Gradations of uniformity and gradations of proximity

Faculty Science Year: 1996
Type of Publication: Article Pages: 373-382
Authors:
GHANIM, MH, Tantawy, OA, Selim, FM
DOI: 10.1016/0165-0114(95)00090-9
Journal: FUZZY SETS AND SYSTEMS ELSEVIER SCIENCE BV Volume: 79
Research Area: Computer Science; Mathematics ISSN ISI:A1996UK50000011
Keywords : fuzzy topological spaces, gradation of openness, fuzzy proximity spaces, fuzzy uniform spaces    
Abstract:
In 1992, a new definition of a fuzzy topological space was given by introducing the concept of a gradation of openness. In this paper, a new definition of a fuzzy uniform (resp, proximity) space is given by introducing the concept of a gradation of uniformity (resp. proximity) on a non empty set X. How to construct a gradation of openness induced by a gradation of uniformity (resp. proximity) is explained. The connexions between gradations of proximity and gradations of uniformity are investigated.
    
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