完備Brouwerian格上@-Fuzzy關(guān)系方程的極大解存在的一些條件.pdf

1、四川師范大學(xué)碩士學(xué)位論文完備Brouwerian格上@Fuzzy關(guān)系方程的極大解存在的一些條件姓名：李裕梅申請學(xué)位級別：碩士專業(yè)：運(yùn)籌學(xué)與控制論指導(dǎo)教師：王學(xué)平20030101SomeCoDditio璐oftheExisteⅡceofaMaximalSolutionforan@一FuzzyRelatiormlEqu“iononaCompleteBrouwer；anLattjceInthispaper，thesolutionsetofan

2、@nlzzyrdatIonalequationA@x=B0ncompleteBrou眥ri柚lattices(where，@isin‘凸compositi。n，A=(o甜)』xJ，圓=(璣)毛，Tr印res朗tsthetra璐positionofvectorB)isinve“igateddeeplyInthecaseof6nitedomains，when6ofeqationJ4@x=b(where，6∈工)isameetirreduci

3、bleeleme玎1tinL，“l(fā)maximalsolutionsofA@x=6areconstructed粕ditssolutionsetisestabl曲ed矗rstly；ThenlwheneverycomponentofBinA@x=Bi8meet—irreducible，allmaximalsolutionsofequationA@X=Bareconstructeda11ditss01utjonsetisgainedsubseq

4、uentl弘hlthebasesofabove，when6ofA@X=蚰asani訂屯ducible￡mtemeetdecompositioⅡ，aneess甜ya玎dsu幣cientconditionwmcllmakestheequation^@x=avesolutlonsisvermed，allitsma菇malsolutionsareco工lstructeda11ditssolutIonsetisc11aracterizedcorr

5、espondinglyFhrtherly’wheneverycomponentof日inA@x=Bhasanirreducible丘njtemeet—decomposition，“l(fā)maxima|solutionsofA@X=Bareoonstnlctedanditssolutionsetis出soglvenInthec部e0fin矗nitedoma證s，itispraventhattheree)(istsama】【im出solutio

6、nX‘ofH@x=6sudlthatx’蘭xforeverysolutionxofA@x=6ifthesolutionsetofA@X：6isunemptya工ld6hasanirredundaIlt。0mpletelymeetirredudbledecompositionItisalsoidentj矗edthatthere鼎istsam缸imal鰣utionx’of^@x=Bsuch出atx‘≥x‘呻everysolutionx0fA

7、@x=Bifthes01utionsetofd@x=日isuneⅡlptyandeverycomponentof口isdual—compacta11dh粥allirredundant6nite—decomposhionIntheend，anecssaryandsu幣ci朗tconditionthattbere“istsamaximaIsoIutionx。ofJ4@x=6suchthatx‘≥x矗)re垤rysolutionxof且@x=