权重信息不完全的区间数多属性决策GRA方法-豆柴文库

您所在位置：网站首页 / 权重信息不完全的区间数多属性决策GRA方法.docx / 文档详情

在线预览结束，喜欢就下载吧，查找使用更方便

5 金币

下载文档

/ 2

下载提示

如果您无法下载资料，请参考说明：

1、部分资料下载需要金币，请确保您的账户上有足够的金币

2、已购买过的文档，再次下载不重复扣费

3、资料包下载后请先用软件解压，在使用对应软件打开

文本预览

权重信息不完全的区间数多属性决策GRA方法
Introduction:
Multipleattributedecision-making(MADM)istheprocessofselectingafeasiblealternativefromasetofalternativeswithmultiplecriteria.ThewidelyusedMADMmethods,suchasTOPSIS,AHPandPROMETHEE,assumethatthecriteriaweightsarefullyknownandaccurate.However,inreal-worlddecision-makingproblems,thecriteriaweightsaresometimesambiguousoruncertain.Forexample,inasupplierselectionproblem,thedecision-makermaynotknowtheimportanceofeachcriterion,ortheimportancemayvarydependingonthespecificcontextofthedecision.Insuchcases,theGeneralizedRoughApproximation(GRA)methodisusedtoanalyzethedecisionproblemandprovideasolution.
GRASmethod:
TheGRAmethodisanextensionoftheRoughApproximation(RA)approach.TheRAapproachisusedfortheevaluationofthelowerandupperapproximationvaluesofagivendecision-makingproblembasedontheconsistencyandinconsistencymeasuresofinformation.InGRA,theideaistoconstructamultiple-attributeutilityfunctionwhoseparametersaredefinedbasedontheuncertaintymeasuresofinformation.GRAisparticularlyusefulindecision-makingproblemswherethecriteriaweightsareambiguousornotfullyknown.
ApplicationofGRAmethod:
TheGRAmethodhasbeensuccessfullyappliedinvariousfieldssuchassupplierselection,projectevaluation,andenvironmentalimpactassessment.Forexample,inthesupplierselectionproblem,thedecision-makermaywanttoconsidertheprice,deliverytime,andqualityoftheproduct.However,itisdifficulttoassignaccuratevaluestotheweightsofthesecriteriaastheymaynotbeknownwithcertainty.ThroughGRA,thedecision-makercanevaluatethealternativesbasedontheroughsettheoryandidentifythemostdesirablesupplier.
Intheprojectevaluationproblem,GRAmethodcanbeusedtoevaluateprojectswithuncertainweights.Forinstance,inaconstructionproject,thedecision-makermaynotknowthepreciseweightofeachcriterionsuchasprojectduration,cost,andquality.GRAcanbeusedtodeterminetheweightsofthesecriteriabyevaluatingdifferentscenariosandidentifyingthemostdesiredproject.
EnvironmentalimpactassessmentisanotherareawhereGRAcanbeused.Forexample,whenevaluatin