Distributivity of implication operations over t-representable t-norms in interval-valued fuzzy set theory: The case of nilpotent t-norms

  • Authors:
  • Michał Baczyński

  • Affiliations:
  • -

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2014

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Abstract

In this article we discuss the distributive equation of implications I(x,T"1(y,z))=T"2(I(x,y),I(x,z)) over t-representable t-norms generated from nilpotent t-norms in interval-valued fuzzy sets theory. As a byproduct result we show all solutions of some functional equation related to this case.