α*-Uniformities and their order structure

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• 作者：Surabhi Tiwari (1)
  
• 关键词：α* ; Uniformity ; Basis ; α* ; Topology ; Lattice structure ; 54E15 ; 54A40 ; 54D80
• 刊名：Afrika Matematika
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：24
• 期：3
• 页码：417-426
• 全文大小：203KB
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• 作者单位：Surabhi Tiwari (1)
  
  1. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, 211004, UP, India
  

文摘

The aim of this paper is to introduce α*-uniformity on a non-empty set X using α*-covers of X in L-fuzzy set theory and investigate its lattice structure. Equivalent conditions for an α*-uniformity and basis of an α*-uniformity, respectively, are obtained. The topology generated by α*-uniformity, called α*-topology, is also given. Various examples of α*-uniformities on X are given and the α*-topologies induced by them are also considered.