A logic of the similarity with prototypes and its relationship to fuzzy logic
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.133How to use a DOI?
- Degree of similarity with a prototype, Logic of Approximate Entailment, interpretation of fuzzy logic.
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 PB - Atlantis Press SP - 196 EP - 202 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.133 DO - https://doi.org/10.2991/eusflat.2011.133 ID - Vetterlein2011/08 ER -