Name
Abstract | ||
|---|---|---|
This paper is a contribution to the study of similarity relations between objects represented as attribute-value pairs in Fuzzy Description Logics. For this purpose we use concrete domains in the fuzzy description logic IALCEF(D) associated either with a left-continuous or with a finite t-norm. We propose to expand this fuzzy description logic by adding a Similarity Box (SBox) including axioms expressing properties of fuzzy equalities. We also define a global similarity between objects from similarities between the values of each object attribute (local similarities) and we prove that the global similarity defined using a t-norm inherits the usual properties of the local similarities (reflexivity, symmetry or transitivity). We also prove a result relative to global similarities expressing that, in the context of the logic MTL∀, similar objects have similar properties, being these properties expressed by predicate formulas evaluated in these objects. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.fss.2015.11.021 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
Similarity relation,Description logics,Fuzzy description logics,Attribute-value representation,Similarity box | Discrete mathematics,T-norm fuzzy logics,Axiom,Fuzzy logic,Description logic,Monoidal t-norm logic,Predicate (grammar),Fuzzy number,Mathematics,Transitive relation | Journal |
Volume | Issue | ISSN |
292 | C | 0165-0114 |
Citations | PageRank | References |
1 | 0.37 | 39 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Eva Armengol | 1 | 315 | 32.24 |
| Pilar Dellunde | 2 | 156 | 22.63 |
| Àngel García-Cerdaña | 3 | 71 | 10.05 |