A Consequence Relation for Graded Inference within the Frame of Infinite-valued Łukasiewicz Logic

Issue title: MFCS & CSL 2010 Satellite Workshops: Selected Papers

Article type: Research Article

Authors: Muiño, David Picado

Affiliations: European Centre for Soft Computing, Edificio Científico Tecnológico, Gonzalo Gutiérrez Quirós s/n, 33600 Mieres, Spain. [email protected]

Note: [] Address for correspondence: European Centre for Soft Computing, Edificio Científico Tecnológico, Gonzalo Gutiérrez Quirós s/n, 33600 Mieres, Spain

Abstract: We present a family of consequence relations for graded inference among Łukasiewicz sentences. Given a set of premises and a threshold η, we consider consequences those sentences entailed to hold to at least some degree ζ whenever the premises hold to a degree at least η. We focus on the study of some aspects and features of the consequence relations presented and, in particular, on the effect of variations in the thresholds η, ζ.

DOI: 10.3233/FI-2013-801

Journal: Fundamenta Informaticae, vol. 123, no. 1, pp. 77-95, 2013