CAJ | 학술논문

针对属性权重不完全确定且属性偏好值为区间直觉模糊数的多属性决策问题，提出一种基于前景理论和量子进化算法的模糊多属性决策方法。该方法根据前景理论及模糊数距离公式，定义区间直觉模糊数的前景价值函数，同时将决策者对方案的风险偏好纳入决策行为中，以此来构建方案综合前景值最大化的非线性规划模型。通过引入量子进化算法，求解模型得出最优权重向量。最终根据方案前景值确定出方案的排序。该方法适用于模糊决策环境，能满足决策者不提供确定属性权重的要求，并充分考虑决策者风险心理因素对决策行为的影响，具有广泛的应用价值。数值算例说明了该方法的有效性和可行性。
침대속성권중불완전학정차속성편호치위구간직각모호수적다속성결책문제，제출일충기우전경이론화양자진화산법적모호다속성결책방법。해방법근거전경이론급모호수거리공식，정의구간직각모호수적전경개치함수，동시장결책자대방안적풍험편호납입결책행위중，이차래구건방안종합전경치최대화적비선성규화모형。통과인입양자진화산법，구해모형득출최우권중향량。최종근거방안전경치학정출방안적배서。해방법괄용우모호결책배경，능만족결책자불제공학정속성권중적요구，병충분고필결책자풍험심리인소대결책행위적영향，구유엄범적응용개치。수치산례설명료해방법적유효성화가행성。
This paper presents a multi-attribute sorting method applied to problem whose information on weights is partly known and attribute values are interval intuitionistic fuzzy numbers. The method is based on prospect theory and quantum evolu-tion algorithm. According to prospect theory and fuzzy numbers’distance formula, it defines interval intuitionistic fuzzy numbers’ prospect value function. Meanwhile, it brings decision makers’risk preference of project into decision-making behavior. The nonlinear programming model based on projects’comprehensive prospect value maximization can be constructed. By putting quantum evolution algorthm, the optimal weight vector of model can be solved. The projects’comprehensive prospect values deter-mine the order. This method is applied to fuzzy decision making environment, can meet decision makers who do not provide deter-mining attribute weights, and fully consider risk psychological factor’s influence on decision behavior. Thus it has wide range of application value. At the end, a numerical example shows the effectiveness and feasibility of the method.