摘要
针对含有不确定偏好序、不确定语言变量和残缺互补判断矩阵形式偏好信息的双边匹配问题,提出一种双边匹配决策方法。首先,对具有三种形式不确定偏好信息的双边匹配问题进行描述;然后,依据风险函数、可能度和非线性规划理论,结合不确定偏好序、不确定语言变量和残缺互补判断矩阵的特点构建序值计算规则,进而将三种形式偏好信息转化成序值向量,建立双边满意匹配优化模型;最后,通过算例验证了提出方法的可行性和有效性。
A decision making method is proposed to solve two-sided matching decision making problems withuncertain preference ordinal , uncertain linguistic and incomplete complementary judgement matrix preference information . Firstly, this study describes two-sided matching decision making problems with three forms of uncertain preference information. Secondly, on the basis of risk function, possibility degree and nonlinear programming theory, the calculating rules of ordinal number are confirme according to the characteristics of uncertain preference ordinal, uncertain linguistic and incomplete complementary judgement matrix. Then this three forms of preference information are converted into the ordinal number vector. An optimization model is constructed, where the objectives are two-sided satisfied matching. Finally, an example is given to demonstrate the feasibility and validity of the proposed method.
出处
《模糊系统与数学》
北大核心
2017年第4期108-116,共9页
Fuzzy Systems and Mathematics
基金
国家自然科学基金(71471087
71372080
71171112)
国家社科基金(15BGL056)
关键词
双边匹配
多种形式偏好
不确定偏好
稳定匹配
two-sided matching
multi-form preference
uncertain preference
stable matching
