We propose an interpretation of fuzzy membership as coherent T-conditional possibility (where T is a continuous triangular norm) regarded as a function of the conditioning event (possibilistic likelihood) and we check which operations between fuzzy sets arise in this framework. Since in the literature an interpretation of the membership as probabilistic likelihood has already been studied, we provide a comparison between the possibilistic and the probabilistic frameworks.
Fuzzy Sets through Likelihood in Probabilistic and Possibilistic Frameworks
COLETTI, Giulianella;PETTURITI, DAVIDE;
2015
Abstract
We propose an interpretation of fuzzy membership as coherent T-conditional possibility (where T is a continuous triangular norm) regarded as a function of the conditioning event (possibilistic likelihood) and we check which operations between fuzzy sets arise in this framework. Since in the literature an interpretation of the membership as probabilistic likelihood has already been studied, we provide a comparison between the possibilistic and the probabilistic frameworks.File in questo prodotto:
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