Infinite-Valued Lukasiewicz Logic Based on Principal Lattice Filters

  • Authors:
  • Félix Bou

  • Affiliations:
  • -

  • Venue:
  • ISMVL '10 Proceedings of the 2010 40th IEEE International Symposium on Multiple-Valued Logic
  • Year:
  • 2010

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Abstract

In this paper we axiomatize the formulas that, in the infinite-valued (standard) Lukasiewicz algebra, always take a value above certain fixed number. This generalizes the approach considered in the infinite-valued Lukasiewicz logic, where the fixed number is the maximum.