Abstract
Decision making is still an open issue in the application of Dempster-Shafer evidence theory. A lot of works have been presented for it. In the transferable belief model (TBM), pignistic probabilities based on the basic probability assignments are used for decision making. In this paper, multiscale probability transformation of basic probability assignment based on the belief function and the plausibility function is proposed, which is a generalization of the pignistic probability transformation. In the multiscale probability function, a factorqbased on the Tsallis entropy is used to make the multiscale probabilities diversified. An example showing that the multiscale probability transformation is more reasonable in the decision making is given.
Highlights
Since first proposed by Dempster [1] and developed by Shafer [2], the Dempster-Shafer theory of evidence, which is called Dempster-Shafer theory or evidence theory, has been paid much attention for a long time and continually attracted growing interests [3,4,5]
Multiscale probability transformation of basic probability assignment based on the belief function and the plausibility function is proposed, which is a generalization of the pignistic probability transformation
In the transferable belief model (TBM) [35], pignistic probabilities are used for decision making [36]
Summary
Since first proposed by Dempster [1] and developed by Shafer [2], the Dempster-Shafer theory of evidence, which is called Dempster-Shafer theory or evidence theory, has been paid much attention for a long time and continually attracted growing interests [3,4,5]. The basic rule of combination is Dempster’s rule of combination (orthogonal sum) It needs a normalization step in order to preserve the basic properties of the belief functions. One open issue of evidence theory is the decision making based on the basic probability assignments, and many works have been done to construct a reasonable model for the decision making. Because in some examples the pignistic transformation method produces results that appear to be inconsistent with Dempster’s rule of combination, Cobb and Shenoy [37] proposed a new plausibility transformation method for translating. A generalization of the pignistic probability transformation called multiscale probability transformation of basic probability assignment is proposed in this paper, which is based on the belief function and the plausibility function.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
