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第8期 方宏伟等:基于粗糙商集的模糊隶属度集值统计算法 ·965· Far East J Math Sci,2007,25(1)1 [14]Li X P.Probability Theory Foundation.3rd Ed.Beijing:Higher [Taheri S M.Trends in fuzzy statistics.Aust J Stat,2003,32(3): Education Press,2010 239 (李贤平.概率论基础.3版.北京:高等教有出版社,2010) 6]Wang PZ.Fuzy Sets and Projectable Random Sets.Beijing:Bei- [15]Xu WY,Jiang Z M,Shi A C.Slope stability analysis using fuzz- jing Normal University Press,1985 y sets theory.Chin J Geotech Eng,2003,25(4)409 (汪培庄.模糊集与随机集落影.北京:北京师范大学出版 (徐卫亚,蒋中明,石安池.基于模糊集理论的边坡稳定性 社,1985) 分析.岩土工程学报,2003,25(4):409) ]Tamaki F,Kanagawa A,Ohta H.Identification of membership 16]Feng X T.Intelligent Rock Mechanics Introduction.Beijing:Sci- functions based on fuzzy observation data.Fuzzy Sets Syst,1998, ence Press,2000 93(3):311 (冯夏庭.智能岩石力学导论.北京:科学出版社,2000) Coletti C.Scozzafava R.Conditional probability,fuzzy sets,and [17]Wang H B,Xu R C.Application of BP artificial neural networks possibility:a unifying view.Fuzsy Sets Syst,2004,144(1):227 on stability evaluation of Yu dong he landslide.I Yangtze Rirer Zhang WX,Liang Y,Wu WZ.Information System and Knowl- Sci Res Inst,2002,19(4):62 edge Discovery.Beijing:Science Press,2003 (汪华斌,徐瑞春.BP神经网络在鱼洞河滑坡稳定性评价中 (张文修,梁怡,吴伟志.信息系统与知识发现.北京:科学 的应用.长江科学院院报,2002,19(4):62) 出版社,2003) [18]Chen L Q,Peng Z B,Chen W,et al.Artificial neural network [0]Chmn A.Discernibility and Rough Sets in Medicine:Tools and Ap- simulation on prediction of clay slope stability based on fuzzy con- plications [Dissertation].Trondheim:Norwegian University of troller.J Cent South Unir Sci Technol,2009,40 (5):1381 Science and Technology,1999 (陈乐求,彭振斌,陈伟,等.基于模糊控制的人工神经网络 [11]Guan Z M.Annotations about conditional probability.Yunnan 模拟在土质边坡安全预测中的应用.中南大学学报:自然科 Inst Technol,1989(1):77 学版,2009,40(5):1381) (官子美.关于条件概率的几点注记.云南工学院学报, 19]Xu H.Fuzzy Reliability Analysis of Slope Stable Capacity Based 1989(1):77) on Fuzzy Sets [Dissertation].Hangzhou:Zhejiang University, [12]Bellakov G.Fuzzy Sets and membership functions based on prob- 2006 abilities.Inf Sci,1996,91(1/2):95 (徐辉.基于模糊集理论的边坡稳定模糊随机可靠度分析 [13]Zhang N L.The membership and probability characteristics of [学位论文].杭州:浙江大学,2006) random appearances ()Wuhan Inst Build Mater,1981,3 20]Dubois D,Prade H.Fuzzy sets and probability:misunderstand- (3):9 ings,bridges and gaps /Proceedings of the Second IEEE Confer- (张南纶.随机现象的从属特性及概率特性(Ⅲ).武汉建材 ence on Fuzzy Systems.San Francisco,1993:1059 学院学报,1981,3(3):9)第 8 期 方宏伟等: 基于粗糙商集的模糊隶属度集值统计算法 Far East J Math Sci,2007,25( 1) : 1 [5] Taheri S M. Trends in fuzzy statistics. Aust J Stat,2003,32( 3) : 239 [6] Wang P Z. Fuzzy Sets and Projectable Random Sets. Beijing: Bei￾jing Normal University Press,1985 ( 汪培庄. 模糊集与随机集落影. 北京: 北京师范大学出版 社,1985) [7] Tamaki F,Kanagawa A,Ohta H. Identification of membership functions based on fuzzy observation data. Fuzzy Sets Syst,1998, 93( 3) : 311 [8] Coletti G,Scozzafava R. Conditional probability,fuzzy sets,and possibility: a unifying view. Fuzzy Sets Syst,2004,144( 1) : 227 [9] Zhang W X,Liang Y,Wu W Z. Information System and Knowl￾edge Discovery. Beijing: Science Press,2003 ( 张文修,梁怡,吴伟志. 信息系统与知识发现. 北京: 科学 出版社,2003) [10] hrn A. Discernibility and Rough Sets in Medicine: Tools and Ap￾plications [Dissertation]. Trondheim: Norwegian University of Science and Technology,1999 [11] Guan Z M. Annotations about conditional probability. J Yunnan Inst Technol,1989( 1) : 77 ( 官 子 美. 关于条件概率的几点注记. 云南工学院学报, 1989( 1) : 77) [12] Bellakov G. Fuzzy Sets and membership functions based on prob￾abilities. Inf Sci,1996,91( 1 /2) : 95 [13] Zhang N L. The membership and probability characteristics of random appearances ( Ⅲ) . J Wuhan Inst Build Mater,1981,3 ( 3) : 9 ( 张南纶. 随机现象的从属特性及概率特性( Ⅲ) . 武汉建材 学院学报,1981,3( 3) : 9) [14] Li X P. Probability Theory Foundation. 3rd Ed. Beijing: Higher Education Press,2010 ( 李贤平. 概率论基础. 3 版. 北京: 高等教育出版社,2010) [15] Xu W Y,Jiang Z M,Shi A C. Slope stability analysis using fuzz￾y sets theory. Chin J Geotech Eng,2003,25( 4) : 409 ( 徐卫亚,蒋中明,石安池. 基于模糊集理论的边坡稳定性 分析. 岩土工程学报,2003,25( 4) : 409) [16] Feng X T. Intelligent Rock Mechanics Introduction. Beijing: Sci￾ence Press,2000 ( 冯夏庭. 智能岩石力学导论. 北京: 科学出版社,2000) [17] Wang H B,Xu R C. Application of BP artificial neural networks on stability evaluation of Yu dong he landslide. J Yangtze River Sci Res Inst,2002,19( 4) : 62 ( 汪华斌,徐瑞春. BP 神经网络在鱼洞河滑坡稳定性评价中 的应用. 长江科学院院报,2002,19( 4) : 62) [18] Chen L Q,Peng Z B,Chen W,et al. Artificial neural network simulation on prediction of clay slope stability based on fuzzy con￾troller. J Cent South Univ Sci Technol,2009,40( 5) : 1381 ( 陈乐求,彭振斌,陈伟,等. 基于模糊控制的人工神经网络 模拟在土质边坡安全预测中的应用. 中南大学学报: 自然科 学版,2009,40( 5) : 1381) [19] Xu H. Fuzzy Reliability Analysis of Slope Stable Capacity Based on Fuzzy Sets [Dissertation]. Hangzhou: Zhejiang University, 2006 ( 徐辉. 基于模糊集理论的边坡稳定模糊随机可靠度分析 [学位论文]. 杭州: 浙江大学,2006) [20] Dubois D,Prade H. Fuzzy sets and probability: misunderstand￾ings,bridges and gaps / / Proceedings of the Second IEEE Confer￾ence on Fuzzy Systems. San Francisco,1993: 1059 ·965·
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