| 范玉蕊，王惠文*.基于改进相关系数的犹豫模糊集聚类分析[J].海南师范大学学报自科版,2023,36(4):369-375 |
| 基于改进相关系数的犹豫模糊集聚类分析 |
| Cluster Analysis of Hesitant Fuzzy Sets Based on Improved Correlation Coefficient |
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| DOI：10.12051/j.issn.1674-4942.2023.04.002 |
| 中文关键词: 犹豫模糊集 区间值犹豫模糊集 相关系数 犹豫度 聚类分析 |
| 英文关键词: hesitant fuzzy set interval-valued hesitant fuzzy set correlation coefficient hesitant degree cluster analysis |
| 基金项目:云南师范大学研究生科研训练基金项目（YJSJJ22-B93） |
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| 中文摘要: |
| 针对犹豫模糊集相关系数计算公式中可能存在分母为0的特殊情况，对相关系数公式重
新定义，并对犹豫模糊集之间的隶属度差异和犹豫度差异2个部分进行综合考虑，进一步将其推广至
区间值犹豫模糊集上，同时弥补了需要对数据进行主观填充这一不足之处，最后证明其良好性质，并
应用于数值算例中说明合理有效性。 |
| 英文摘要: |
| Aiming at the special situation that there may be a denominator of 0 in the calculation formula of the correlation
coefficient of the hesitant fuzzy set, the correlation coefficient formula is redefined, and the membership difference and the
hesitation difference between the hesitant fuzzy sets are comprehensively considered, and it is extended to interval-valued
hesitant fuzzy sets, which makes up for the need to subjectively fill the data, and finally its good properties are proved, and
it is applied to to numerical studies to illustrate its reasonable validity. |
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