Paraconsistency properties in degree-preserving fuzzy logics

0506967 - ÚI 2020 RIV DE eng J - Journal Article
Ertola, R. - Esteva, F. - Flaminio, T. - Godo, L. - Noguera, Carles
Paraconsistency properties in degree-preserving fuzzy logics.
Soft Computing. Roč. 19, č. 3 (2015), s. 531-546. ISSN 1432-7643. E-ISSN 1433-7479
Institutional support: RVO:67985807
Keywords : Mathematical fuzzy logic * Degree-preserving fuzzy logics * Paraconsistent logics * Logics of formal inconsistency
OECD category: Pure mathematics
Impact factor: 1.630, year: 2015
Method of publishing: Limited access
http://dx.doi.org/10.1007/s00500-014-1489-0

Paraconsistent logics are specially tailored to deal with inconsistency, while fuzzy logics primarily deal with graded truth and vagueness. Aiming to find logics that can handle inconsistency and graded truth at once, in this paper we explore the notion of paraconsistent fuzzy logic. We show that degree-preserving fuzzy logics have paraconsistency features and study them as logics of formal inconsistency. We also consider their expansions with additional negation connectives and first-order formalisms and study their paraconsistency properties. Finally, we compare our approach to other paraconsistent logics in the literature.
Permanent Link: http://hdl.handle.net/11104/0298089