Fuzzy topology on fuzzy sets: Product fuzzy topology and fuzzy topological groups

✍ Scribed by Pratulananda Das

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 393 KB
• Volume: 100
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00070-5

✦ Synopsis

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 properties of fuzzy topological groups are obtained.