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Fuzzy topological properties and hereditariness

โœ Scribed by Cosimo De Mitri; Cosimo Guido; Rita E. Toma

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
338 KB
Volume
138
Category
Article
ISSN
0165-0114

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๐Ÿ“œ SIMILAR VOLUMES

Topological properties of fuzzy numbers
Topological properties of fuzzy numbers
โœ Roy Goetschel Jr.; William Voxman ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 678 KB

Fuzzy numbers are defined and a metric is assigned to this class of fuzzy sets. Topological properties of the resulting metric space are studied. The notion of e-crisp fuzzy numbers is introduced, and, in particular, it is shown that this class of fuzzy numbers is homeomorphic to the Hilbert cube.

Fuzzy topology on fuzzy sets: Product fu
Fuzzy topology on fuzzy sets: Product fuzzy topology and fuzzy topological groups
โœ Pratulananda Das ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB

The notion of product fuzzy topology in the case of fuzzy topology on fuzzy sets is introduced and the product invariance of fuzzy Hausdorffness, compactness, connectedness are examined. The product fuzzy topology is used to define fuzzy group topology on a fuzzy subgroup of a group G and some prope