CAJ | 학술논문

针对准则值为区间灰数直觉模糊数、准则权系数部分已知以及自然状态出现概率为灰数的多准则决策问题，提出一种结合前景理论和改进TOPSIS的决策方法。该方法首先定义了灰色直觉模糊数的前景价值函数和概率权重函数，并利用前景理论构建出前景决策矩阵；接着从两个方面对传统TOPSIS决策方法进行改进：（1）过定义方案间综合差异的概念，采用离差最大化思想，建立平均综合差异最大化规划模型，给出了一种兼顾主客观权重信息确定准则权系数的新方法；（2）用灰关联替换备选方案与正负理想方案的距离，据此刻画了各方案与正负理想方案的贴近度。进而利用改进TOPSIS决策方法中的综合贴近度对方案进行了排序。最后通过实例验证了该方法的有效性。
침대준칙치위구간회수직각모호수、준칙권계수부분이지이급자연상태출현개솔위회수적다준칙결책문제，제출일충결합전경이론화개진TOPSIS적결책방법。해방법수선정의료회색직각모호수적전경개치함수화개솔권중함수，병이용전경이론구건출전경결책구진；접착종량개방면대전통TOPSIS결책방법진행개진：（1）과정의방안간종합차이적개념，채용리차최대화사상，건립평균종합차이최대화규화모형，급출료일충겸고주객관권중신식학정준칙권계수적신방법；（2）용회관련체환비선방안여정부이상방안적거리，거차각화료각방안여정부이상방안적첩근도。진이이용개진TOPSIS결책방법중적종합첩근도대방안진행료배서。최후통과실례험증료해방법적유효성。
This paper investigates the grey-probability multi-criteria decision-making problem in which the criteria value is interval grey-intuitionistic fuzzy number and the weighted coefficients are partially known .A decision-making approach based on improved TOPSIS and Prospect theory is proposed .This approach is composed of two steps:the first one is defining prospect value function and probability weighting function of grey intuitionistic fuzzy numbers and constructing prospects decision matrix via prospect theory , and the second one is ordering the corresponding alternatives by applying the complex closeness degree of the improved TOPSIS method .As for the TOPSIS we improve it in two aspects:On the one hand , we first define the concept of the difference between al-ternatives, and consequently construct a maximum average difference program model by using the idea of maximi -zing deviations , and then , a calculating weight method which satisfies the manager subjective information with the algorithm of maximum deviation is proposed .On the other hand , we use the degree of grey relational instead of applying the distance of positive-negative ideal solution to measure the closeness degree of distance between alternatives and positive-negative ideal solution .Finally , an example is provided to examine the effectiveness of our method.