A note on information entropy measures for vague sets and its applications |
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| Authors: | Qian-Sheng Zhang Sheng-Yi Jiang |
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| Affiliation: | aSchool of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China |
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| Abstract: | 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. |
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| Keywords: | Vague set Fuzziness measure Vague entropy Vague cross-entropy Divergence degree |
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