运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2010年
1期
37-42
,共6页
樊治平%姜广田%张尧%张晓
樊治平%薑廣田%張堯%張曉
번치평%강엄전%장요%장효
多属性决策(MADM)%随机占优%ELECTREIII%多种信息形式
多屬性決策(MADM)%隨機佔優%ELECTREIII%多種信息形式
다속성결책(MADM)%수궤점우%ELECTREIII%다충신식형식
multiple attribute decision-making(MADM)%stochastic dominance%ELECTRE III
针对具有多种信息形式的多属性决策(MADM)问题,提出了一种决策分析方法.在本文中,首先描述了属性值为随机变量、清晰数和区间数三种信息形式的MADM问题;然后将这三种信息形式转化为带有累积分布函数的随机型信息的形式,并依据随机占优准则判断并确定两两方案之间比较的随机占优关系,在此基础上运用ELECTRE III级别高于关系方法得到方案的排序结果.最后,通过一个算例说明了本文给出方法的可行性和有效性.
針對具有多種信息形式的多屬性決策(MADM)問題,提齣瞭一種決策分析方法.在本文中,首先描述瞭屬性值為隨機變量、清晰數和區間數三種信息形式的MADM問題;然後將這三種信息形式轉化為帶有纍積分佈函數的隨機型信息的形式,併依據隨機佔優準則判斷併確定兩兩方案之間比較的隨機佔優關繫,在此基礎上運用ELECTRE III級彆高于關繫方法得到方案的排序結果.最後,通過一箇算例說明瞭本文給齣方法的可行性和有效性.
침대구유다충신식형식적다속성결책(MADM)문제,제출료일충결책분석방법.재본문중,수선묘술료속성치위수궤변량、청석수화구간수삼충신식형식적MADM문제;연후장저삼충신식형식전화위대유루적분포함수적수궤형신식적형식,병의거수궤점우준칙판단병학정량량방안지간비교적수궤점우관계,재차기출상운용ELECTRE III급별고우관계방법득도방안적배서결과.최후,통과일개산례설명료본문급출방법적가행성화유효성.
An approach is proposed to solve the multiple attribute decision-making (MADM) problems with multiple formats of information. In this paper,firstly,the description of the MADM problem with three formats of information such as stochastic variables,crisp numbers and interval numbers is given. Then,the three formats of information on attribute values are transformed into the formats of stochastic variables with cumulative distribution functions,and stochastic dominance relations between pairwise comparisons of alternatives are judged using the stochastic dominance rules. Furthermore,ELECTRE III method is used to obtain the ranking result of alternatives. Finally,a numerical example is used to illustrate the feasibility and validity of the approach proposed in this paper.