Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 49, Issue 4, Pages 909-923Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2018.1554123
Keywords
Belief set; Cross entropy; Dempster-Shafer theory; Decision making
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Cross entropy is an important index for determining the divergence between two sets or distributions. Most existing cross entropy are proposed in a fuzzy environment and undefined in some uncertain situations (e.g., Dempster-Shafer theory). This study proposes an extended cross entropy measure of belief values based on a belief degree using available evidence. Thus, a new aspect of belief functions represents in the name of a belief set. Then, a new cross entropy measure between two belief sets is defined. Furthermore, the application of the cross-entropy measure in multi-criteria decision making (MCDM) is provided with belief valued information.
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