三角模糊数型边坡支护方案评价模型及其应用
摘要:由于边坡支护方案评价时掌握的信息不充分,资料不全,加之问题本身的复杂性、不确定性以及人类思维的模糊性,方案的评价值往往难以精确表达,用三角模糊数的形式表示更合理。针对属性值用三角模糊数表示的边坡支护方案优选问题,提出了一种基于集对分析联系数的三角模糊数型方案综合评价模型。首先,根据集对分析中的联系数理论,利用三角模糊数的中值及上下确界所限定的取值区间,将三角模糊数转化为联系数;然后,根据联系数的加法和乘法定义,建立了联系数决策模型;按照综合决策值大小即可得到最优方案。该模型既考虑了三角模糊数的中值,又兼顾了三角模糊数的上下确界,即联系数的差异度,更具有客观性、合理性。实例应用表明,该模型算理清晰,计算简便,结论与实际相符。
Abstract:Due to inadequate information,incomplete data in evaluation of supporting schemes for slope,and the complicacy and uncertainty of the evaluation for slope and the fuzziness of human thinking,the evaluation value of the scheme is difficult to be expressed, the value represented in triangular fuzzy number is more reasonable. In order to solve the optimization of supporting schemes for slope with triangular fuzzy numbers,a comprehensive evaluation model based on triangular fuzzy numbers of connection numbers of set pair analysis is proposed. First the triangular fuzzy numbers are transformed into connection numbers by using the median, and the interval of value prescribed by supremum and infimum of the triangular fuzzy numbers, depend on the connection numbers theory of set pair analysis; then, the decision-making model of connection numbers is established based on the definition of addition and multiplication of connection number,and the optimum schemes can be obtained by the comprehensive decision values. The median and the supremum and infimum of the triangular fuzzy numbers are used in this model; it is more objective and reasonable. A practical example indicates the method is simple and credible.
中文标题：
三角模糊数型边坡支护方案评价模型及其应用
An Evaluation Model of Supporting Schemes for Slope with Triangular Fuzzy Numbers and Its Application
作者：
王国富1,王渭明1,冯玉国2
Wang Guofu1,Wang Weiming1,Feng Yuguo2
作者简介:王国富,1964年生,男,汉族,山东荣成人,在读博士,高级工程师,主要从事岩土工程方面的研究工作。E-mail:wangguofu2009@126.com
通讯地址：
1. 山东科技大学, 山东青岛 266510; 2. 山东正元建设工程有限责任公司, 山东济南 250101
1.ShandongUniversityofScience&Technology,Qingdao266510,China; 2.ShandongZhengyuanConstructionEngineeringCo.,Ltd,Jinan250101,China
中图分类号:O223;O1-0;C934
doi:10.3969/j.issn.1007-2993.2011.04.001
出版物：岩土工程技术
收稿日期:2011-05-26
关键词:综合评价,三角模糊数,集对分析,联系数,边坡支护
Key words:comprehensive evaluation,triangular fuzzy number,set pair analysis,connection number,supporting of slope
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