Methods to Determine Generalized Basic Probability Assignment in Generalized Evidence Theory
Deqiang Han · Xi'an Jiaotong Daxue xuebao · 2011
Determination of the basic probability assignment(BPA) is the first step to use evidence theory.How to determine BPA is still an open issue.Two methods,namely strong constrain method and weak constrain method,are proposed to deal with open world and close world respectively.In the framework of the proposed generalized evidence theory,a strong constrain method for determination of generalized basic probability assignment(GBPA) is developed.Compared with the existing methods,the new method can generate GBPA without the constrain that the empty set should be set zero.In addition,the value of the empty illustrates the possibility degree that the frame of discernment is not complete.A weak constrain method is also presented to generate BPA in the close world.The weak constrain can determine the BPA even the sample does not cross with the representation model.Some numerical examples are used to illustrate the efficiency of the proposed methods.