### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | Toegepaste Wiskunde |

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

### Cite this

*On Fuzzy Concepts*. (Applied Mathematics Memoranda; No. 1814). Enschede: Toegepaste Wiskunde.

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*On Fuzzy Concepts*. Applied Mathematics Memoranda, no. 1814, Toegepaste Wiskunde, Enschede.

**On Fuzzy Concepts.** / Hoede, C.; Wang, X.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - On Fuzzy Concepts

AU - Hoede, C.

AU - Wang, X.

N1 - eemcs-eprint-8066

PY - 2006/12

Y1 - 2006/12

N2 - 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.

AB - 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.

KW - IR-66585

KW - EWI-8066

KW - METIS-237581

KW - MSC-05C99

KW - MSC-03E72

M3 - Report

T3 - Applied Mathematics Memoranda

BT - On Fuzzy Concepts

PB - Toegepaste Wiskunde

CY - Enschede

ER -