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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >A Method of Uncertainty Measurements for Multidimensional Z-number and Their Applications
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A Method of Uncertainty Measurements for Multidimensional Z-number and Their Applications

机译：A Method of Uncertainty Measurements for Multidimensional Z-number and Their Applications

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摘要

Z-number provides the reliability of evaluation information, and it is widely used in many fields. However, people usually describe things from various aspects, so multidimensional Z-number has more advantages over traditional Z-number in describing evaluation information. In view of the uncertainty of the multidimensional Z-number, the entropy of multidimensional Z-number is defined and an entropy formula of multidimensional Z-number is established. Furthermore, the entropy is used to construct an average operator of multidimensional Z-numbers. In addition, a novel distance measure is introduced to measure the distance between two multidimensional Z-numbers. Moreover, the group decision model in the multidimensional Z-number environment is constructed by combining the average operator with the TOPSIS decision-making method. Finally, an illustrative example is given to verify the feasibility and effectiveness of the proposed method.

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