Fuzzy Implications and the Weak Law of Importation

نویسندگان

  • Sebastià Massanet
  • Joan Torrens
چکیده

Some open problems on fuzzy implications dealing with the so-called importation law are studied and totally or partially solved in this work. In particular, it is proved that such property (in fact a weaker version than the law of importation) is stronger than the exchange principle. Along this study, new characterizations of (S,N)-implications and R-implications involving the law of importation are showed. Keywords— Implication function, exchange principle, law of importation, (S,N)-implication, R-implication.

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تاریخ انتشار 2009