中智数的相似性度量方法及其在边坡稳定性评价中的比较

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英文篇名：Similarity Measure Methods of Neutrosophic Numbers and Their Comparative Study on the Evaluation of Slope Stability 作者：周楷峰 ; 叶军 ; 李博 英文作者：ZHOU Kaifeng;YE Jun;LI Bo;School of Civil Engineering,Shaoxing University;School of Mechanical and Electrical Engineering,Shaoxing University; 关键词：边坡稳定性 ; 中智数 ; 相似性度量 ; 边坡稳定性分级 英文关键词：slope stability;;neutrosophic number;;similarity measure;;slope stability classification 中文刊名：SXWZ 英文刊名：Journal of Shaoxing University(Natural Science) 机构：绍兴文理学院土木工程学院;绍兴文理学院机械与电气工程学院; 出版日期：2019-04-28 出版单位：绍兴文理学院学报(自然科学) 年：2019 期：v.39;No.321 基金：国家自然科学基金资助项目(61703280) 语种：中文; 页：SXWZ201901003 页数：8 CN：01 ISSN：33-1209/C 分类号：17-24

摘要

针对边坡中存在的多重不确定性因素,提出了3种基于中智数的相似度量方法(Dice法、余弦法和指数相似度量方法).以所选定边坡研究区域作为实际样本,用中智数表达获得的样本数据与给定的分级标准数据,计算样本数据与分级标准数据的相似性度量值,得到了边坡稳定性的评价结果.通过比较这3种基于中智数的相似度量方法所计算出的相似性度量值的标准偏差值,分析其各自相似性度量的特性,给出了这3种相似性度量方法的适用环境.
        In view of the multiple uncertainty factors existing in slope problems,this article first describes the slope problems of uncertainty factors by neutrosophic numbers,and then puts forward three similarity measure methods(the Dice,cosine,exponential similarity measure methods) between the neutrosophic numbers. The slope areas are selected as actual samples in this study,and the sample data obtained by actual samples and the classification standard data specified by stability levels are expressed by the neutrosophic numbers. Then,we calculate the three similarity measure values between the obtained sample data and the specified classification standard data and give the evaluation results of the slope stability levels. Finally,the standard deviations of the three similarity measure values indicate the characteristics of the three similarity measure methods in the evaluation of the slope stability. The measure characteristic analysis shows the application environment and advantages and disadvantages of various similarity measure methods.

引文

[1]王东,袁景.边坡稳定性分析中不确定性方法的评价[J].辽宁工程技术大学学报,2005,24(z2):13-15.
    [2]SMARANDACHE F.Neutrosophy:Neutrosophic Probability,Set,and Logic[M].Rehoboth(USA):American Research Press,1998.
    [3]SMARANDACHE F.Introduction to Neutrosophic Statistics[M].Craiova(Romania):Sitech&Education Publisher,2014.
    [4]YE J.Multiple-Attribute Group Decision-Making Method under a Neutrosophic Number Environment[J].Journal of Intelligent Systems,2016,25(3):377-386.
    [5]YE J.Bidirectional Projection Method for Multiple Attribute Group Decision Making with Neutrosophic Numbers[J].Neural Computing&Applications,2017,28:1021-1029.
    [6]郭松峰,祁生文,李星星,等.北京市门头沟区某公路岩质边坡稳定性分级研究[J].中国地质调查,2016,3(3):55-61.
    [7]秦胜伍,曹荣国,李广杰,等.基于FAHP的功效系数法的岩质边坡稳定性分级[J].灾害学,2016,31(4):27-32.
    [8]YE J.Multicriteria Decision-Making Method Using the Dice Similarity Measure Based on the Reduct Intuitionistic Fuzzy Sets of Interval-Valued Intuitionistic Fuzzy Sets[J].Applied Mathematical Modelling,2012,36(9):4466-4472.
    [9]YE J.Cosine Similarity Measures for Intuitionistic Fuzzy Sets and Their Applications[J].Mathematical and Computer Modelling,2011,53(1):91-97.
    [10]YE J.Fault Diagnoses of Steam Turbine Using the Exponential Similarity Measure of Neutrosophic Numbers[J].Journal of Intelligent&Fuzzy Systems,2016,30(4):1927-1934.