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1、實用文案基于加權直覺模糊集合的聚類模型摘要:針對已有基于直覺模糊集的聚類方法的局限性,提出了一種基于加權直覺模糊集合的聚類模型——wifscm(clusteringmodelbasedonweightedintuitionisticfuzzysets)。在該模型中,提出了特定特征空間下的等價樣本和加權直覺模糊集合的概念;并推導出基于等價樣本和加權直覺模糊集合的直覺模糊聚類算法的目標函數(shù),利用該目標函數(shù)推導出直覺模糊聚類中心迭代算法和隸屬度矩陣迭代算法;定義了基于加權直覺模糊集合的密度函數(shù),確定了初始聚類中心,減少了迭代次數(shù)。通過灰度
2、圖像分割實驗,證明了該模型的有效性,同時與普通直覺模糊集fcm聚類算法(ifcm)相比,聚類速度提高近百倍。關鍵詞:直覺模糊集;加權直覺模糊集合;聚類中心;等價樣本;隸屬度矩陣;密度函數(shù)clusteringmodelbasedonweightedintuitionisticfuzzysetschangyan*,zhangshi.bin(schoolofnetworkengineering,chengduuniversityofinformationtechnology,chengdusichuan610225,chinaa
3、bstract:tomakeupthelimitationsofexistingclustering標準文檔實用文案methodsbasedonintuitionisticfuzzysets,aclusteringmodelcalledwifscm(clusteringmodelbasedonweightedintuitionisticfuzzysets)isproposedbasedonweightedintuitionisticfuzzysets.inthismodel,theconceptsofequivalentsample
4、sandweightedintuitionisticfuzzysetsisputforwardinspecialfeaturespace,andbasedonwhichtheobjectivefunctionofintuitionisticfuzzyclusteringalgorithmisproposed.iterativealgorithmsofclusteringcenterandmatrixofmembershipdegreeareinferredfromtheobjectivefunction.densityfunctio
5、nbasedonweightedintuitionisticfuzzysetsisdefined,andinitialclusteringcenterisgottentoreduceiterativetimes.theexperimentofgrayimagesegmentationshowsthatwifscmiseffective,anditisfasterthanifcmalgorithmnearlyahundredtimes.concerningthelimitationsoftheexistingclusteringmet
6、hodsbasedonintuitionisticfuzzysets,aclusteringmodelcalledweightedintuitionisticfuzzysetmodel(wifscm)(clusteringmodelbasedonweightedintuitionisticfuzzysets)wasproposedbasedonweightedintuitionisticfuzzysets.inthismodel,theconceptsofequivalentsampleandweightedintuitionist
7、icfuzzyset標準文檔實用文案wereputforwardinspecialfeaturespace,andbasedonwhichtheobjectivefunctionofintuitionisticfuzzyclusteringalgorithmwasproposed.iterativealgorithmsofclusteringcenterandmatrixofmembershipdegreewereinferredfromtheobjectivefunction.thedensityfunctionbasedonwe
8、ightedintuitionisticfuzzysetswasdefined,andinitialclusteringcenterwasgottentoreduceiterativetimes.theexperimentofgray