Order Structure of Α ∗ - Uniformities
نویسنده
چکیده
The aim of this paper is to introduce and investigate α∗-uniformity on a nonempty set X using α∗-covers of X in L-fuzzy set theory. Equivalent conditions for α∗-uniformity and basis to α∗-uniformity, respectively, are obtained. The topology generated by α∗-uniformity, called α∗-topology, is also given. Various examples of α∗-uniformity on X are given and the α∗-topology induced by them are also seen. It is shown that the family of all α∗ -uniformities on a non-empty set X forms a complete lattice.
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