RT journal article
T1 A measure of consistency for fuzzy logic theories
A1 Madrid Labrador, Nicolás Miguel
A1 Ojeda Aciego, Manuel
A2 Matemáticas
K1 Inconsistency
K1 Fuzzy logic
K1 Measure of consistency
AB 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.
PB John Wiley and Sons Ltd
SN 1099-1476
YR 2023
FD 2023
LK http://hdl.handle.net/10498/38431
UL http://hdl.handle.net/10498/38431
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026