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A measure of consistency for fuzzy logic theories Madrid-Labrador, Nicolás Miguel Ojeda-Aciego, Manuel Lógica difusa 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 inconsistency 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 consistency 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. 2025-10-15T08:38:35Z 2025-10-15T08:38:35Z 2023-10-01 journal article N. Madrid and M. Ojeda-Aciego. A measure of consistency for fuzzy logic theories. Mathematical Methods in the Applied Sciences, 46:15982-15995, 2023 https://hdl.handle.net/10630/40240 10.1002/mma.7470 eng open access Wiley