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8066 On Fuzzy Concepts
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Hoede, C. and Wang, Xin (2006) On Fuzzy Concepts. Memorandum 1814, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

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Abstract

In this paper we try to combine two approaches. One is the theory of knowledge graphs in which concepts are represented by graphs. The other is the axiomatic theory of fuzzy sets (AFS).

The discussion will focus on the idea of fuzzy concept. It will be argued that the fuzziness of a concept in natural language is mainly due to the difference in interpretation that people give to a certain word. As different interpretations lead to different knowledge graphs, the notion of fuzzy concept should be describable in terms of sets of graphs. This leads to a natural introduction of membership values for elements of graphs. Using these membership values we apply AFS theory as well as an alternative approach to calculate fuzzy decision trees, that can be used to determine the most relevant elements of a concept.

Item Type:Internal Report (Memorandum)
Research Group:EWI-DMMP: Discrete Mathematics and Mathematical Programming
ID Code:8066
Deposited On:31 January 2007
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