title: |
A logic of the similarity with prototypes and its relationship to fuzzy logic |
|
publication: |
||
part of series: |
Advances in Intelligent Systems Research | |
| pages: | 196 - 202 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Thomas Vetterlein |
|
publication date: |
July 2011 |
|
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: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |