运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2012年
6期
171-176
,共6页
多属性决策%客观权重%证据推理%冲突证据%语言评估
多屬性決策%客觀權重%證據推理%遲突證據%語言評估
다속성결책%객관권중%증거추리%충돌증거%어언평고
multiple criteria decision making%objective weights%evidential reasoning%conflict evidence%linguistic evaluation
研究了语言环境下多属性决策问题属性权重的确定方法.在属性值以语言评估等级及其信度分布的形式给出,属性权重完全未知或部分未知的情况下,提出了两种基于证据间差异性的客观权重确定方法,基本原理为属性的评估值差异越小,其权重越小;差异越大,其权重也越大.提出了证据冲突矩阵和证据方差并用来量化证据间差异性,进而确定权重,并进一步研究了有属性偏好情况下属性权重确定方法,最后通过具体案例验证了方法的有效性.
研究瞭語言環境下多屬性決策問題屬性權重的確定方法.在屬性值以語言評估等級及其信度分佈的形式給齣,屬性權重完全未知或部分未知的情況下,提齣瞭兩種基于證據間差異性的客觀權重確定方法,基本原理為屬性的評估值差異越小,其權重越小;差異越大,其權重也越大.提齣瞭證據遲突矩陣和證據方差併用來量化證據間差異性,進而確定權重,併進一步研究瞭有屬性偏好情況下屬性權重確定方法,最後通過具體案例驗證瞭方法的有效性.
연구료어언배경하다속성결책문제속성권중적학정방법.재속성치이어언평고등급급기신도분포적형식급출,속성권중완전미지혹부분미지적정황하,제출료량충기우증거간차이성적객관권중학정방법,기본원리위속성적평고치차이월소,기권중월소;차이월대,기권중야월대.제출료증거충돌구진화증거방차병용래양화증거간차이성,진이학정권중,병진일보연구료유속성편호정황하속성권중학정방법,최후통과구체안례험증료방법적유효성.
Weights of attributes and decision makers are of great importance for multiple criteria decision making problems and multiple criteria group decision making problems .Techniques for weights of attributes of such prob -lems in linguistic setting are investigated .Two methods for determining objective weights based on diversities of evidences are proposed where performances of attributes take the form of basic belief assignment associated with linguistic grades, and the fundamental of which is that the smaller the diversity of evaluation of a certain attrib -ute, the smaller the weight of corresponding attribute , and vice versa.Matrices of conflicts of evidences and square deviations of evidences are introduced to quantify diversities among evidences and then weights are obtained.The method for deriving object weights is further presented when there exist preferences of attributes . An interactive method is presented to relieve the conflict between subjective preferences and objective derivation . The effectiveness of proposed methods is clarified by numerical case study and the consequent result of decision is consistent with decision made by existing methods .