Negation is a key element in the construction of logical systems and plays a central role in reasoning and information manipulation tools. This paper considers the issue of negating graded beliefs, in the framework of a graded doxastic logic. It studies three interpretations of negation for these high level pieces of information, where negation is transferred to the three components of graded beliefs: the formula about which a belief is expressed, the belief modality and the belief level. The paper discusses the choice of appropriate formal frameworks for each of them, considering modal, fuzzy and many-valued logics; it characterises their use and underlines their relations, in particular regarding their effects on the belief degrees.
CITATION STYLE
Legastelois, B., Lesot, M. J., & Revault d’Allonnes, A. (2016). Negation of graded beliefs. In Communications in Computer and Information Science (Vol. 611, pp. 148–160). Springer Verlag. https://doi.org/10.1007/978-3-319-40581-0_13
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