On Fuzzy Concepts

C. Hoede; X. Wang

On Fuzzy Concepts

C. Hoede, X. Wang

Discrete Mathematics and Mathematical Programming

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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.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente
Number of pages	29
Publication status	Published - Dec 2006

Publication series

Name	Applied Mathematics Memoranda
Publisher	Department of Applied Mathematics, University of Twente
No.	1814
ISSN (Print)	0169-2690

Keywords

IR-66585
EWI-8066
METIS-237581
MSC-05C99
MSC-03E72

Access to Document

http://www.math.utwente.nl/publications

Cite this

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