We adopt the interpretation of fuzzy set as coherent conditional probability, and we study coherent enlargement of a probability distribution (on a random variable) and of a membership function on fuzzy conditional events. We consider a family of fuzzy sets closed with respect to the union and the intersection, whose membership functions are ruled by Frank t-norms and t-conorms. We study the concept of degree of fuzzy inclusion by focusing in particular on inclusion of degree 1, which can be regarded as a default rule. We get also a default logic with the relevant inference rules. © 2013 Springer-Verlag Berlin Heidelberg.

Coherent conditional probability, fuzzy inclusion and default rules / Giulianella, Coletti; Scozzafava, Romano; Vantaggi, Barbara. - 291(2013), pp. 193-208. - STUDIES IN FUZZINESS AND SOFT COMPUTING. [10.1007/978-3-642-34922-5-14].

Coherent conditional probability, fuzzy inclusion and default rules

VANTAGGI, Barbara
2013

Abstract

We adopt the interpretation of fuzzy set as coherent conditional probability, and we study coherent enlargement of a probability distribution (on a random variable) and of a membership function on fuzzy conditional events. We consider a family of fuzzy sets closed with respect to the union and the intersection, whose membership functions are ruled by Frank t-norms and t-conorms. We study the concept of degree of fuzzy inclusion by focusing in particular on inclusion of degree 1, which can be regarded as a default rule. We get also a default logic with the relevant inference rules. © 2013 Springer-Verlag Berlin Heidelberg.
2013
Studies in Fuzziness and Soft ComputingSoft Computing: State of the Art Theory and Novel Applications
9783642349218
9783642349225
02 Pubblicazione su volume::02a Capitolo o Articolo
Coherent conditional probability, fuzzy inclusion and default rules / Giulianella, Coletti; Scozzafava, Romano; Vantaggi, Barbara. - 291(2013), pp. 193-208. - STUDIES IN FUZZINESS AND SOFT COMPUTING. [10.1007/978-3-642-34922-5-14].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/558109
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