Exploring Paraconsistency in Degree-Preserving Fuzzy Logics

Paraconsistent logics are specially tailored to deal with inconsistency, while fuzzy logics primarily deal with graded truth and vagueness. In the last decade, mathematical fuzzy logic has been developed as a discipline studying formal many-valued systems underlying fuzzy logic in narrow sense. In this paper we study to what extent different systems of fuzzy logic are paraconsistent, identifying which families of fuzzy logics satisfy good paraconsistency propertiesAll the authors have been partially supported by the FP7 PIRSES-GA-2009-247584 project MaToMUVI. Besides, Ertola was supported by FAPESP LOGCONS Project, Esteva and Godo were supported by the Spanish project TIN2012-39348-C02-01, Flaminio was supported by the Italian project FIRB 2010 (RBFR10DGUA−002) and Noguera was supported by the grant P202/10/1826 of the Czech Science FoundationPeer Reviewe