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| 复球形模糊环境下的一种偏好提取模型的构造与应用 |
| The construction and application of a preference extraction model under the environment of complex spherical fuzzy |
| 投稿时间：2023-11-28 修订日期：2023-12-02 |
| DOI： |
| 中文关键词: 复球形模糊数 偏好提取 改进的得分函数 专家一致度 非线性规划 |
| 英文关键词: Complex spherical fuzzy number Preference extraction Improved score function Expert consistency Nonlinear programming |
| 基金项目:国家自然基金项目 |
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| 中文摘要: |
| 由于决策环境的日益复杂，专家与准则的偏好信息在决策过程中日益重要，因此为了更好更客观地处理决策信息，提出了一种复球形模糊数的新偏好提取方法并将其应用于多准则决策问题中。首先，针对在特殊情况下两个不同的复球形模糊数的得分却相同的问题，提出了一种区分效果更为优秀的改进得分函数，并证明其相关的一些性质；其次，针对以往研究中的专家偏好与准则偏好过于主观的缺点，提出了基于复球形模糊数新距离函数以及专家一致度的非线性规划用以客观地提取专家和准则的偏好信息，并将其与改进的得分函数用于MARCOS方法对方案进行排序；最后通过一个广告投递的意向人群选择问题说明了所提方法的可行性，有效性以及非线性规划提取偏好信息的客观性。 |
| 英文摘要: |
| Due to the increasingly complex decision-making environment, the preference information of experts and criteria is becoming more and more important in the decision-making process. Therefore, in order to deal with the decision-making information better and more objectively, a new preference extraction method of complex spherical fuzzy numbers is proposed and applied to multi-criteria decision-making problems. Firstly, aiming at the problem that the scores of two different complex spherical fuzzy numbers are the same in special cases, an improved scoring function with better distinguishing effect is proposed, and some related properties are proved. Secondly, in view of the shortcomings of expert preference and criterion preference in previous studies, a nonlinear programming based on complex spherical fuzzy number new distance function and expert consistency is proposed to objectively extract the preference information of experts and criteria, and it is used with the improved score function for MARCOS method to sort the schemes. Finally, the feasibility and effectiveness of the proposed method and the objectivity of extracting preference information by nonlinear programming are illustrated by an advertising delivery intention crowd selection problem. |
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