Fuzzy Independence and Extended Conditional Probability

The use of fuzzy independence in the computation of extended conditional probability was discussed. It was shown that how the formulation of degree of independence leads to a formula fulfilling the desiderata. A comparison of the computed formula with other possible formulations of parameterized independence was also presented. It was found that a transformation of the Hummel-Manevitz method and the presented fuzzy methods were in close approximations of each others.