Conjunctive rules in the theory of belief functions and their justification based on decisions models
This paper is devoted to the study of information aggregation from different sourced in the frame of belief function theory. The paper has two main aims. In the first part of this paper we study the so called conjunctive rules of aggregation that generalize the classical Dempster rule. The aim is to research the relation between the choice of conjunctive rule and the ordering of preferences in decision making. In the second part of this paper we study the axiomatization of measure of contradiction. The measure of contradiction of two belief functions is defined as an infimum of belief function from empty set which considered on the set of possible belief functions obtained with help of conjunctive rules applied to given belief functions. The sufficient conditions (axioms) are postulated implying the existence of a contradiction measure.