Abstract
The classical view in cognitive psychology holds that an object is either an instance of a concept or it is not. In terms of mathematics, every concept is a crisp set. However, as we have discussed above, many concepts do not have clear boundaries or definitions. Different objects have different degrees of membership or typicality with respect to a certain concept. In this section, we give a review of studies that investigate how graded membership, vagueness and uncertainty are modeled. Several extensions to existing ontology models or description logics involves fuzzy sets, therefore we will start by briefly reviewing the basic notions of fuzzy set theory.
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Cai, Y., Au Yeung, Cm., Leung, Hf. (2012). Modeling Uncertainty in Knowledge Representation. In: Fuzzy Computational Ontologies in Contexts. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25456-7_4
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DOI: https://doi.org/10.1007/978-3-642-25456-7_4
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