运筹与管理
運籌與管理
운주여관리
Operations Research and Management Science
2015年
4期
288-294
,共7页
多属性决策%三角直觉模糊数%VIKOR方法%理想解
多屬性決策%三角直覺模糊數%VIKOR方法%理想解
다속성결책%삼각직각모호수%VIKOR방법%이상해
Multi-attribute decision making%Triangular intuitionistic fuzzy number%VIKOR method%Ideal solu-tion
针对备选方案的属性值为三角直觉模糊数且权重为实数的多属性决策问题,研究了三角直觉模糊数型VIKOR方法。首先,本文提出了一种基于偏好指标的三角直觉模糊数排序方法;其次,根据VIKOR方法的基本思想,提出了求解三角直觉模糊数型VIKOR方法的步骤,并在可接受优势和决策过程的稳定条件下对备选方案进行排序,得到折衷解;最后,在最大群体效用权重为0.5的情况下,用第三方物流服务商选择为例说明了该方法的有效性和可行性。
針對備選方案的屬性值為三角直覺模糊數且權重為實數的多屬性決策問題,研究瞭三角直覺模糊數型VIKOR方法。首先,本文提齣瞭一種基于偏好指標的三角直覺模糊數排序方法;其次,根據VIKOR方法的基本思想,提齣瞭求解三角直覺模糊數型VIKOR方法的步驟,併在可接受優勢和決策過程的穩定條件下對備選方案進行排序,得到摺衷解;最後,在最大群體效用權重為0.5的情況下,用第三方物流服務商選擇為例說明瞭該方法的有效性和可行性。
침대비선방안적속성치위삼각직각모호수차권중위실수적다속성결책문제,연구료삼각직각모호수형VIKOR방법。수선,본문제출료일충기우편호지표적삼각직각모호수배서방법;기차,근거VIKOR방법적기본사상,제출료구해삼각직각모호수형VIKOR방법적보취,병재가접수우세화결책과정적은정조건하대비선방안진행배서,득도절충해;최후,재최대군체효용권중위0.5적정황하,용제삼방물류복무상선택위례설명료해방법적유효성화가행성。
The aim of this paper is to extend VIKOR method which is a compromise ranking approach for multiple attribute decision making ( MADM ) problems for intuitionistic fuzzy multi-attributes analysis.VIKOR method with triangular intuitionistic fuzzy numbers is researched for solving MADM problems in which the ratings of alter-natives are expressed with triangular intuitionistic fuzzy numbers and the weights are real numbers.Firstly, a ranking method for triangular intuitionistic fuzzy numbers is proposed based on preference index.Secondly, ac-cording to the basic idea of VIKOR method, the steps of VIKOR method with triangular intuitionistic fuzzy num-bers are given, and then the compromise solution is obtained under the condition of acceptable advantage and ac-ceptable stability in decision making.Finally, the third party logistics providers selection example verifies the ef-fectiveness and feasibility of the proposed method when the weight of maximum group utility equals 0.5.