Specification and inference of fuzzy attributes

Abstract

In this work, an extension of the database relational model which incorporates vague or imprecise data is presented. Specifically, we extend the concept of functional dependency to Fuzzy Attributes Tables. This extension is based on the use of a residuated lattice as a truthfulness value set. For this goal, the domains are enriched with fuzzy similarity relations, the atomic values of the tables become fuzzy, and the functional dependencies are also fuzzy and based on the similarity relations. Moreover, we introduce a sound and complete axiomatic system to manipulate these dependencies, named Simplification Logic for fuzzy functional dependencies.