运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2013年
2期
129-134
,共6页
系统工程%逆DEA模型%区间灰数%DEA有效%可信度
繫統工程%逆DEA模型%區間灰數%DEA有效%可信度
계통공정%역DEA모형%구간회수%DEA유효%가신도
system engineering%inverse DEA Model%grey interval data%DEA effective%credibility degree
初步研究了变量为区间灰数的逆 DEA 模型.变量为区间灰数时,决策单元效率水平保持不变表达为:对决策单元的输入输出值改变前后对应的灰区间效率进行比较,前者大于等于后者与小于等于后者的可信度相等(均等于0.5).给出了决策单元非 DEA 有效时,灰区间变量逆 DEA 模型解存在的充要条件及一般表达式,以及决策单元弱 DEA 有效时灰变量逆 DEA 模型的部分解.
初步研究瞭變量為區間灰數的逆 DEA 模型.變量為區間灰數時,決策單元效率水平保持不變錶達為:對決策單元的輸入輸齣值改變前後對應的灰區間效率進行比較,前者大于等于後者與小于等于後者的可信度相等(均等于0.5).給齣瞭決策單元非 DEA 有效時,灰區間變量逆 DEA 模型解存在的充要條件及一般錶達式,以及決策單元弱 DEA 有效時灰變量逆 DEA 模型的部分解.
초보연구료변량위구간회수적역 DEA 모형.변량위구간회수시,결책단원효솔수평보지불변표체위:대결책단원적수입수출치개변전후대응적회구간효솔진행비교,전자대우등우후자여소우등우후자적가신도상등(균등우0.5).급출료결책단원비 DEA 유효시,회구간변량역 DEA 모형해존재적충요조건급일반표체식,이급결책단원약 DEA 유효시회변량역 DEA 모형적부분해.
Inverse DEA model with grey interval data is researched preliminarily .We compare the efficiency in-terval of the evaluated decision making unit after changing the inputs or outputs with its original efficiency inter -val.If the credibility degree of the latter equal or greater than the former is equivalent to the credibility degree of the latter less or equal to the former, then it is considered that the efficiency level of the evaluated decision mak -ing unit remains unchanged; when the evaluated decision making unit is non DEA effective , the sufficient and necessary conditions for existence of solution to inverse DEA model with grey interval data and the solution ex -pressions are given; when the evaluated decision making unit is weak DEA effective , partial solutions are shown.
