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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/5014

Title: A context model for constructing membership functions of fuzzy concepts based on modal logic
Authors: Huynh, V.N.
Nakamori, Y.
Ho, T.B.
Resconi, G.
Keywords: Context model
fuzzy concept
membership function
modal logic
Issue Date: 2002
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 2284
Start page: 167
End page: 204
DOI: 10.1007/3-540-45758-5_7
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.
Rights: This is the author-created version of Springer, V.N. Huynh, Y. Nakamori, T.B. Ho and G. Resconi, Lecture Notes in Computer Science, 2284, 2002, 167-204. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/3-540-45758-5_7
URI: http://hdl.handle.net/10119/5014
Material Type: author
Appears in Collections:a10-1. 雑誌掲載論文 (Journal Articles)

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