O-THEORY—A HYBRID UNCERTAINTY THEORY

Publisher Website
Google Scholar
Abstract
A hybrid uncertainty theory is developed to bridge the gap between fuzzy set theory and Dempster-Shafer theory. Its basis is the Dempster-Shafer formalism, which is extended to include a complete set of basic operations for manipulating uncertainties in a set-theoretic framework. The new theory, operator-belief theory (OT), retains the probabilistic flavor of Dempster's original point-to-set mappings but includes the potential for defining a wider range of operators like those found in fuzzy set theory. The basic operations defined for OT in this paper include those for: dominance and order, union, intersection, complement and general mappings. Several sample problems in approximate reasoning are worked out to illustrate the new approach as well as to compare it with the other theories currently being used. A general method or extending the theory by using fuzzy set theory as a guide is suggested.

This publication has 5 references indexed in Scilit: