Goal programming approaches to deriving interval weights based on interval fuzzy preference relations
Goal programming approaches to deriving interval weights based on interval fuzzy preference relations
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DOI：
10.1016/j.ins.2012.01.019
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发表时间：
2012-06
期刊：
影响因子：
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通讯作者：
Zhou-Jing Wang;Kevin W. Li
中科院分区：
文献类型：
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作者：
Zhou-Jing Wang;Kevin W. Li
基于区间算术研究了区间模糊偏好关系的一致性，给出了加性一致、乘性一致和弱传递区间模糊偏好关系的新定义。提出了将归一化区间权重转换为一致区间模糊偏好关系的转换函数。通过分析区间权重与一致区间模糊偏好关系之间的关系，建立了基于目标规划的区间模糊偏好关系求解区间权重的模型，并将其应用于个体决策和群体决策.通过一个算例和一个国际交换博士生选拔问题说明了所提出的模型。
This article investigates the consistency of interval fuzzy preference relations based on interval arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent and weakly transitive interval fuzzy preference relations. Transformation functions are put forward to convert normalized interval weights into consistent interval fuzzy preference relations. By analyzing the relationship between interval weights and consistent interval fuzzy preference relations, goal-programming-based models are developed for deriving interval weights from interval fuzzy preference relations for both individual and group decision-making situations. The proposed models are illustrated by a numerical example and an international exchange doctoral student selection problem.