Coherent T-conditional possibility envelopes and their extension.
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Likelihood functions in probabilistic and possibilistic settings.
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Interpretation of a fuzzy membership as a coherent T-conditional possibility.
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Possibility of fuzzy events and imprecise possibilistic fuzzy IF–THEN rules.
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.