Foundations of O-Theory 2: Measurements and Relation to Fuzzy Set Theory

摘要

A conceptual experimental framework for O-theory and the possibility form of fuzzy set theory is presented. The framework is probabilistic and derived from experimental measurements of evidential support. It is used to quantify the probabilistic masses needed in O-theory and the membership functions used in fuzzy set theory. Instances in which these two different representations of the same experimental data are equivalent are then explored. The relationships between general operators in both theories are then discussed, along with their connection to Dempster-Shafer theory. Finally, several illustrative examples of deductive inferencing under uncertainty are solved. The equivalence of the representations of the results in both uncertainty theories is demonstrated. 16 refs., 5 figs. (ERA citation 13:002756)