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On S-quasi-fuzzy proximity spaces
Faculty
Science
Year:
2000
Type of Publication:
Article
Pages:
285-290
Authors:
GHANIM, MH, Tantawy, OA, Selim, FM
DOI:
10.1016/S0165-0114(97)00379-5
Journal:
FUZZY SETS AND SYSTEMS ELSEVIER SCIENCE BV
Volume:
109
Research Area:
Computer Science; Mathematics
ISSN
ISI:000083658900014
Keywords :
fuzzy topological space, S-fuzzy proximity space, gradation of openness
Abstract:
In 1992, a new definition for a fuzzy topological space was given by introducing the concept of a gradation of openness (Chattopadhyay et al., 1992). In 1996, we gave a new definition for a fuzzy proximity space by introducing the concept of a gradation of proximity (Ghanim et al., 1996). In this paper we introduce the concept of a gradation of S-quasi-proximity. We show that each gradation of S-quasi-proximity induces two gradations of openness. Some relations between a gradation of S-quasi-proximity and its induced gradations of openness are also investigated. (C) 2000 Elsevier Science B.V. All rights reserved.
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