Add to ORKGAbstract. Presented is a completeness theorem for fuzzy equational logic with truth values in a complete residuated lattice: Given a fuzzy set of identities and an identity p q, the degree to which p q syntactically follows (is provable) from equals the degree to which p q semantically follows from . Pavelka style generalization of well-known Birkho's theorem is therefore established. Key words: fuzzy logic, fuzzy equality, equational logic AMS Classication: 03B52, 08B05
We deal with general results on (several notions of) completeness of a wide class of predi-cate fuzz...
In [6], Pavelka gives a sound and complete axiomatisation for a logic that reasons with fuzzy sets o...
Residuated lattices form the basis of certain kinds of logical interpretations. Also, complete commu...
We often explain the meaning of formulae of predicate fuzzy logics by using truth degrees [M76]. In ...
We present a logic for reasoning about graded inequalities which gener-alizes the ordinary inequatio...
Abstract. In the framework of fuzzy algebras with fuzzy equalities and a complete lattice as a struc...
The paper deals with fuzzy attribute logic (FAL) and shows its completeness over all complete residu...
This paper is a contribution to the development of model theory of fuzzy logic in narrow sense. We c...
summary:We investigate some (universal algebraic) properties of residuated lattices—algebras which p...
The relation of the basic fuzzy logic BL to continuous t-norms is studied and two additional axioms ...
Fuzzy formal logics were introduced in order to handle graded truth values instead of only 'true' an...
To take into account that expert's degrees of certainty are not always comparable, researchers ...
ABSTRACT: In this paper we investigate expan-sions of Product logic by adding into the language a co...
Abstract. We consider the fuzzy logic ALCI with semantics based on a finite residuated lattice. We s...
In this paper we consider expansions of Lukasiewiz, Product, Gödel and Nilpotent Minimum logics wit...
We deal with general results on (several notions of) completeness of a wide class of predi-cate fuzz...
In [6], Pavelka gives a sound and complete axiomatisation for a logic that reasons with fuzzy sets o...
Residuated lattices form the basis of certain kinds of logical interpretations. Also, complete commu...
We often explain the meaning of formulae of predicate fuzzy logics by using truth degrees [M76]. In ...
We present a logic for reasoning about graded inequalities which gener-alizes the ordinary inequatio...
Abstract. In the framework of fuzzy algebras with fuzzy equalities and a complete lattice as a struc...
The paper deals with fuzzy attribute logic (FAL) and shows its completeness over all complete residu...
This paper is a contribution to the development of model theory of fuzzy logic in narrow sense. We c...
summary:We investigate some (universal algebraic) properties of residuated lattices—algebras which p...
The relation of the basic fuzzy logic BL to continuous t-norms is studied and two additional axioms ...
Fuzzy formal logics were introduced in order to handle graded truth values instead of only 'true' an...
To take into account that expert's degrees of certainty are not always comparable, researchers ...
ABSTRACT: In this paper we investigate expan-sions of Product logic by adding into the language a co...
Abstract. We consider the fuzzy logic ALCI with semantics based on a finite residuated lattice. We s...
In this paper we consider expansions of Lukasiewiz, Product, Gödel and Nilpotent Minimum logics wit...
We deal with general results on (several notions of) completeness of a wide class of predi-cate fuzz...
In [6], Pavelka gives a sound and complete axiomatisation for a logic that reasons with fuzzy sets o...
Residuated lattices form the basis of certain kinds of logical interpretations. Also, complete commu...