灰色多属性决策若干问题探讨

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1、ABSTRACTSTUDYoNGREYMULTIPLEATTRIBUTEDECISIoNMAKINGPROBLEMSWiththedevelopmentofsocietyandtheprogressofscienceandtechnology，multipleattributedecisionmakingisanimportantconstituentpartinthemoderndecisionmakingscience，anditstheoryandmethdsarewidelyappliedtomanyfieds，suchaseconom

2、ics，management，engineering，medicine，military，andSOforth．Becauseofthecomplexityoftheobjectiveworld，theuncertaintyoftheenvironmentandthelimitationofhumancapabilities，thedecision-makeroftenproducethedecisioninformationintheformofintervalgreynumberwith”thesmallsample，thepoorinfo

3、rmation”，andtheresearchobjectofgreysystemtheoryistheuncertainsystemwhoseinformationispartlyknowableandpartlyunknowable，throughthepartoftheknowninformationtodevelopandunderstandingofthedevelopmentrulesofthings．Sothispaperistohaveadiscusseonproblemsofthegreymultipleattributede

4、cisionmakingonthebasisofgreysystemtheoryandthemultipleattributedecisionmakingmethod．Themainresearchresultsareasfollows：(1)Theelementaryknowledgeofthegreymultipleattributedecisionmakingtheoryisstudied．Thispaperdiscussesthedefinitionandthecalculationruleofintervalgreynumber，gi

5、vesthedefinitionofthegreywhiteningweightfunctionvalueandthegreydegree，summarizesthestandardizedprocessingmethodsoftheintervalgreynumberdecisionmatrix，andconvertsthecosttypeattributeintotheefficiencyattributethroughanewlineartransformationmethod．Additionally，threemoreclassicm

6、ulti—attributedecisionmethodsareintroduced．(2)Forthegreymultipleattribute(orgroup)decisionmakingproblemswiththekownattributeweights，theTOPSIS(TechniqueforOrderPreferencebySimilaritytoIdealSolution)andtheGreyrelationaldgreedecisionmethodareexpandedtosolvetheintervalgreynumber

7、multipleattribute(orgroup)decisionmakingproblems，andthenagreymultipleattribute(orgroup)decisionmakingmethodisputforwardedonthebasisoftheEuclideandistanceandthegreyrelationaldegree，finally，theabovemethodsarecomparativetlyanalyzedbyanexample．Fortheproblemsofthegreymulti—attrib

8、uteriskdecisionmaking，theposttiveandnegativeidealschemesaredefinedindiffere