Pointwise uniformities in fuzzy set theory

✍ Scribed by Shi Fugui

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 399 KB
• Volume: 98
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00364-8

✦ Synopsis

A theory of pointwise (quasi-) uniformities is based on fuzzy sets. Many theorems corresponding to the usual theorems in general topology are generalized on fuzzy sets. In particular, each fuzzy topological space is pointwise quasi-uniformizable. A pointwise uniformity is characterized in terms of a kind of complete regularity. A uniformity on the fuzzy unit interval is constructed.