Covering Fuzzy Uniform Spaces
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Authors
Maryam Yaghoubi
- Payame Noor University, Iran
Abstract
Topological, proximal and uniform structures on the fuzzy spaces are defined using
different set of axioms and basic terms. There are various equivalent definitions in
literature even for each of these structures. Since the late seventies and early eighties
uniformity in fuzzy topology was studied by three authors. B. Hutton[5] , U.
Höhle[3,4], and R. Lowen[8]. The approaches of U. Höhle and R. Lowen underpinned
by power sets of the form \(I^{ X ×X}\) or \(T^{ X ×X}\) and \(B\). Hutton approach is based on
exponential power sets of the form \((T^X)^{T^X}\) .
Recently, a different approach to fuzzy uniformities, in terms of T -covers was
introduced which seems the most natural one.
In this paper we investigate some properties of \(T\)- valued uniformities and we will
show that a functor between Hutton uniformities and \(T\)- valued uniformities.
Share and Cite
ISRP Style
Maryam Yaghoubi, Covering Fuzzy Uniform Spaces, Journal of Mathematics and Computer Science, 2 (2011), no. 3, 407--412
AMA Style
Yaghoubi Maryam, Covering Fuzzy Uniform Spaces. J Math Comput SCI-JM. (2011); 2(3):407--412
Chicago/Turabian Style
Yaghoubi, Maryam. "Covering Fuzzy Uniform Spaces." Journal of Mathematics and Computer Science, 2, no. 3 (2011): 407--412
Keywords
- fuzzy spaces
- covering fuzzy uniform spaces
- Hutton uniform spaces.
MSC
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