Belief Functions and Degrees of Non-conflictness

A hidden conflict of belief functions in the case where the sum of all multiples of conflicting belief masses being equal to zero was observed. To handle that, degrees of non-conflictness and full non-conflictness are defined. The family of these degrees of non-conflictness is analyzed, including its relation to full non-conflictness. Further, mutual non-conflictness between two belief functions accepting internal conflicts of individual belief functions are distinguished from global non-conflictness excluding both mutual conflict between belief functions and also all internal conflicts of individual belief functions. Finally, both theoretical and computational issues are presented.

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