線性多層規(guī)劃及其交互式模糊規(guī)劃法的研究.pdf

1、西南交通大學(xué)碩士學(xué)位論文線性多層規(guī)劃及其交互式模糊規(guī)劃法的研究姓名：胡明俊申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：黃天民20050301西南交通大學(xué)碩士研究生學(xué)位論文第1I頁AbStractLnrealdecisionmakingsystems，manyofthemarecharacterizedbymultilevelstepswhicharecalledasmultilevelprogramminginmathematicsmod

2、elSoitisimportnttostudythepropertiesofitintheoryandtofindefficientwaystoapplyitinrealityThemaincontributionsofthispapercanbesummarizedasfollows：First，thebackgroundandcurrentstateofthemultilevelprogrammingandfuzzysetstheo

3、ryisgivensimplyThen，thispapertakesasyntheticstudyofthelinearmultilevelprogrammingproblemAftertheintroducingofthepropertiesofonekindofspeciallinermultilevelprogramming，severalalgorithmswhichareappliedtothemultilevelprogra

4、mmingproblemaregivenAmongthem，thealgorithmwhichispresentedbyshih，etcisdiscussedparticularly，inwhichthesolvingalgorithmtotheinteractivemultilevelprogrammingproblemisinducedbytheapplicationofthemembershipfunctionofthefuzzy

5、setstheorytobilevelprogrammingproblemBecauseitistoocomplextohavethegoalsatisfactorydegreeandthedecisionvariablesatisfactorydegreetakenintoaccountinshih’Salgorithm，peoplemerelyusethegoalsatisfactorydegreeinfactIntheapplic

6、ationitiSimpossibleforthedecisionmakerstodeterminewhichvalueiStheoptimumvalue。SOthedecisionvariablesatisfactorydegreeisnotnecessaryactuallyMeanwhile，thevariablesatisfactorydegreeisnottakenintoaccountbecausethecomplexitya

7、ndvarianceincalculatingaccompanyingwithvariousmembershipvariablesaboutdecisionvariablewillariseiftherearevariousoptimumsolutionsinsolvingeachleveloptimumsolutionAtthelastofthispaper，thesolvingtotheassuranceproblemandthel