توضیحات
ABSTRACT
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.
INTRODUCTION
Non-classical logics aim to formalize reasoning in a wide variety of different contexts in which the classical approach
might be inadequate or not sufficiently flexible. This is typically the casewhen the information to reason about is not perfect, e.g. because it is incomplete, imprecise or contradictory. On the one hand, fuzzy logics have been proposed as a powerful tool for reasoning with imprecise information, in particular for reasoning with propositions containing vague predicates. Their main feature is that they allow to interpret formulas in a linearly ordered scale of truth values which makes them specially suited for representing the gradual aspects of vagueness Originating from fuzzy set theory (see Zadeh 1965) they have given rise to the deeply developed area of mathematical fuzzy logic (see Cintula et al. 2011) (MFL). Particular deductive systems in MFL have been usually studied under the paradigm of truth-preservation which, generalizing the classical notion of consequence, postulates that a formula follows from a set of premises if every algebraic evaluation that interprets the premises as true also interprets the conclusion as true
Year: 2014
Publisher: Springer
By: Rodolfo Ertola , Francesc Esteva , Tommaso Flaminio ,Lluís Godo , Carles Noguera
File Information : English Language / 16 Page / Size : 227 K
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سال : 2014
ناشر : Springer
کاری از : Rodolfo Ertola , Francesc Esteva , Tommaso Flaminio ,Lluís Godo , Carles Noguera
اطلاعات فایل : زبان انگلیسی/ 16 صفحه /حجم : 227 K
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