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中文摘要：
针对属性及属性权重均为区间直觉模糊数（IVIFN）的多属性匹配决策问题,提出一种匹配决策方法.首先根据区间直觉模糊数加权绝对值距离的定义,以逼近理想解法的思想,构建一方主体与另一方潜在对象最优匹配度的分式规划模型,并通过Charnes-Cooper变换,将原模型化为线性规划模型并求解模型得到双方的匹配度矩阵;然后,以匹配度最大为目标,建立一种双目标区间优化模型,通过线性加权转为单目标优化模型并求解得到匹配结果.最后,算例说明了所提方法的可行性和有效性.
英文摘要：
To address the problem of multi-attribute matching decision-making,in which both the attributes and attribute weights are interval-value intuitionistic fuzzy numbers（ IVIFNs）,we propose an approach for matching decision-making. Based on the definition of weighted absolute distance for IVIFNs,we develop fractional programming models to realize an optimal degree of matching between two-sided agents,using the order preference technique of similarity to reach an ideal solution. Via Charnes and Cooper transformations,we transform these nonlinear models into linear programming models. Then,by solving these models,we obtain intervalvalue matrices for the degree of matching. In addition,we develop a double-objective interval optimization model that maximizes the degree of matching on both sides. Using the linear weighted method,we convert these models into a single-objective optimization model. Matching results can then be reached by solving this model. An example analysis illustrates the validity and feasibility of the proposed method.
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