CAJ | 학술논문

针对具有不同粒度语言评价矩阵和属性未知的群决策问题,给出了一种基于二元语义和TOPSIS算法的群决策方法.在该方法中,首先给出了不同粒度语言评价矩阵一致化为由基本语言评价集表示的二元语义信息的方法;然后引入TOPSIS的方法,结合二元语义形式计算规则,确定未知的属性客观权重,利用二元语义集结算子,得到单个决策者对方案的评价值;再通过T-OWA算子对各决策者给出的评价信息进行集结和方案选优;最后给出了一个算例.
침대구유불동립도어언평개구진화속성미지적군결책문제,급출료일충기우이원어의화TOPSIS산법적군결책방법.재해방법중,수선급출료불동립도어언평개구진일치화위유기본어언평개집표시적이원어의신식적방법;연후인입TOPSIS적방법,결합이원어의형식계산규칙,학정미지적속성객관권중,이용이원어의집결산자,득도단개결책자대방안적평개치;재통과T-OWA산자대각결책자급출적평개신식진행집결화방안선우;최후급출료일개산례.
With respect to the group decision making problem with multi-granularity linguistic evaluation and information of attribute weight totally unknown,a method based on two-tuple and TOPSIS is proposed. In this method,firstly,a transformation function is given to uniform the multi-granularity evaluation matrix into the form of two-tuple linguistic information assessed in basic linguistic term set. Then,the method of TOPSIS is applied to ensure unknown attribute weight,based on the two-tuple aggregation operator and T-OWA operator selecting the most desirable alternative. Finally,an example is used to illustrate the use of the proposed approach.