| 张月月，黄韩亮*.基于三角函数的犹豫模糊新距离测度[J].海南师范大学学报自科版,2023,36(1):7-16 |
| 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 |
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| DOI：10.12051/j.issn.1674-4942.2023.01.002 |
| 中文关键词: 犹豫模糊集 三角函数 距离测度 多属性决策 |
| 英文关键词: hesitant fuzzy set trigonometric function distance measure multi-attribute decision-making |
| 基金项目:国家自然科学基金项目（11871259）；福建省自然科学基金项目（2020J02043，2020J01801，2021J01984） |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| Distance measure was mainly used to measure the distance between different data. The distance measure com⁃
bined with trigonometric function has been successfully applied in the hesitant fuzzy set. In this paper,we proposed new dis⁃
tance 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. |
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