模糊k-擬傳遞陣以及可Θ分解的模糊關(guān)系.pdf

1、四川師范大學(xué)碩士學(xué)位論文模糊k擬傳遞陣以及可Θ分解的模糊關(guān)系姓名：何勁濤申請(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20080409ThekQuasitransitiveFuzzyMatricesandthee—decomposableFuzzyRelationsMajor：BasicMathematicsWriter：HeJintaoSupervisor：WangXuepingAbstract：Inthispaper，thekqu

2、asitransitivefuzzymatricesandtheedecomposablefuzzyrelationsarediscussedThekquasi—transitivefuzzymatrixisintroducedfirstly，therelationshipbetweenthekquasitransitivefuzzymatricesandothertransitivefuzzymatricesaregivenalso，

3、thenanecessaryandsufficientconditionforafuzzymatrixtobekquasitransitiveisgivenTheconsistencybetweenthekquasitransitivefuzzymatricesandtheircutmatricesisinvestigatedandsomepropertiesareshown，therelationshipbetweenthekquas

4、itransitivefuzzymatricesandthecontrollablefuzzymatricesisdiscussedNext，aOdecomposablefuzzyrelationonf0，1】isintroduced，namelyletR∈F(Xy)，ifthereexisttwofuzzysetsA∈F(x)andB∈F(Y)suchthatR=AOBwithR(z，Y)=(AOB)(x，Y)=A(x)OB(y)fo

5、ra11(z，Y)∈XY，thenRiScallededecomposable，twonecessaryandSU伍cientconditionsthatafuzzyrelationRiSOdecomposablearegiven，thenthesolutionsetofAandBwithR=AeBisobtainedKeywords：Fuzzymatrix；kQuasitransitivefuzzymatrix；Solutionset