Journal
INFORMATION SCIENCES
Volume 178, Issue 21, Pages 4184-4191Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2008.07.003
Keywords
vague set; fuzziness measure; vague entropy; vague cross-entropy; divergence degree
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Funding
- National Natural Science Foundation of China [60673191]
- Team Project of Guangdong University of Foreign Studies [GW2006-TB-002]
- Youth Research Foundation of Guangdong University of Foreign Studies [GW20052017]
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A new nonprobabilistic entropy of a Vague set is proposed by means of the intersection and union of the membership degree and nonmembership degree of the vague set. The concept called vague cross-entropy of vague sets will also be discussed and its definition is given by analogy with the cross-entropy of probability distributions. Finally, two numeric examples are presented to illustrate the applications of vague cross-entropy to pattern recognition and medical diagnosis. (C) 2008 Elsevier Inc. All rights reserved.
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