Metrics and orders in space of fuzzy numbers

✍ Scribed by Przemysław Grzegorzewski

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 612 KB
• Volume: 97
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00322-3

✦ Synopsis

Two classes of metrics (~p,q and pp, where l~<p~<c~, 0~<q~<l, in space of fuzzy numbers are introduced. Then a method of ranking fuzzy numbers based on these metrics is proposed and investigated. Not only fuzzy numbers but also the left-sided and fight-sided fuzzy numbers are considered. Applications in making decisions and statistics are suggested.