Likelihood functions are studied in a probabilistic and possibilistic setting: inferential conclusions are drawn from a set of likelihood functions and prior information relying on the notion of disintegrability. The present study allows for a new interpretation of fuzzy membership functions as coherent conditional possibilities. The concept of possibility of a fuzzy event is then introduced and a comparison with the probability of a fuzzy event is provided.
Fuzzy memberships as likelihood functions in a possibilistic framework / Coletti, Giulianella; Petturiti, Davide; Vantaggi, Barbara. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - 88:(2017), pp. 547-566. [10.1016/j.ijar.2016.11.017]
Fuzzy memberships as likelihood functions in a possibilistic framework
VANTAGGI, Barbara
2017
Abstract
Likelihood functions are studied in a probabilistic and possibilistic setting: inferential conclusions are drawn from a set of likelihood functions and prior information relying on the notion of disintegrability. The present study allows for a new interpretation of fuzzy membership functions as coherent conditional possibilities. The concept of possibility of a fuzzy event is then introduced and a comparison with the probability of a fuzzy event is provided.| File | Dimensione | Formato | |
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