VAGUE集转化为FUZZY集方法及VAGUE集相似度量的研究

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1、厦门大学硕士学位论文Vague集转化为Fuzzy集方法及Vague集相似度量的研究姓名：王颖申请学位级别：硕士专业：系统工程指导教师：王周敬20070601AbstractTheobjectsinrealworldmaynothavepreciselydefinedcriteriaofmembershiptoaconcept．ThecantorsetCallnotdescribeinformation、析muncertainborderline．In1965，ProfessorZadehproposedthetheoryoffuzzyset．Afuz

2、zysetFisaclassofobjectsUalongwithagradeofmembershipfunction．Thismembershipfunction旷㈣assignseachobjectagradeofmembershiprangingbetweenzerotoone．Fuzzysethasbeenprovedtobeallexcellentmathematicaltoolfordealing、7l，itIluncertainandvagueobjects．Ithasbeenusedinmanyuncertaininformation

3、processingsystemssuccessfully'suchasfuzzycontrol，fuzzyexpertsystem，fuzzydecision-makingetc．Gauetaldevelopedtheconceptofvaguesetsin1993．VaguesetCandescribevagueinformationmuchbetterthanfuzzyset．Inthispaper,therelationshipofVaguesetandFuzzysetisanalyzedandtheproblemoftransforming

4、VaguesetintoFuzzysetisproposed．BasedontheFuzzyRoughSettheory，infuzzyinformationprocessing，basedonthefeaturesofVaguesetsandfuzzysets，takingvotingmodel嬲example,methodsfortransformingVaguesetsintofuzzysetsareanalyzedtomeasureFuzzyinformationignoranceinthispaper．Itisfoundtobeamany·

5、to·-onemappingrelationtotransformavaguesetintoafuzzyset．Finally,anewtransformationmethodispresented,anditsvalidityisexplainedbytakingexamples．Moreover,theapplicationofthenewmethodinMulticriteriaFuzzyDecisionMakingproblemsalediscussed．Similaritymeasureofvaguesetisoneofthemostimp

6、ortanttechnologiesinvariousapplicationsfieldsofvagueset．Severalsimilaritymeasuresareintroducedinthepaper,onthebasisofwhich，anewmethodofsimilaritymeasureisintroducedinthispaper,andprovedtosatisfytheaxiomdefmedabove．ComparedwiththemeasuresofsimilaritybetweenVaguesetsgivenbypresen

7、tarticles，themethodismoredifferentiated，rationalandclosetopeople’Sunderstanding．Keywords：Vaguesets；Transformationmethod：Similaritymeasure．厦门大学学位论文原创性声明兹呈交的学位论文，是本人在导师指导下独立完成的研究成果。本人在论文写作中参考的其他个人或集体的研究成果，均在文中以明确方式标明。本人依法享有和承担由此论文而产生的权利和责任。声明人(签名)：主菰加07年’7n7日厦门大学学位论文著作权使用声明本人完全了解

8、厦门大学有关保留、使用学位论文的规定。厦门大学有权保留并向国家主管部门或其指定机构送交论文的纸质版和电子版，