Journal
INFORMATION SCIENCES
Volume 180, Issue 24, Pages 5130-5145Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2010.08.038
Keywords
Interval-valued intuitionistic fuzzy set; Information measure; Entropy; Divergence measure; Cross-entropy
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Funding
- National Natural Science Foundation of China [10971232, 60673191, 60873055]
- Natural Science Foundation of Guangdong Province [9151026005000002, 8151042001000005]
- Guangdong Province Planning Project of Philosophy and Social Sciences [09O-19]
- Guangdong Colleges and Universities Subject Construction Special fund
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A new information entropy measure of interval-valued intuitionistic fuzzy set (IvIFS) is proposed by using membership interval and non-membership interval of IvIFS, which complies with the extended form of Deluca-Termini axioms for fuzzy entropy. Then the cross-entropy of IvIFSs is presented and the relationship between the proposed entropy measures and the existing information measures of IvIFSs is discussed. Additionally, some numerical examples are given to illustrate the applications of the proposed entropy and cross-entropy of IvIFSs to pattern recognition and decision-making. (C) 2010 Elsevier Inc. All rights reserved.
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