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

  • Authors:

  • David Picado Muiòo

  • Affiliations:

  • European Centre for Soft Computing, Edificio Científico Tecnológico, Gonzalo Gutiérrez Quirós s/n, 33600 Mieres, Spain. david.picado@softcomputing.es

  • Venue:
  • Fundamenta Informaticae - MFCS & CSL 2010 Satellite Workshops: Selected Papers
  • Year:
  • 2013

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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.