[0，1]格上無限sup-product合成Fuzzy關(guān)系方程的解集的一些結(jié)果.pdf

1、四川師范大學(xué)碩士學(xué)位論文[0，1]格上無限supproduct合成Fuzzy關(guān)系方程的解集的一些結(jié)果姓名：楊海紅申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：王學(xué)平20080409SomeResultsoftheSolutionSetofInfinitesup—productFuzzyRelationalEquationson【0，1]LatticeMajor：BasicMathematicsWriter：“fangHai—hongSupe

2、rvisor：WangXue—pingAbstract：Inthispaper，theinfinitefuzzyrelationalequationsdefinedon10，11areinvestigatedFirst，somepropertiesofthesolutionsetoftheequation爿。x=b(w—here“o”denotess面一∥oductcomposition，A=(aj)jeJ，Jisaninfinites

3、et)aregivenwhenthedomainisaninfiniteseton0，1IFromthecoe伍cientsoftheequationA0X=b，itiSshownthatasu伍cientandnecessaryCOIlditionforexistE；nceofanattainablesolutionoranunattainablesolutionFurther，whenthesolutionsetisnonempty

4、thestructureofthesolutionsetoftheequationiSgivenNextthepropertiesofthesolutionsetofthefuzzyrelationalequationA0X=B(where“O”denotessup—produ西composition，A=(aij)，J，B=bi，(i∈I)，I=1，2，Jisaninfiniteset)aregivenwhenthedomainiSa

5、ninfiniteseton011AconceptofpartiallyattainablesolutioniSintroducedFromthecoe伍cientsoftheequationA0X=B，asufiicientandnecessaryconditionthatthesolutionsetlSnonemptylSobtained，andasuificientandnecessarycondition／ortheexmten

6、ceoIanattainablesolutionanunattainablesolutionorapartiallyattainablesolutionaTeshownInthe“e7nd，undersomecondition，minimalsolutionsareformulated，andthenumberofminimalsolutionsiSobtainedFurther，whentheSO—lutionsetisnonempt