犹豫模糊语言下考虑前景理论的双边匹配方法

A Bilateral Matching Method Considering Prospect Theory in Hesitant Fuzzy Language

针对犹豫模糊偏好信息下,考虑主体期望值的双边匹配问题,提出了一种基于前景理论的决策方法。通过对犹豫模糊语言偏好信息的处理,同时引入前景理论,并采用离差最大化方法求解属性权重,给出了综合前景价值的计算公式;构建了综合前景价值最大化的多目标规划模型,并转化为单目标规划模型进行求解得到匹配方案;最后通过求职者与岗位匹配的双边匹配实例分析说明了所提方法的实用性和有效性。

Aiming at the bilateral matching problem considering individual’s expectation value under hesitant fuzzy evaluation information circumstance, a decision-making method based on prospect theory is proposed. The process of this paper is organized as follows: At the beginning, we describe the way of scoring and measuring hesitant fuzzy language. Next, we derive the maximum deviation method for hesitant fuzzy language term sets to obtain criteria weights. Then, we introduce prospect theory into this paper and we give the formula of comprehensive prospect value, by which the multi-objective programming is constructed. Subsequently, the multi-objective programming model is converted into a single-objective programming model by the linear weighting method. Furthermore, the biunique matching proposal is obtained by the solution of the mentioned single-objective programming model. Feasibility and practicability of the proposed bilateral matching decision are proved by the matching example between employer and employee.