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| 区间值犹豫q阶正交模糊环境下基于Einstein-Bonferroni平均算子的多属性决策方法 |
| A Multi-Attribute Decision Making Method Based on Einstein-Bonferroni Mean Operator in Interval-Valued Hesitant q-Rung Orthopair Fuzzy Environment |
| 投稿时间：2025-06-26 修订日期：2025-06-26 |
| DOI： |
| 中文关键词: 区间值犹豫q-阶正交模糊集 Einstein t-范数 Bonferroni平均算子 信息量 多属性决策 |
| 英文关键词: Interval-valued hesitant q-rung orthopair fuzzy sets Einstein t-norm Bonferroni mean operator information quantity multi-attribute decision making |
| 基金项目:国家自然科学基金72171002,安徽省省级质量工程项目2023jyxm0101,安徽省药品监管科学研究重点项目AHYJ-KJ-202407 |
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| 中文摘要: |
| 在评估药品生产企业的信用风险过程中,决策者在判断风险时面临诸多不确定性因素,使得评估药品生产企业的信用风险被视为一个多属性决策问题。在本研究中,首先介绍了区间值犹豫q阶正交模糊集(IVHq-ROFS)的概念。其次,基于Einstein t-范数提出IVHq-ROFNs的运算规律,然后结合Bonferroni平均算子,提出了用于聚合IVHq-ROFNs的区间值犹豫q阶正交模糊Einstein-Bonferroni平均(IVHq-ROFEBM)聚合算子,并且讨论了算子的一些优良性质。接着,提出属性方差和协方差的概念后得到属性的信息量并以此来求属性偏好。最后,结合COPRAS方法对药品生产企业的信用风险进行排序说明了所提方法的实用性和有效性。 |
| 英文摘要: |
| In the process of evaluating the credit risk of pharmaceutical manufacturers, decision-makers face numerous uncertain factors in risk judgment, making the evaluation of credit risk for pharmaceutical manufacturers a multi-attribute decision-making problem. In this study, the concept of interval-valued hesitant q-rung orthopair fuzzy sets (IVHq-ROFS) is first introduced. Secondly, based on the Einstein t-norm, the operational laws of interval-valued hesitant q-rung orthopair fuzzy numbers (IVHq-ROFNs) are proposed. Then, by combining with the Bonferroni mean operator, an interval-valued hesitant q-rung orthopair fuzzy Einstein-Bonferroni mean (IVHq-ROFEBM) aggregation operator for aggregating IVHq-ROFNs is proposed, and some excellent properties of the operator are discussed. Subsequently, after proposing the concepts of attribute variance and covariance, the information quantity of attributes is obtained to derive attribute preferences. Finally, the COPRAS method is combined to rank the credit risks of pharmaceutical manufacturers, illustrating the practicality and effectiveness of the proposed method. |
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