Independence and conditional possibility for strictly monotone triangular norms

✍ Scribed by Laura Ferracuti; Barbara Vantaggi

• Book ID: 102279967
• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 210 KB
• Volume: 21
• Category: Article
• ISSN: 0884-8173
• DOI: 10.1002/int.20136

✦ Synopsis

In the literature there are different definitions of conditional possibility. Starting from a general axiomatic definition, we propose a definition of independence for ᭪-conditional possibility, in the case that ᭪ is a strictly monotone triangular norm. We study its main properties to compare it to other definitions introduced in possibility theory. Then, we show that the controversial aspects related to logical dependencies ~structural zeros! can be circumvented. Moreover, a set of properties ~the well-known graphoid properties! has been considered to be tested, allowing us to compare the proposed definition to the independence notions given in the context of other uncertainty formalisms.