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1、第24卷第6期2015年12月還籌0PERATIONSRESEARCH與AND管理MANAGEMENTSCIENCEV01.24.No.6Dec,2015區(qū)間猶豫模糊ELECTRE多屬性決策方法及應(yīng)用于倩,侯福均,翟玉冰,杜玉琴(北京理工大學(xué)管理與經(jīng)濟學(xué)院,北京100081)摘要:近年來,多屬性決策問題一直是廣大學(xué)者研究的重點,然而基于ELEcTRE方法的區(qū)間猶豫模糊多屬性決策問題的研究并不多見。因此,結(jié)合區(qū)間猶豫模糊集的信息表達(dá)優(yōu)勢和ELEcTRE方法的思想,提出了一種區(qū)間猶豫模糊ELECTRE(IVHFELECTRE)多屬性決策新方法。
2、首先構(gòu)造了區(qū)間猶豫模糊決策矩陣,引入得分函數(shù)和可能度的概念,構(gòu)造屬性優(yōu)勢集和屬性劣勢集。然后通過設(shè)定閾值得到綜合優(yōu)先判定矩陣,從而得到各方案間的優(yōu)先順序。為了進(jìn)一步得到各方案的整體排序,引入TOPsIs方法,通過計算各方案與正負(fù)理想點的相對距離來構(gòu)造綜合優(yōu)先矩陣,從而得到各方案的總體排序。最后通過具體實例驗證了該方法的可行性和合理性。關(guān)鍵詞:IVHFELECTRE方法;多屬性決策(MADM);區(qū)間猶豫模糊集(IVHFs);TOPSIs中圖分類號:c934文章標(biāo)識碼:A文章編號:1007.3221(2015)06.0016.09doi:10.
3、12005/o邢s.2015.0191ELECTRE-BasedMeasurefOrMuIt.-Attr.buteDecisionMakingUsingInten,aI—VaIuedHeSitantFuzzySetYUQian,HOUFu—jun,ZHAIYu_bing,DUYu—qin(Sc矗Doz曠M徹:昭emen£伽,dEco肋mics,Be彬增n5zizⅡ鈀∥死c^nDzDgy,Be彬,醬100081,C^i尼口)Abstract:Forthepastdecades,themulti.a(chǎn)ttributedecisionmakingp
4、roblemhasalwaysbeenthefocusofmanvscholars.However,thereisastillblankinusingtheELECTRE(E“minationEtChoiceTmnslatingReality)methodtosolvemulti-attributedecisionmaking(MADM)problemswithinten,a1.valuedhesitantfuzzyinfoma.tion.Bycombiningtheexpressionadvantageofinterval-valuedh
5、esitantfuzzysetsandtheideaoftheELECTREmethod,anintenral-valuedhesitantfuzzyELECTRE(IVHFELECTRE)methodisproposed.Firstly,theinter.val-valuedhesitantfhzzvdecisionmatrixisconstmcted.a(chǎn)ndtheconcordancesetanddiscordancesetaredefinedbyintroducingtheconceptofscorefhnctionandpossib
6、ility.Thencomprehensivejudgmentmatrixiscalculatedbysettingthethresholdvaluetoobtainthepref每rencerankingofthealternatives.Inordertofhrthergetovemllsortofthealternatives,theTOPSISmethodisintroduced.Andthecomprehensivepref色rencematrixisconstruc.tedbycalculatingthedistancebetw
7、eeneachaltemativeandtheidealpojnttoobtajnthecompleterankingofthealternatiVes.Finally,anillustratiVeexampleisgiVentoVerifythedevelopedapproachandtodemonstrateitspracticalityandeff色ctiveness.Keywords:IVHFELECTREmethod;multi-attributedecisionmaking(MADM);interval—valuedhesita
8、ntfuzzyset(IVHFS):TOPSISO引口多屬性決策問題廣泛地存在于各個領(lǐng)域和人們的日常生活中,一直以來成為人們研究的重點。收稿日期:2014—10.21基金項目:國