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模糊数学的改进模型在粘土划分中的应用
引用本文:尹福成,范永存,冯祥永.模糊数学的改进模型在粘土划分中的应用[J].东北农业大学学报,2009,40(1).
作者姓名:尹福成  范永存  冯祥永
作者单位:1. 内江师范学院数学系,四川,内江,641112
2. 东北农业大学工程学院,哈尔滨,150030
3. 四川师范大学数学与软件科学学院,成都,610068
摘    要:针对河流冲积粘土划分的问题,采用模糊综合评判法和评价因子权重的计算方法,提出了一种基于最小隶属度加权平均偏差法的改进方法,建立了模糊数学模型。该方法能在权重信息确定或不确定的情况下得出正确的结果,避免模糊综合评判中的不合理现象。通过工程实例,也证明了该方法的有效性和可行性。该模型层次清楚,物理意义明确,适用于粘土分类的评价,也适用于其它粘土的分类评价。

关 键 词:模糊数学  综合评判  最小隶属度  粘土划分

Application of improved model of fuzzy mathematics for clay classification
YIN Fucheng,FAN Yongcun,FENG Xiangyong.Application of improved model of fuzzy mathematics for clay classification[J].Journal of Northeast Agricultural University,2009,40(1).
Authors:YIN Fucheng  FAN Yongcun  FENG Xiangyong
Institution:1. Mathematics Department;Neijiang Teachers College;Neijiang Sichuan 641112;China;2. Engineering College;Northeast Agricultural University;Harbin 150030;3. College of Mathematics and Software Science;Sichuan Normal University;Chengdu 610068;China
Abstract:For the problem of the clay classification in the river, this paper applied the calculation methods of fuzzy synthetical judgement and the weighing of assessment factors to proposed an improved method which was based on the deviation method of minimum membership degree with weighed proportional means. This improved method not only gave right conclusion, but also could effectively avoid irrational condition. Examples illustrated the validity and feasibility of this method. The model′s gradation was clear, and its physical meaning was explicit. It was not only suitable for the assessment of the clay classification, but also applicable to the assessment of other kinds of clay classification.
Keywords:fuzzy mathematics  synthetical judgement  minimum membership degree  clay classification  
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