%0 Journal Article 
%A Madrid Labrador, Nicolás Miguel
%A Ojeda Aciego, Manuel
%T A measure of consistency for fuzzy logic theories
%D 2023
%@ 1099-1476

%U http://hdl.handle.net/10498/38431
%X Fuzzy logic has shown to be a suitable framework to handle contradictions in which, unsurprisingly, the notion of inconsistency can be defined in different ways. This paper starts with a short survey of different ways to define the notion of inconsis- tency in fuzzy logic systems. As a result, we provide a first notion of inconsistency by means of the absence of models. Subsequently, we define two measures of con- sistency that belong purely to the fuzzy paradigm; in the sense that both measures coincide with the crisp notion of consistency when the set of truth values is {0, 1}. Accordingly, we can state that the two provided measures of consistence are notions of consistence based on degrees, bringing back the spirit of fuzzy logic into the notion of consistency.
%K Inconsistency
%K Fuzzy logic
%K Measure of consistency
%~ Universidad de Cádiz