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A roadmap of qualitative independence. (English) Zbl 0943.03013

Dubois, Didier (ed.) et al., Fuzzy sets, logics and reasoning about knowledge. Dordrecht: Kluwer Academic Publishers. Appl. Log. Ser. 15, 325-350 (1999).
From the introduction: The notion of epistemic independence naturally arises in the framework of reasoning under uncertainty and belief change. Most prominently, probabilistic conditional independence (between variables) plays a key role in Bayesian nets. Several authors have advocated the interest of qualitative independence notions for nonmonotonic reasoning. Gärdenfors has investigated the complementary notion of relevance in relation with belief change; continuing in this spirit, Fariñas del Cerro and Herzig have related independence and belief contraction. In the framework of possibility theory, new forms of independence between variables have been studied by Fonck, and De Campos et al., who develop possibilistic counterparts of Bayesian nets. The aim of the paper is to provide an exhaustive typology of the forms that independence and relevance can take in the setting of an ordinal approach to uncertainty. Such an approach underlies major belief change and nonmonotonic inference theories. In the paper we focus on epistemic independence between events.
For the entire collection see [Zbl 0927.00008].

MSC:

03B42 Logics of knowledge and belief (including belief change)
68T37 Reasoning under uncertainty in the context of artificial intelligence
68T30 Knowledge representation
03B52 Fuzzy logic; logic of vagueness
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