Abstract
In this paper we show that the context model proposed by Gebhardt and Kruse (1993) can be semantically extended and considered as a data model for constructing membership functions of fuzzy concepts within the framework of meta-theory developed by Resconi et al. in 1990s. Within this framework, we integrate context models by using a model of modal logic, and develop a method for calculating the expressions for the membership functions of composed fuzzy concepts based on values {0, 1}, which correspond to the truth values {F, T} assigned to a given sentence as the response of a context considered as a possible world. It is of interest that fuzzy intersection and fuzzy union operators by this model are truth-functional, and, moreover, they form a well-known dual pair of Product t-norm T P and Probabilistic Sum t-conorm S P.
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Huynh, V., Nakamori, Y., Ho, T., Resconi, G. (2002). A Context Model for Constructing Membership Functions of Fuzzy Concepts Based on Modal Logic. In: Eiter, T., Schewe, KD. (eds) Foundations of Information and Knowledge Systems. FoIKS 2002. Lecture Notes in Computer Science, vol 2284. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45758-5_7
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DOI: https://doi.org/10.1007/3-540-45758-5_7
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