CAJ | 학술논문

针对准则值为区间直觉模糊数,准则权重分别为完全未知和部分已知的多准则决策问题,提出一种基于前景理论的决策分析方法.该方法给出一种新的记分函数（P-记分函数）,据此可将区间直觉模糊数转化为实数.利用前景理论,以零点为参考点计算前景值,构建前景决策矩阵.建立以综合前景值最大化为目标,以权重取值允许范围和决策者主观偏好为约束的优化模型,计算准则权重.结合前景决策矩阵及准则权重,计算各方案的综合前景值,并以此对方案进行排序.最后通过实例验证了该方法的有效性.
침대준칙치위구간직각모호수,준칙권중분별위완전미지화부분이지적다준칙결책문제,제출일충기우전경이론적결책분석방법.해방법급출일충신적기분함수（P-기분함수）,거차가장구간직각모호수전화위실수.이용전경이론,이영점위삼고점계산전경치,구건전경결책구진.건립이종합전경치최대화위목표,이권중취치윤허범위화결책자주관편호위약속적우화모형,계산준칙권중.결합전경결책구진급준칙권중,계산각방안적종합전경치,병이차대방안진행배서.최후통과실례험증료해방법적유효성.
This paper studies the multi-criteria decision-making problem where the criteria values of the alternatives are interval-valued intuitionistic fuzzy numbers and information of the criteria weights is incomplete or unknown. We provide a decision-making approach which is based on prospect theory. We define a new score function （P-score function） and consequently, the interval-valued intuitionistic fuzzy numbers can be transformed into the corresponding real numbers via this P-score function. The prospect decision-making matrix is constructed by calculating the prospect value of each alternative, which uses the zero as the reference point. In addition, we establish the combined weight optimization model in which the goal is based on maximizing the integrated prospect value and the subject conditions include the criteria weights＇ value being interval and decision-maker＇s subjective preference. According to this optimization model, we can calculate the coefficients of the criteria weights. Combining the prospect decision-making matrix with the criteria weights, we can order these alternatives by calculating the integrated prospect values. Finally, an example is illustrated to examine the effectiveness of our method.