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时间:2019-11-22
《多方参与且评价指标集有差异的方案筛选方法.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、第23卷第4期运筹与管理Vol.23,No.42014年8月OPERATIONSRESEARCHANDMANAGEMENTSCIENCEAug.2014多方参与且评价指标集有差异的方案筛选方法1,211李铭洋,樊治平,尤天慧(1.东北大学工商管理学院,辽宁沈阳110819;2.沈宁大学商学院,辽宁沈阳110136)摘要:针对多方给出评价指标集存在差异情形的方案筛选问题,提出了一种基于软集理论的方案筛选方法。在该方法中,首先依据各方给出关于备选方案符合评价指标要求的可接受水平,构建各方相应的评价指
2、标子集,进而针对各备选方案符合评价指标要求的结果构建针对各方评价指标子集的软集;然后构建所有方案均符合全部指标要求的软集,进而通过各评价指标子集的软集与所有方案均符合全部指标要求的软集的积运算和算子运算,得到对应评价指标子集的每方可接受的备选方案集;进一步地,通过各方可接受的备选方案集间的并集运算及交集运算,可得到最终的方案筛选结果。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。关键词:管理科学;方案筛选方法;软集理论;评价指标;积运算;算子中图分类号:C934文章标识码:A文章编号:1
3、007-3221(2014)04-0080-07MethodforScreeningAlternativesConsideringDifferentEvaluationCriteriaSetsProvidedbyMultipleParticipants1,211LIMing-yang,FANZhi-ping,YOUTian-hui(1.SchoolofBusinessAdministration,NortheasternUniversity,Shenyang110819,China;2.Busi
4、nessSchool,LiaoningUniversity,Shenyang110136,China)Abstract:Amethodisproposedtosolvescreeningalternativesproblemsbasedonsoftsettheory,inwhichthecriteriasetsgivenbymultipleparticipantsaredifferent.Inthemethod,theevaluationcriteriasubsetsofeachparticip
5、antarefirstconstructedbasedontheacceptanceofwhicheachalternativesatisfiestherequirementsofevaluationcriteriagivenbyeachparticipant.Then,accordingtotheresultsthateachalternativesatisfiestherequirementsofevaluationcriteria,thesoftsetsfortheevaluationcr
6、iteriasubsetsofeachparticipantarecon-structed.Furthermore,thesoftsetthatallalternativessatisfytherequirementsofallevaluationcriteriaofmulti-pleparticipantsarebuilt,andbasedontheoperationsofproductandoperatorsbetweenthesoftsetsofevaluationcriteriasubs
7、etsandthesoftsetallalternativessatisfytherequirementsofallevaluationcriteriaofmultiplepartici-pants,thealternativessetsofeachevaluationcriteriasubsetsacceptedbyeachparticipantcanbeobtained.And,accordingtotheunionandintersectionoperationbetweenthealte
8、rnativessetsinwhichtheeachalterna-tivessetisacceptedbyeachparticipant,theultimatealternativessetpassingscreeningcanbeobtained.Finally,anumericalexampleisgiventoillustratethefeasibilityandvalidityoftheproposedmethod.Keywords:managementscience;methodfo
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