關(guān)于有序加權(quán)平均算子的一些新性質(zhì)和確定方法及其應(yīng)用.pdf

1、學(xué)位論文獨(dú)創(chuàng)性聲明本人鄭重聲明：所提交的學(xué)位論文是本人在導(dǎo)師指導(dǎo)下進(jìn)行的研究工作和取得的研究成果。本論文中除引文外，所有實(shí)驗(yàn)、數(shù)據(jù)和有關(guān)材料均是真實(shí)的。本論文中除引文和致謝的內(nèi)容外，不包含其他人或其它機(jī)構(gòu)已經(jīng)發(fā)表或撰寫過的研究成果。其他同志對(duì)本研究所做的貢獻(xiàn)均已在論文中作了聲明并表示了謝意。學(xué)位論文作者簽名：金求圣日期：6牛學(xué)位論文使用授權(quán)聲明研究生在校攻讀學(xué)位期間論文工作的知識(shí)產(chǎn)權(quán)單位屬南京師范大學(xué)。學(xué)校有權(quán)保存本學(xué)位論文的電子和紙質(zhì)

2、文檔，可以借閱或上網(wǎng)公布本學(xué)位論文的部分或全部?jī)?nèi)容，可以采用影印、復(fù)印等手段保存、匯編本學(xué)位論文。學(xué)?？梢韵驀矣嘘P(guān)機(jī)關(guān)或機(jī)構(gòu)送交論文的電子和紙質(zhì)文檔，允許論文被查閱和借閱。(保密論文在解密后遵守此規(guī)定)保密論文注釋：桫論文屬于保密論文，密級(jí)：翎一保密期限為么年。學(xué)位論文作者簽名：日期：指導(dǎo)教師簽名：日期：ABSTRACTABSTRACTThedeterminationofaggregationoperatorsisveryimport

3、antindecisionmaking；!theoryandtheprocessofobtainingacertainaggregationoperatorofteninvolvesthesubjectivepreferenceofsomedecisionmakerDifferentfromweightedaverage，；OrderedwdghtedAveraging(OWA)operatorspermittogivemoreweig

4、htstolow；[values，centralvaluesorhighvaluesinailorderedargumentssetbyalargevarietyof；quantitativemethodsOWAoperatorshavebeenappliedinmuchmanyareassuchasdecisionmaking，datamining，approximatereasoning，patternrecognitionTher

5、elated!：omessmeasureplaysanimportantroleintheresearchesofOWAoperators，bothinjtheoreticalstudiesandapplicationsTheornessmeasurereflectstheorlikeorandlike；aggregationresultwithanoWAoperatonObtainingowAoperatorsundergiven；；

6、ornessdegreeisalsoanimportanttopicintheOWAoperatorresearch，becausein；manysituations，beforeestablishingtheaggregation，apredetermineddegreeof；orness／andnesswithdecisionmaker’Spreferenceisneeded／desiredSomemethods；；consider

7、thisasconstrainedoptimizationproblemTheobjectivestobeoptimizedCan!bethedispersion，thevarianceandthetotalsquaredeviation，etcApartfromthoseobjectorienteddeterminationmethodsforowAweighting；vectors，therelationslyingbetweend

8、ifferentdeterminedOWAweighringvectorsplay!：animportantrolebothintheoriesandinpracticaluses，becausefromthedetermined；OⅥ廠Aoperatorswiththesameordifferentomesswecanarbitrarilycombinethemto；createanewOWAoperatorwiththedesire

9、dornessdegreeandpreferencesofdecisionmakersHence，thoseexplicitresultsandpropertiesunrevealedareveryappealingandcouldbeveryhelpfulbothinmathematicsandforpractitioners。Inthisbackground，；sometheoreticaldeductiveworkshavebee

10、nperformedinordertofindsome!unrevealedpropertiesrelatedtoOWAoperatorsStill，apartfromthesepropertiesinfurthertheoreticalstudiesthemselves，wepresenttheimmediateapplicationsaboutthesepropertiesrevealedasfaraspossible，eg，the

11、applicationsineducational!evaluationInthisthesis，wemainlyrevealsomenewpropertiesrelatedtoOWAoperators，eg，theinterweavingmachanism，bywhichaweightsgeneratingmethodbasedonaitypeofcomplexinterationforcomespecial0WAoperatorsi

12、sproposedAlso，some：newgenerationmethodsconcerningwell—knownCenteredOWAoperatorsare；suggestedandanalyzedFurthermore，asafuzzyalternativeofYager’Somessdefinition，weproposeanewdefinitioncalledfuzzyomess(fomess)tomeasurethe：d

13、egreeofoflikeofanOWAoperatorwhichcanwellextendthetraditionalorness；degreetoafuzzyeditionbycarryingmorefuzzyinformation；WiththeincreasinglynewlyfoundpropertiesandstructuresrelatedtoOWAoperators，moretheoreticalbasisandchoi