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Gradations of openness and Chang’s fuzzy topologies

✍ Scribed by V. Gregori; A. Vidal

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
151 KB
Volume
109
Category
Article
ISSN
0165-0114

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✦ Synopsis

We study some properties of gradations of openness deÿned on a set X and prove that each gradation of openness is the supremum (inÿmum) of a strictly increasing (decreasing) sequence of gradations of openness which are equivalent to . Also, we characterize those fuzzy topological spaces (X; T) with the property that there exists a gradation of openness from I X onto I such that G ∈ T i (G)¿0.

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