指数型犹豫模糊熵在多属性决策中的应用
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安庆师范大学 数理学院,安徽 安庆 246013

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E-mail: wangybng@126.com.

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O159;TP391

基金项目:

国家自然科学基金项目(61702012);安庆师范大学科研发展基金项目(100001104).


Application of exponential hesitation fuzzy entropy in multi-attribute decision making
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School of Mathematics and Physics,Anqing Normal University,Anqing 246013,China

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    摘要:

    提出一种指数型犹豫模糊熵,并基于熵权法给出犹豫模糊多属性决策模型.首先,给出犹豫模糊元熵的公理化定义,构造犹豫模糊元的指数型犹豫模糊熵测度公式,并证明指数型犹豫模糊熵测度公式满足犹豫模糊元熵的公理化定义基本准则.在此基础上,引入犹豫模糊集的熵定义和熵测度公式,并证明犹豫模糊集的指数型犹豫模糊熵测度公式同样满足犹豫模糊集熵的公理化定义基本准则.进一步将指数型犹豫模糊元熵测度公式与现有的犹豫模糊元熵测度公式进行对比分析,结果表明,所提出的指数型犹豫模糊元熵测度公式能更完整地确定犹豫模糊元的模糊性.最后,将指数型犹豫模糊熵测度公式运用到基于熵权法的犹豫模糊多属性决策模型,并通过具体案例分析指数型犹豫模糊熵的有效性和实用性.

    Abstract:

    This paper develops an exponential hesitation fuzzy entropy, and gives a hesitant fuzzy multi-attribute decision-making model based on the entropy weight method. Firstly, an axiomatic definition of exponential hesitant fuzzy element entropy and an exponential hesitation fuzzy element entropy measure formula are proposed. And the exponential hesitation fuzzy element entropy measure formula satisfying the four criteria in the axiomatic definition is proved. Furthermore, the entropy definition and entropy measure formula of hesitant fuzzy sets are derived, and it is proved that the exponential hesitant fuzzy set entropy measure formula also satisfys the four criteria in the axiomatic definition. The exponential hesitation fuzzy entropy is compared with the existing hesitation fuzzy entropy measure formula. The results show that the proposed exponential hesitation fuzzy entropy is more completely determine the fuzziness of hesitation fuzzy value. Finally, the exponential hesitant fuzzy entropy measure formula is applied to the hesitant fuzzy multi-attribute decision-making model, and an example of supplier selection is given to illustrate the effectiveness and practicability of the proposed exponential hesitation fuzzy entropy.

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王拥兵,苗妙.指数型犹豫模糊熵在多属性决策中的应用[J].控制与决策,2022,37(6):1460-1468

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  • 在线发布日期: 2022-04-22
  • 出版日期: 2022-06-20