ON FUZZY BITOPOLOGICAL SPACES

Authors
KANDIL A NOUH AA ELSHEIKH SA
Citation
A. Kandil et al., ON FUZZY BITOPOLOGICAL SPACES, Fuzzy sets and systems, 74(3), 1995, pp. 353-363
Citations number
14
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
74
Issue
3
Year of publication
1995
Pages
353 - 363
Database
ISI
SICI code
0165-0114(1995)74:3<353:OFBS>2.0.ZU;2-R
Abstract
In this paper, we have used the fuzzy topologies tau(1) and tau(2) to generate a family tau(s), which is a supra fuzzy topology on X. Using the family tau s, we introduce and study the concepts of separation ax ioms, continuity (resp. openness, closedness) of a mapping and compact ness for a fuzzy bitopological space (X, tau(1), tau(2)). Our definiti ons preserve much of the correspondence between concepts of fuzzy bito pological spaces and the associated fuzzy topological spaces. We then investigate the relationship between these concepts and their correspo ndence with the fuzzy bitopological spaces (Kandil and El-Shafee, 1991 ).