FOUNDATIONS OF O-THEORY: MEASUREMENTS AND RELATION TO FUZZY SET THEORY

Publisher Website
Google Scholar
Abstract
A measurement framework for O-theory, an algebra of random sets, 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. This framework allows a connection to be made between this random set algebra and the possibilistic form of fuzzy set theory. Instances in which these two different representations of the same experimental data are equivalent are explored. The relationship between some basic 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.

This publication has 8 references indexed in Scilit: