Separation axioms in fuzzy topological ordered spaces

✍ Scribed by K. El-Saady; M.Y. Bakeir

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 308 KB
• Volume: 98
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00359-x

✦ Synopsis

Since the fuzzy topological space (X, z) may be considered as a fuzzy topological ordered space when it is realised that the non-empty set X is partially ordered by agreeing that x ~< y in X if and only ifx = y. Then the study of the fuzzy topological ordered spaces not only includes the study of the abstract fuzzy topological spaces but also reveals many generalizations of well-known results concerning the abstract fuzzy topological spaces. This paper provides a certain number of separation axioms for fuzzy topological ordered spaces, which we label FTi-order separation axioms (for i = 1,2, 3, 4). The relationships between some of the FTi-order separation axioms are studied.