Strategic Study of CAE >> 2004, Volume 6, Issue 10
Rule-base Self-extraction and Simplification for Fuzzy Systems
1. School of management , Chinese University of Geosciences , Wuhan 430074 , China
2. Xuchang Vocational Technical college , Xuchang , Henan 461000 , China
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Abstract
In this paper, a fuzzy model algorithm for a rule-base self-extraction and simplification is introduced. The method consistes of three steps: The first step is to classify the out-in space by constructing a fuzzy partition validity index, then the optimal number of dusters and, hence, the optimal number of rules are obtained; The second step is to construct the initial fuzzy system based on the optimal number of rules and neural networks; The third step is to get the function of computing similarity of fuzzy sets by fuzzy similarity analysis method. The similar fuzzy sets are merged to create a common fuzzy set in rule base based on threshold value. Thus a fuzzy system with interpretability and simplicity is obtained. At last, the fuzzy rules of productivity factor of China is extracted by the fuzzy system.
Keywords
similarity measures ; fuzzy model ; fuzzy rules ; fuzzy sets
References
[ 1 ] MDelgado, AFGomezSkarmeta, FMartin.Afuzzyclustering basedrapidprototypingforfuzzyrule basedmodeling[J].IEEETransFuzzySystems, 1997, 5 (2) :223~233
[ 2 ] YFukuyama, MSugeno.Anewmethodofchoosingthenumberofclustersforthefuzzyc meansmethod[A].Proc5thFuzzySystSymp[C].Japan, 1989.247~250
[ 3 ] JRJang.ANFIS :adaptivenetwork basedfuzzyinferencesystem[J].IEEETransSystManCybernet, 1993, 23 (4) :665~684
[ 4 ] VdeOliveira.Semanticconstraintsformembershipfunctionoptimization[J].IEEETransSMC A , 1999, 29 (1) :128~138
[ 5 ] MSetnes, RBabuska, HVerbruggen.Rule basedmodeling:precisionandtransparency[J].IEEETransSMC C , 1998, 28 (1) :165~170
[ 6 ] CTChao, YJChen, CCTeng.Simplicationoffuzzyneuralsystemsusingsimilarityanalysis[J].IEEESMC B , 1996, 26 (2) :344~354
[ 7 ] YJin.Fuzzymodelingofhigh dimensionalsystems:complexityreductionandinterpretabilityimprovement[J].IEEETransFuzzySystems, 2000, 8 (2) :212~221
[ 8 ] JCBezdek.Clustervaliditywithfuzzysets[J].JCybernet, 1974, 3 (3) :58~72
[ 9 ] JCBezdek.PatternRecognitionwithFuzzyObjectiveFunctionAlgorithms[M ].Plenum, NewYork, 1981
[10] MinYouChen, DALinkens.Rule baseself generationandsimplicationfordata drivenfuzzymodels[J].FuzzySetsandSystems, 2004, 142:243~265
[11] CTLin, CSGLee.Reinforcementstructure/parameterlearningforneural networkbasedfuzzylogiccontrolsystems[J].IEEETransFuzzySystems, 1994, 2 (1) :46~63
[12] 诸克军, 王小刚, 匡奕军.基于模糊系统的教育经济贡献率的预测和评价[J].系统工程理论方法应用, 2002, 11 (2) :169~172 link1
[13] MulliganC , Sala iMartinX .Alabor income basedmeasureofthevalueofhumancapital:anapplicationtothestatesoftheUnitedStates[J].JapanandtheWorldEconomy, 1997, 9 (2) :159~191
[14] ByeongjuJeong.Measurementofhumancapitalinputacrosscountries:amethodbasedonthelaborer’sincome[J].JournalofDevelopmentEconomics, 2002, 67:333~349