模糊集距離空間的完備可分性及其在大數(shù)定律中的應(yīng)用.pdf

1、北京工業(yè)大學(xué)碩士學(xué)位論文模糊集距離空間的完備可分性及其在大數(shù)定律中的應(yīng)用姓名：朱榮鋒申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：李壽梅20050501北京工業(yè)大學(xué)理學(xué)碩士學(xué)位論文AbstractInthispaper，firstlywegivesomebackgroundaboutfuzzysetsWemainlystudythecompletenessandseparabilityofthespacesoffuzzysetswi

2、thdifferentmet—ricsSofar，weknowthatthefuzzysetspace(n(形)dy)and與(Fkc(彤)，婿)arecompletebutnotseparable，and(F^(R“)，f啊)and(Fkc(R“)，昂)，(F女(R“)，略)(p≥1)，and(Fkc(R“)，舀)(p≥1)areseparablebutnotcompleteHowevertwhenwediscussthelimitt

3、heoremsoffuzzyset—valuedrandomvariables，weoftenneedthecompletenessandseparabilityofspacesThusitisnecessarytocorrectthemetricdefinitionsInthispaperwecorrectthemetricdefinitionsandthenWprovethespacesoffuzzysetsbecomecomple

4、teandseparablespaceswithrespecttothecorrectedmetricsSecondlywegivesomefactsonweaklawsoflargenumbers(WLLN)forfuzzyset—valuedrandomvariablesThen，wegivefeasibilityandhldispensablityofdiscussingWLLNinthesensesofcorrectedmetr

5、icsHere，wefocusontheresultsofthenecessaryandsufficientconditionsofWLLNforfuzzysetvaluedrandomvariablesinthepaperof【57】in2004WeobtaintheWLLN’Sforthefuzzysetvaluedrandomvariablesinthesenseof贍andtheninthecorrectedmetric囂int