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| 语言复p,q-阶正交对模糊集下基于交叉熵的改进 CODAS 方法 |
| Improved CODAS Method Based on Cross-Entropy under Linguistic Complex p,q-Rung Orthopair Fuzzy Sets |
| 投稿时间：2026-05-06 修订日期：2026-06-22 |
| DOI： |
| 中文关键词: 语言复p,q-阶正交对模糊集，幅度-相位联合交叉熵，改进CODAS，多属性决策，电动汽车锂离子电池选型 |
| 英文关键词: linguistic complex p,q-rung orthopair fuzzy set magnitude-phase joint cross-entropy improved CODAS multi-attribute decision-making electric vehicle lithium-ion battery selection |
| 基金项目:国家自然科学(72171002);安徽省省级质量工程项目(2023jyxm0101) |
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| 摘要点击次数: 233 |
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| 中文摘要: |
| 针对现有模糊集幂次对称难以刻画决策偏好、交叉熵忽略幅度-相位结构、CODAS阈值固定且几何距离易失效等问题，提出语言复 p,q-阶正交对模糊集下的改进CODAS方法。首先，定义语言复 p,q-阶正交对模糊集，以非对称幂次刻画隶属度与非隶属度。其次，构造幅度-相位联合交叉熵，将复模糊数的四维分量视为整体，弥补传统交叉熵结构关联缺失。再次，设计熵驱动的自适应组合测度：引入交叉熵乘性因子与加性项，依据全局平均交叉熵动态调整汉明距离阈值，解决CODAS阈值固定和几何距离失效问题。最后，通过电动汽车锂离子电池选型实例验证了方法的有效性。 |
| 英文摘要: |
| To address the issues that existing fuzzy sets with symmetric powers fail to capture decision preferences, cross-entropy measures ignore magnitude-phase structural information, and CODAS has fixed thresholds and is prone to geometric distance failure, an improved CODAS method under linguistic complex p,q-rung orthopair fuzzy sets is proposed. The linguistic complex p,q-rung orthopair fuzzy set is defined, where asymmetric powers characterize membership and non-membership degrees. A magnitude-phase joint cross-entropy is constructed, treating the four-dimensional components of complex fuzzy numbers as a whole to compensate for the structural correlation deficiency of traditional cross-entropy. An entropy-driven adaptive combined measure is designed, which introduces multiplicative and additive terms of cross-entropy and dynamically adjusts the Hamming distance threshold according to the global average cross-entropy, thus overcoming the fixed threshold and geometric distance failure of CODAS. Finally, a case study on electric vehicle lithium-ion battery selection validates the effectiveness of the proposed method. |
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