Topological properties of fuzzy numbers

✍ Scribed by Roy Goetschel Jr.; William Voxman

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 678 KB
• Volume: 10
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(83)80107-9

✦ Synopsis

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.