Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights
Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights
复制标题
直觉偏好关系的优先级划分和聚合：从直觉判断数据到优先级权重的基于乘法传递性的转换
DOI：
10.1007/s10726-016-9503-9
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发表时间：
2016-07
影响因子：
3
通讯作者：
Zhou-Jing Wang
中科院分区：
文献类型：
--
作者：
Yibin Zhang;Kevin W. Li;Zhou-Jing Wang
提出了一种从直觉偏好关系(IPRS)中获取直觉模糊权重的目标规划框架。提出了一个新的乘法传递性来定义相容知识产权。通过分析直觉模糊权与乘性一致性之间的关系，给出了归一化直觉模糊权到乘性一致性IPR的转换公式。通过最小化原始判断与转换后的乘性一致性IPR之间的绝对偏差，建立了两个线性目标规划模型，从IPR中获得个人决策和群体决策的直观模糊权重。在具有层次结构的多准则决策背景下，建立线性规划得到统一的准则权向量，并将其用于将局部直觉模糊权集结为全局优先权值以进行最终方案排序。给出了两个数值算例，验证了所提模型的有效性和适用性。
This article proposes a goal programming framework for deriving intuitionistic fuzzy weights from intuitionistic preference relations (IPRs). A new multiplicative transitivity is put forward to define consistent IPRs. By analyzing the relationship between intuitionistic fuzzy weights and multiplicative consistency, a transformation formula is introduced to convert normalized intuitionistic fuzzy weights into multiplicative consistent IPRs. By minimizing the absolute deviation between the original judgment and the converted multiplicative consistent IPR, two linear goal programming models are developed to obtain intuitionistic fuzzy weights from IPRs for both individual and group decisions. In the context of multicriteria decision making with a hierarchical structure, a linear program is established to obtain a unified criterion weight vector, which is then used to aggregate local intuitionistic fuzzy weights into global priority weights for final alternative ranking. Two numerical examples are furnished to show the validity and applicability of the proposed models.
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作者：
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通讯作者：
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影响因子：
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DOI：
10.1016/j.ins.2012.01.019
发表时间：
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期刊：
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影响因子：
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作者：
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通讯作者：
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