Deductive Systems of Fuzzy Logic (a Tutorial)

On the difference between traditional and deductive fuzzy logic

In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois–Prade’s gradual elements, the entropy of a fuzzy set, and aggregation operators), the paper exemplifies methodological differences between traditional and deductive fuzzy logic. While traditional fuzzy logic admits various interpretations of membership degrees, deductive fuzzy logic always interprets them as degrees of...

Anti Fuzzy Deductive Systems of BL-Algebras

The aim of this paper is to introduce the notion of anti fuzzy (prime) deductive system in BL-algebra and to investigate their properties. It is shown that the set of all deductive systems (with the empty set) of a BL-algebra X is equipotent to a quotient of the set of all anti fuzzy deductive systems of X. The anti fuzzy prime deductive system theorem of BL-algebras is also proved. Anti Fuzzy ...

Magic Sets Method with Fuzzy Logic

This paper describes a method of the efficient query evaluation when uncertainty is involved in a deductive database system. A deductive system enriched with fuzzy logic is able to serve better as a knowledge system. Speeding up its execution makes this system practically useful.

An application of fuzzy logic in measuring a systems eectiveness

Fuzzy Logic Algebras on Residuated Lattices

We focus on some important fuzzy logic algebras on residuated lattices. These interesting algebraic structures and their main properties are reviewed, and their relationships are clarified. Corresponding formal deductive systems for fuzzy logic are