Construction of strong equality index from implication operators
We present the concept of strong equality index, basing ourselves on the definition of strong inclusion given by Dubois and Prade in 1980. We develop different construction methods using implication operators that satisfy two additional properties. We make an exhaustive study of these two properties. We also show another two construction theorems for strong equality indexes, one of them making use of order automorphisms and the other using the parametric families oft-norms. t-conorms and strong negations of Hamacher. We finish with an analysis of different relationships between fuzzy entropies and strong equality indexes. (C) 2012 Elsevier B.V. All rights reserved.
strong equality index implication operator strong negation fuzzy entropy fuzzy connectives fuzzy implication hamacher family strong equality function