Using Dempster-Shafer's belief-function theory in expert systems

The main objective of this paper is to describe how Dempster-Shafer's (DS) theory of belief functions fits in the framework of valuation-based systems (VBS). Since VBS serves as a framework for managing uncertainty in expert systems, this facilitates the use of DS belief- function theory in expert systems.

[1]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[2]  Lotfi A. Zadeh,et al.  A Theory of Approximate Reasoning , 1979 .

[3]  Prakash P. Shenoy,et al.  Propagating Belief Functions with Local Computations , 1986, IEEE Expert.

[4]  Khaled Mellouli,et al.  On the propagation of beliefs in networks using the Dempster-Shafer theory of evidence , 1987 .

[5]  Khaled Mellouli,et al.  Propagating belief functions in qualitative Markov trees , 1987, Int. J. Approx. Reason..

[6]  Derek G. Corneil,et al.  Complexity of finding embeddings in a k -tree , 1987 .

[7]  Wolfgang Spohn,et al.  Ordinal Conditional Functions: A Dynamic Theory of Epistemic States , 1988 .

[8]  Prakash P. Shenoy,et al.  Axioms for probability and belief-function proagation , 1990, UAI.

[9]  Augustine Kong,et al.  Uncertain evidence and artificial analysis , 1990 .

[10]  Prakash P. Shenoy,et al.  A valuation-based language for expert systems , 1989, Int. J. Approx. Reason..

[11]  Prakash P. Shenoy Valuation-based systems for discrete optimisation , 1990, UAI.

[12]  Uue Kjjrull Triangulation of Graphs { Algorithms Giving Small Total State Space Triangulation of Graphs { Algorithms Giving Small Total State Space , 1990 .

[13]  Prakash P. Shenoy,et al.  On Spohn's rule for revision of beliefs , 1991, Int. J. Approx. Reason..

[14]  Alessandro Saffiotti,et al.  Pulcinella: A General Tool for Propagating Uncertainty in Valuation Networks , 1991, UAI.

[15]  Prakash P. Shenoy,et al.  Valuation-based systems for propositional logic , 1991 .

[16]  Prakash P. Shenoy,et al.  Valuation-based systems: a framework for managing uncertainty in expert systems , 1992 .

[17]  Prakash P. Shenoy,et al.  Using possibility theory in expert systems , 1992 .

[18]  Prakash P. Shenoy,et al.  Valuation-Based Systems for Bayesian Decision Analysis , 1992, Oper. Res..

[19]  Prakash P. Shenoy,et al.  A new method for representing and solving Bayesian decision problems , 1993 .

[20]  Prakash P. Shenoy,et al.  Valuation Networks and Conditional Independence , 1993, Conference on Uncertainty in Artificial Intelligence.

[21]  J. Kacprzyk,et al.  USING DEMPSTER-SHAFER ’ S BELIEF-FUNCTION THEORY IN EXPERT SYSTEMS , 1994 .

[22]  Kurt Fanning,et al.  A Comparative Analysis of Artificial Neural Networks Using Financial Distress Prediction , 1994 .

[23]  Prakash P. Shenoy Consistency in Valuation-Based Systems , 1994, INFORMS J. Comput..

[24]  Prakash P. Shenoy,et al.  Conditional independence in valuation-based systems , 1994, Int. J. Approx. Reason..