@misc{10498/38431, year = {2023}, url = {http://hdl.handle.net/10498/38431}, abstract = {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.}, publisher = {John Wiley and Sons Ltd}, keywords = {Inconsistency}, keywords = {Fuzzy logic}, keywords = {Measure of consistency}, title = {A measure of consistency for fuzzy logic theories}, doi = {10.1002/mma.7470}, author = {Madrid Labrador, Nicolás Miguel and Ojeda Aciego, Manuel}, }