In this paper, we propose a new approach to deal with beliefs by supposing that a rational agent has a degree of trustiness for each information it disposes of. We propose (i) a new framework for dealing with imprecise beliefs and desires; (ii) two algorithms for updating the mental state of an agent in this new setting; (iii) three ways for comparing the resulting fuzzy set of desires and (iv) two postulates which the goal election function must obey.
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