About Conflict in the Theory of Belief Functions

In the theory of belief functions, the conflict is an important concept. Indeed, combining several imperfect experts or sources allows conflict. However, the mass appearing on the empty set during the conjunctive combination rule is generally considered as conflict, but that is not really a conflict. Some measures of conflict have been proposed, we recall some of them and we show some counter-intuitive examples with these measures. Therefore we define a conflict measure based on expected properties. This conflict measure is build from the distance-based conflict measure weighted by a degree of inclusion introduced in this paper.

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