A logic of the similarity with prototypes and its relationship to fuzzy logic

DOI

10.2991/eusflat.2011.133How to use a DOI?

Keywords

Degree of similarity with a prototype, Logic of Approximate Entailment, interpretation of fuzzy logic.

Abstract

Fuzzy sets are widely used to model vague properties. According to a common understanding, a fuzzy set represents the degrees of similarity of precisely specified objects with the prototypes of the considered vague property. We propose a logic based on this idea, using an entailment relation which was introduced in a work of Dubois, Prade, Esteva, Garcia, and Godo. The logic allows reasoning about the similarity with specific sets of prototypes; however, set-theoretic operations among the sets of prototypes associated to different properties are not dealt with. We arrive at a formalism closely related to fuzzy logic.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Thomas Vetterlein
PY  - 2011/08
DA  - 2011/08
TI  - A logic of the similarity with prototypes and its relationship to fuzzy logic
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 196
EP  - 202
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.133
DO  - 10.2991/eusflat.2011.133
ID  - Vetterlein2011/08
ER  -