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第7期 苏永华等：岩体模糊分类中隶属函数的等效性 ·675 根据相同运算，得到B=(0.1893,0.2176, 参考文献 0.2607,0.2498,0.0761),同样得出属于Ⅲ，为质 [1]刘春，白世伟。岩体风化程度两级模糊综合评判研究，岩石力 学与工程学报，2005,24(2)：252 量一般的岩体. [2]李文秀，梁旭黎，赵胜涛.地下水影响下裂隙岩质边坡变形的 取其他的任何组合，均可得到岩体的质量是一 Fy测度分析.岩石力学与工程学报，2005,24(2)：302 般岩体的一致结论，这一分析结果说明，在岩体工 [3]许传华，任青文地下工程围岩稳定模糊综合评判法，岩石力 程的模糊分析中，隶属函数不同，隶属度不同，即不 学与工程学报，2004,23(11)：1852 同隶属函数对模糊程度的描述存在差异，但最后的 [4]贾厚华，贺怀建，边坡稳定模糊随机可靠度分析，岩土力学 分析结论一致，说明相互之间的差异很小，在工程上 2003,24(4):657 [5]刘春.边坡工程中岩石力学参数随机模糊选取研究·岩土力 是可以接受的， 学，2004,25(8)：1327 5结语 [6]龚文惠，姜友生，王元汉.膨胀土路基沉降的模糊可靠度.岩 土力学，2004,25(8)：1340 本文总结了隶属函数的典型类型，在给定隶属 [7]李守巨，刘迎曦。基于模糊理论的混凝土热力学参数识别方 函数建立三个前提条件下，分别研究比较了岩体工 法.岩土力学，2004,25(4)：570 [8]张海涛，何亚伯，肖焕雄·深基坑稳定性的模糊随机分析，岩 程中单个因素隶属度和多因素条件下的结果，发现 土力学，2004,25(10)：1659 隶属度和隶属度矩阵存在差异，但是最后分析结论 [9]赵明华，程晔，曹文贵。桥梁基桩桩端溶洞顶板稳定性的模糊 一致.因此，在岩体模糊分类时，各种隶属函数是等 分析研究.岩石力学与工程学报，2005,24(8)：1376 效的，无论选取哪一种隶属函数，在通常情况下，分 [10]东兆星，李佃平，李正龙，等。隧道掘进常用掏槽方式及参 析结果是一致的，这一结论为岩体的模糊分类分析 数合理性评价与分析.岩石力学与工程学报，2003,22(9)： 1478 提供了很大的方便， Equivalent characteristic of membership function type in rock mass fuzzy classifica- tion SU Yonghua,HE Manchao2,SUN Xiaoming?) 1)Civil School.Hunan University,Changsha 410082.China 2)China University of Mining and Technology (Beijing).Beijing 100083.China ABSTRACI It was summarized that normal function,mountain function,triangle fuzzy function and trapezi- um function is usually used to simulate a continuous membership function during fuzzy evaluation of engineering rock mass,and their analytical equations were presented accordingly.The establishing method of four member- ship functions for concrete engineering index was researched through using the uniaxial compress strength of rock mass as an example during fuzzy classification of rock mass.The membership degree of a uniaxial compress strength value was calculated by the above mentioned four membership functions.It was found that there was a bigger difference among the membership degrees calculated by different subject functions.Five main indexes that influence rock mass stability were picked out through analysis.Based on data of the surrounding rock of a tun- nel,the membership degree values of the uniaxial compress strength of rock mass,RoD,integrality coefficient and soft coefficient were calculated respectively by three membership functions,and the membership degree of structure surface was decided,through a membership degree value table,for the rock mass of roadway.Some difference among the membership degree values of the rock mass of roadway was found when the membership functions that were used to calculate the membership degree were different.Yet the classification result of rock mass is identical under different membership degrees from different membership functions.The researched result testified equivalence,adaptability and correctness of a common membership function in fuzzy.The theoretic base of choice a subject function in fuzzy classification for rock mass was suggested. KEY WORDS mines;surrounding rock of roadway:rock mass;fuzzy classification:membership function: membership degree根据 相 同 运 算得 到 B ＝ （0∙18930∙2176 0∙26070∙24980∙0761）同样得出属于Ⅲ为质 量一般的岩体． 取其他的任何组合均可得到岩体的质量是一 般岩体的一致结论．这一分析结果说明在岩体工 程的模糊分析中隶属函数不同隶属度不同即不 同隶属函数对模糊程度的描述存在差异但最后的 分析结论一致说明相互之间的差异很小在工程上 是可以接受的． 5 结语 本文总结了隶属函数的典型类型在给定隶属 函数建立三个前提条件下分别研究比较了岩体工 程中单个因素隶属度和多因素条件下的结果发现 隶属度和隶属度矩阵存在差异但是最后分析结论 一致．因此在岩体模糊分类时各种隶属函数是等 效的无论选取哪一种隶属函数在通常情况下分 析结果是一致的．这一结论为岩体的模糊分类分析 提供了很大的方便． 参 考 文 献 ［1］ 刘春白世伟．岩体风化程度两级模糊综合评判研究．岩石力 学与工程学报200524（2）：252 ［2］ 李文秀梁旭黎赵胜涛．地下水影响下裂隙岩质边坡变形的 Fuzzy 测度分析．岩石力学与工程学报200524（2）：302 ［3］ 许传华任青文．地下工程围岩稳定模糊综合评判法．岩石力 学与工程学报200423（11）：1852 ［4］ 贾厚华贺怀建．边坡稳定模糊随机可靠度分析．岩土力学 200324（4）：657 ［5］ 刘春．边坡工程中岩石力学参数随机模糊选取研究．岩土力 学200425（8）：1327 ［6］ 龚文惠姜友生王元汉．膨胀土路基沉降的模糊可靠度．岩 土力学200425（8）：1340 ［7］ 李守巨刘迎曦．基于模糊理论的混凝土热力学参数识别方 法．岩土力学200425（4）：570 ［8］ 张海涛何亚伯肖焕雄．深基坑稳定性的模糊随机分析．岩 土力学200425（10）：1659 ［9］ 赵明华程晔曹文贵．桥梁基桩桩端溶洞顶板稳定性的模糊 分析研究．岩石力学与工程学报200524（8）：1376 ［10］ 东兆星李佃平李正龙等．隧道掘进常用掏槽方式及参 数合理性评价与分析．岩石力学与工程学报200322（9）： 1478 Equivalent characteristic of membership function type in rock mass fuzzy classification SU Yonghua 1）HE Manchao 2）SUN Xiaoming 2） 1） Civil SchoolHunan UniversityChangsha410082China 2） China University of Mining and Technology （Beijing）Beijing100083China ABSTRACT It was summarized that normal functionmountain functiontriangle fuzzy function and trapezium function is usually used to simulate a continuous membership function during fuzzy evaluation of engineering rock massand their analytical equations were presented accordingly．The establishing method of four membership functions for concrete engineering index was researched through using the uniaxial compress strength of rock mass as an example during fuzzy classification of rock mass．The membership degree of a uniaxial compress strength value was calculated by the above-mentioned four membership functions．It was found that there was a bigger difference among the membership degrees calculated by different subject functions．Five main indexes that influence rock mass stability were picked out through analysis．Based on data of the surrounding rock of a tunnelthe membership degree values of the uniaxial compress strength of rock massRQDintegrality coefficient and soft coefficient were calculated respectively by three membership functionsand the membership degree of structure surface was decidedthrough a membership degree value tablefor the rock mass of roadway．Some difference among the membership degree values of the rock mass of roadway was found when the membership functions that were used to calculate the membership degree were different．Yet the classification result of rock mass is identical under different membership degrees from different membership functions．The researched result testified equivalenceadaptability and correctness of a common membership function in fuzzy．The theoretic base of choice a subject function in fuzzy classification for rock mass was suggested． KEY WORDS mines；surrounding rock of roadway；rock mass；fuzzy classification；membership function； membership degree 第7期 苏永华等： 岩体模糊分类中隶属函数的等效性 ·675·