On modal logic interpretation of Dempster–Shafer theory of evidence
David Harmanec, George J. Klir, Germano Resconi · International Journal of Intelligent Systems · 1994
This article further develops one branch of research initiated in an article by Resconi, Klir, and St. Clair (G. Resconi, G. J. Klir, and U. St. Clair, Int. J. Gen. Syst., 21(1), 23-50 (1992) and continued in another article by Resconi et al. (Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 1(1), 1993). It fully formulates an interpretation of the Dempster-Shafer theory in terms of the standard semantics of modal logic. It is shown how to represent the basic probability assignment function as well as the commonality function of the Dempster-Shafer theory by modal logic and that this representation is complete for rational-valued functions (basic assignment, belief, or plausibility functions). © 1994 John Wiley & Sons, Inc.