直觉模糊集的熵公式比较与改进

魏翠萍,梁霞,张玉忠

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (11) : 1437-1448.

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PDF(346 KB)
系统科学与数学 ›› 2012, Vol. 32 ›› Issue (11) : 1437-1448. DOI: 10.12341/jssms12001
论文

直觉模糊集的熵公式比较与改进

    魏翠萍,梁霞,张玉忠
作者信息 +

A COMPARATIVE ANALYSIS AND IMPROVEMENT OF ENTROPY MEASURE FOR INTUITIONISTIC FUZZY SETS

    WEI Cuiping, LIANG Xia ,ZHANG Yuzhong
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摘要

对现有文献中直觉模糊集的熵公式进行了分类比较.根据熵公式是否描述直觉模糊集的模糊性和直觉性对现有熵公式进行分类,并通过数据分析指出了各类公式的优缺点. 最后提出了一个改进的直觉模糊集的熵公式, 研究了其性质, 与其它熵公式的比较说明了其合理性.此研究可为实际应用中直觉模糊熵公式的选择提供理论依据.

Abstract

Some existing entropy measures are analyzed and compared for intuitionistic fuzzy sets. Then these entropy measures are classfied according to whether they measure both fuzziness and intuitionism or not. By some numerical examples, their advantages and shortcomings are compared. Based on the above, a new entropy measure is proposed. The results provide a theoretical basis for the choice of entropy measures in practical applications of intuitionistic fuzzy sets.

关键词

直觉模糊集 / / 模糊性 / 直觉性

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魏翠萍,梁霞,张玉忠. 直觉模糊集的熵公式比较与改进. 系统科学与数学, 2012, 32(11): 1437-1448. https://doi.org/10.12341/jssms12001
WEI Cuiping, LIANG Xia ,ZHANG Yuzhong. A COMPARATIVE ANALYSIS AND IMPROVEMENT OF ENTROPY MEASURE FOR INTUITIONISTIC FUZZY SETS. Journal of Systems Science and Mathematical Sciences, 2012, 32(11): 1437-1448 https://doi.org/10.12341/jssms12001
中图分类号: 90B50   
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