Journal
KNOWLEDGE-BASED SYSTEMS
Volume 48, Issue -, Pages 37-45Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2013.04.011
Keywords
Cross-entropy; Intuitionistic fuzzy entropy; IFSs; MRS; Parameters
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Funding
- NNSF of China [61073117]
- Academic Innovation Team of Anhui University [KJTD001B]
- Provincial Nature Science Research Key Project for Colleges and Universities of Anhui Province [KJ2013A033]
- Project of Graduate Academic Innovation of Anhui University [yfc100017, yfc100018]
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In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. (c) 2013 Elsevier B.V. All rights reserved.
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