简介:ThenotionsoffuzzydotidealsandfuzzydotH-idealsinBCH-algebrasareintro-duced,severalappropriateexamplesareprovided,andtheirsomepropertiesareinvestigated.Therelationsamongfuzzyideal,fuzzyH-ideal,fuzzydotidealandfuzzydotH-idealsinBCH-algebrasarediscussed,severalequivalentdepictionsoffuzzydotidealareobtained.Howtodealwiththehomomorphicimageandinverseimageoffuzzydotideals(fuzzydotH-ideals)arestudied.Therelationsbetweenafuzzydotideal(fuzzydotH-ideal)inBCH-algebrasandafuzzydotideal(fuzzydotH-ideal)intheproductalgebraofBCH-algebrasaregiven.
简介:介绍一些网络聚类算法及其基本原理,简述了其在生物信息学的应用。本文不是网络聚类算法的全面综述,只介绍这些网络聚类算法的基本思路,体会其数学建模的基本思想。
简介:对于多属性群决策中专家权重确定的问题,本文提出了基于聚类的专家权重确定方法,将专家权重分为类别间权重和类别内权重,对专家聚类步骤和类别间权重的计算方法进行了改进。通过专家给出的判断矩阵构建相容度矩阵,利用系统聚类原理,对相容度矩阵进行聚类,得到最大相容度谱系图。通过最大相容度间的距离和给定阈值的比较,对专家进行恰当分类,从而避免了根据现有研究步骤只能将专家分为两类的不足。此外,在确定类别间权重时,除继续对类容量较大的类赋予较大的类别间权重系数外,还引入专家判断矩阵的属性权重一致性来反映类别间的差异,从而有效避免了当某几类专家中含有相等数目专家时,赋予这几类专家相同类别间权重系数的问题。所提方法结构清晰、计算简便,并使得专家权重计算结果更为合理准确。最后运用一个算例对比验证了该方法的可行性和有效性。
简介:我们描述在模糊集合和代数学的亢奋的结构之间的关系。事实上,这篇论文是Davvaz介绍在的想法的继续(模糊集合Syst,117:477-484,2001)并且Bhakat和Das在(模糊集合Syst,80:359-368,1996)。有一个珍视间隔的模糊集合的模糊间隔价值的伪巧合的概念被介绍,这是在模糊集合的一个模糊的点的伪巧合的自然归纳。由使用这个新想法,这个概念珍视间隔(α,β)一个亢奋的模块的模糊sub-hypermodules被定义。这最新定义珍视间隔(α,模糊sub-hypermodule是的β)平常的模糊sub-hypermodule的归纳。我们将学习如此的模糊sub-hypermodules并且考虑一个亢奋的模块的基于含意的珍视间隔的模糊sub-hypermodules。
简介:Inthispaper,theentropyofrandomexperimentswithresultsoffuzzyeventsandthemutualinformationbetweentwoexperimentsofsuchkindaredefined,therefore,theShannonentropyandinformationareextendedtothefuzzysituations.Theprincipalpropertiesofentropyandinformationoffuzzyeventsarediscussed.Amongotherthings,wefindthattheentropyofarandomexperimentwithfuzzyoutcomesisthesumofrandomentropyandfuzzyentropy.TheconnectionbetweenShannonentropyandDeLucaEntropyisestablished.
简介:Inthispaper,weanalyzethefuzzyreliabilityofparalleling-seriessystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparalleling-seriessystemcomposedofmultiplecomponents,C1j,C2j,Cnj…,Cnj(j=1,2,…,K),especiallywhenη=1,mij=m,i=1,…n,j=1,2,…,k,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.
简介:Inthispaper,weanalyzethefuzzyreliabilityofparallelingsystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparallelingsystemcomposedofmultiplecomponents,C1,C2,???,Cn,especiallywhenη=1,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.