In the literature there are different definitions of conditional possibility. Starting from a general axiomatic definition, we propose a definition of independence for circle dot-conditional possibility, in the case that circle dot 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. (c) 2006 Wiley Periodicals, Inc.

Independence and conditional possibility for strictly monotone triangular norms / Laura, Ferracuti; Vantaggi, Barbara. - In: INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS. - ISSN 0884-8173. - STAMPA. - 21:3(2006), pp. 299-323. (Intervento presentato al convegno 6th Workshop on Uncertainty Processing tenutosi a Hejnice, CZECH REPUBLIC nel SEP 24-27, 2003) [10.1002/int.20136].

Independence and conditional possibility for strictly monotone triangular norms

VANTAGGI, Barbara
2006

Abstract

In the literature there are different definitions of conditional possibility. Starting from a general axiomatic definition, we propose a definition of independence for circle dot-conditional possibility, in the case that circle dot 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. (c) 2006 Wiley Periodicals, Inc.
2006
graphoid; independence; possibity and conditioning; strict triangular norms
01 Pubblicazione su rivista::01a Articolo in rivista
Independence and conditional possibility for strictly monotone triangular norms / Laura, Ferracuti; Vantaggi, Barbara. - In: INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS. - ISSN 0884-8173. - STAMPA. - 21:3(2006), pp. 299-323. (Intervento presentato al convegno 6th Workshop on Uncertainty Processing tenutosi a Hejnice, CZECH REPUBLIC nel SEP 24-27, 2003) [10.1002/int.20136].
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/101760
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 27
  • ???jsp.display-item.citation.isi??? 26
social impact