Lexicographical estimates of likelihood with universal boundaries. II

Abstract

Properties of negation operations, not being involutions in the general case, are studied. Arbitrary linear-ordered set of likelihood values is considered as a set of likelihood values. Properties of negation operations over various sets of lexicographical likelihood estimates, being the extensions of the assumed negation operation, are studied. Over sets of the Λ-estimates and V-estimates of likelihood, it is possible to introduce only minimum extensions of negation operation from the assumed likelihood scale. Over a set of (V, Λ)-estimates of likelihood the introduction of several different negation operations is possible.