计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
7期
116-120
,共5页
孟明强%郝飞龙%王志丽%李德清
孟明彊%郝飛龍%王誌麗%李德清
맹명강%학비룡%왕지려%리덕청
可信性理论%数据包络分析%模糊机会约束%效率分析
可信性理論%數據包絡分析%模糊機會約束%效率分析
가신성이론%수거포락분석%모호궤회약속%효솔분석
credibility theory%Data Envelopment Analysis(DEA)%fuzzy chance-constrained%efficiency analysis
为求解模糊环境下输出倾向的数据包络分析(DEA)模型,利用可信性测度建立了一类新的输出倾向的可信性DEA(CDEA)模型,其中目标函数采用了模糊机会约束规划的概念,且所有的约束条件中都含有模糊输入和模糊输出数据。当模糊输入和模糊输出数据为相互独立的梯形模糊变量时,把所建立的CDEA模型转化为其清晰等价形式,进而研究了模型的两个基本性质;通过一个应用实例来说明所建立CDEA模型的有效性。
為求解模糊環境下輸齣傾嚮的數據包絡分析(DEA)模型,利用可信性測度建立瞭一類新的輸齣傾嚮的可信性DEA(CDEA)模型,其中目標函數採用瞭模糊機會約束規劃的概唸,且所有的約束條件中都含有模糊輸入和模糊輸齣數據。噹模糊輸入和模糊輸齣數據為相互獨立的梯形模糊變量時,把所建立的CDEA模型轉化為其清晰等價形式,進而研究瞭模型的兩箇基本性質;通過一箇應用實例來說明所建立CDEA模型的有效性。
위구해모호배경하수출경향적수거포락분석(DEA)모형,이용가신성측도건립료일류신적수출경향적가신성DEA(CDEA)모형,기중목표함수채용료모호궤회약속규화적개념,차소유적약속조건중도함유모호수입화모호수출수거。당모호수입화모호수출수거위상호독립적제형모호변량시,파소건립적CDEA모형전화위기청석등개형식,진이연구료모형적량개기본성질;통과일개응용실례래설명소건립CDEA모형적유효성。
In order to solve the output-oriented Data Envelopment Analysis(DEA)model in fuzzy environment, based on credibility theory, this paper provides the output-oriented Credibility DEA(CDEA)mode, in which the concept of fuzzy chance-constrained programming is adopted on objective function and all constraints have fuzzy inputs and fuzzy outputs. In some special cases, such as the fuzzy inputs and fuzzy outputs are independent trapezoidal fuzzy variables, this kind of CDEA model can be changed into the crisp equivalent class. Furthermore, two basic properties about the proposed CDEA model are discussed. At last, a numerical example is given to illustrate the effectiveness of the proposed CDEA model.