Generalized quantifiers in formal concept analysis

Usually, datasets contain imprecise data (noise), which can produce unsuspected results on the considered mappings. For instance, this happen with infimum and supremum operators, since both operators are straightforwardly associated universal existencial quantifiers, respectively. An interesting possibility, of decreasing impact possible noise in final results, is consideration generalized quantifiers. This paper introduces four kinds quantifiers based adjoint triples, generalize current approaches to a more flexible framework. Different properties characterizations studied they have been applied formal concept analysis, presenting conjunctive implicative concept-forming outstanding theory.