Independence in possibility theory under different triangular norms

Authors:
Giulianella Coletti;Davide Petturiti;Barbara Vantaggi
Affiliations:
Dip. Matematica e Informatica, Università di Perugia, Italy;Dip. Matematica e Informatica, Università di Perugia, Italy;Dip. S.B.A.I., Università di Roma "La Sapienza", Italy
Venue:
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2013

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Abstract

In this paper we consider coherent T-conditional possibility assessments, with T a continuous t-norm, and introduce for them a concept of independence already studied for the minimum and strict t-norms. As a significant particular case of T-conditional possibility we explicitly consider TDP-conditional possibility (obtained through the minimum specificity principle) introduced by Dubois and Prade.