On the correspondence between classes of implicational and equivalence quantifiers

摘要

Relations between two Boolean attributes derived from data can be quantified by truth functions defined on four-fold tables corresponding to parirs of the attributes.In the paper,several classes of such quantifiers (implicational,double implicational,equivalence ones) with truth values in the unit interval are investigated.The method of construction of the logically nearest double implicational and equivalence quantifiers to a givenimplicational quantifier (and vice versa) is described and approved.