On S-quasi-fuzzy proximity spaces

✍ Scribed by M.H. Ghanim; O.A. Tantawy; Fawzia M. Selim

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 102 KB
• Volume: 109
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00379-5

✦ Synopsis

In 1992, a new deÿnition for a fuzzy topological space was given by introducing the concept of a gradation of openness . In 1996, we gave a new deÿnition for a fuzzy proximity space by introducing the concept of a gradation of proximity . 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.