniform spaces

Khaled A. Hashem and Nehad N. Morsi

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-24

Abstract:

The main purpose of this paper is to introduce a new structure that is a fuzzy T L -uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzy T -locality space. Also, we deduce the concept of level uniformities of a fuzzy T L -uniformity. We connect the category of fuzzy T L -uniform spaces with the category of uniform spaces. We establish a necessary and sufficient condition, under which a fuzzy T L -uniformity is probabilistic pseudometrizable. Finally, we define a functor from the category of fuzzy T L -uniform spaces into the category of fuzzy T -locality spaces and we show that it preserves optimal lifts.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2006/025094.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2006/025094.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:025094

DOI: 10.1155/IJMMS/2006/25094

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().