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

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C934, O159

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Application of exponential hesitation fuzzy entropy in multi-attribute decision making
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Anqing Normal University

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    摘要:

    本文针对现有的犹豫模糊熵存在的不足,提出了指数型犹豫模糊熵,并基于熵权法给出犹豫模糊多属性决策模型.首先,给出犹豫模糊熵的公理化定义,构造指数型犹豫模糊熵测度公式,证明指数型犹豫模糊熵满足犹豫模糊熵的公理化定义基本准则.在此基础上,引出犹豫模糊集的熵定义和熵测度公式.再将指数型犹豫模糊熵与现有的犹豫模糊元熵测度公式进行对比分析,结果表明,所提的指数型犹豫模糊熵更能完整的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了指数型犹豫模糊熵的有效性和实用性.

    Abstract:

    There are some shortcomings in the existing hesitation fuzzy entropy. Therefore, this paper develops an exponential hesitation fuzzy entropy, then gives a hesitant fuzzy multi-attribute decision-making model based on entropy weight method. Firstly, a new axiomatic definition of exponential hesitant fuzzy entropy and an exponential hesitation fuzzy entropy measure formula are proposed. And the exponential hesitation fuzzy 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. 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 illustrated the effectiveness and practicability of exponential hesitation fuzzy entropy.

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  • 收稿日期:2020-11-05
  • 最后修改日期:2021-03-24
  • 录用日期:2021-03-29
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