A Context Model for Constructing Membership Functions of Fuzzy Concepts Based on Modal Logic

  • Authors:
  • Van-Nam Huynh;Yoshiteru Nakamori;Tu Bao Ho;Germano Resconi

  • Affiliations:
  • -;-;-;-

  • Venue:
  • FoIKS '02 Proceedings of the Second International Symposium on Foundations of Information and Knowledge Systems
  • Year:
  • 2002

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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 TP and Probabilistic Sum t-conorm SP.