Some statistical applications of generalized Jensen difference divergence measures for fuzzy information systems

Abstract

In previous papers we have compared statistical experiments by considering unified scalar parametric generalizations of the Jensen difference divergence measure. In this paper we first introduce the generalized Jensen difference divergence measures when the available information from the experiment is not exact in order to compare fuzzy information systems. Then we establish the relationship between extended Fisher information and the generalized (r, s)-Jensen difference divergence measures.