Title: Separation axioms in fuzzy topological ordered spaces
Abstract: Since the fuzzy topological space (X, τ) 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 if x = 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.
Publication Year: 1998
Publication Date: 1998-09-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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