Fuzzy <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>T</mml:mi><mml:mi>L</mml:mi></mml:math>-uniform spaces

Hashem, Khaled A.; Morsi, Nehad N.

doi:https://doi.org/10.1155/IJMMS/2006/25094

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 025094 | https://doi.org/10.1155/IJMMS/2006/25094

Fuzzy TL-uniform spaces

Khaled A. Hashem¹and Nehad N. Morsi²

Received12 Sept 2005

Revised12 Apr 2006

Accepted25 Apr 2006

Published17 Sept 2006

Abstract

The main purpose of this paper is to introduce a new structure that is a fuzzy TL-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 TL-uniformity. We connect the category of fuzzy TL-uniform spaces with the category of uniform spaces. We establish a necessary and sufficient condition, under which a fuzzy TL-uniformity is probabilistic pseudometrizable. Finally, we define a functor from the category of fuzzy TL-uniform spaces into the category of fuzzy T-locality spaces and we show that it preserves optimal lifts.

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Copyright

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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