Infinite sum on the fuzzy real line

✍ Scribed by Geping Wang

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 439 KB
• Volume: 98
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00356-4

✦ Synopsis

The fuzzy addition on the fuzzy real line due to Hutton (1975) has been investigated by Lowen (1983), Rodabaugh (1982) and Wang (1988). In this paper we introduce the notion of infinite sums on the fuzzy real line, give a necessary and sufficient condition for an infinite sum to be convergent and discuss some properties of the ~-cut of infinite sums.