On Triangular Norm-based Propositional Fuzzy Logics

  title={On Triangular Norm-based Propositional Fuzzy Logics},
  author={Dan Butnariu and Erich Peter Klement},
Fuzzy logics based on triangular norms and their corresponding conorms are investigated. An aarmative answer to the question whether in such logics a speciic level of satissability of a set of formulas can be characterized by the same level of satissability of its nite subsets is given. Tautologies, contradictions and contingencies with respect to such fuzzy logics are studied, in particular for the important cases of min-max and Lukasiewicz logics. Finally, fundamental t-norm-based fuzzy… CONTINUE READING