基于三角函数的犹豫模糊新距离测度

New Distance Measure of Hesitant Fuzzy Set Based on Trigonometric Function

距离测度主要用于度量不同数据之间的距离,结合三角函数的距离测度也被成功地应用于犹豫模糊集上。本文提出了基于正弦、余弦和正切函数的犹豫模糊距离测度以及含偏好的距离测度并验证了其优良性质;最后,提出了2种犹豫模糊多属性决策方法,并通过能源政策选择的案例验证了所提方法的有效性和实用性。

Distance measure was mainly used to measure the distance between different data. The distance measure combined with trigonometric function has been successfully applied in the hesitant fuzzy set. In this paper,we proposed new distance measures based on the hesitant fuzzy set of sine, cosine and tangent functions, and distance measure with preference information. Further, the properties of the proposed distance measure were discussed. Finally, two multi-attribute decision making methods based on hesitant fuzzy sets were proposed. The effectiveness and practicality of the proposed methods were demonstrated by the example of energy policy selection.