Proportional Conflict Redistribution Rules for Information Fusion
  In this paper we propose five versions of a Proportional Conflict
Redistribution rule (PCR) for information fusion together with several
examples. From PCR1 to PCR2, PCR3, PCR4, PCR5 one increases the complexity of
the rules and also the exactitude of the redistribution of conflicting masses.
PCR1 restricted from the hyper-power set to the power set and without
degenerate cases gives the same result as the Weighted Average Operator (WAO)
proposed recently by J{\o}sang, Daniel and Vannoorenberghe but does not satisfy
the neutrality property of vacuous belief assignment. That's why improved PCR
rules are proposed in this paper. PCR4 is an improvement of minC and Dempster's
rules. The PCR rules redistribute the conflicting mass, after the conjunctive
rule has been applied, proportionally with some functions depending on the
masses assigned to their corresponding columns in the mass matrix. There are
infinitely many ways these functions (weighting factors) can be chosen
depending on the complexity one wants to deal with in specific applications and
fusion systems. Any fusion combination rule is at some degree ad-hoc.
