China Geological Environmental Monitoring InstituteHost
Advanced Search
Previous Article Next Article
2024 Vol. 51, No. 6
Article Contents
Article navigation > Hydrogeology & Engineering Geology > 2024 > 51(6): 149-159
Next Article Previous Article

HU Xuewen, LI Yun’an, FAN Zhigao. Stability evaluation of karst roof of pile foundation based on variable weight fuzzy comprehensive theory[J]. Hydrogeology & Engineering Geology, 2024, 51(6): 149-159. doi: 10.16030/j.cnki.issn.1000-3665.202307035
Citation: HU Xuewen, LI Yun’an, FAN Zhigao. Stability evaluation of karst roof of pile foundation based on variable weight fuzzy comprehensive theory[J]. Hydrogeology & Engineering Geology, 2024, 51(6): 149-159. doi: 10.16030/j.cnki.issn.1000-3665.202307035
shu

Stability evaluation of karst roof of pile foundation based on variable weight fuzzy comprehensive theory

  • 1.

    Engineering College, China University of Geosciences, Wuhan，Hubei　430070，China

  • 2.

    China Railway 16th Bureau Group Co. Ltd., Shenzhen，Guangdong　518000, China

More Information
Received Date:  24 July 2023
Revised Date:  10 January 2024
Accepted Date:  12 January 2024
Publish Date:  15 November 2024
    Abstract

  • Regarding the lower accuracy of the Analytic Hierarchy Process (AHP) in assessing the stability of karst cave roof under pile foundations, an improved structural model of evaluation indicators based on variable weight theory was developed to establish an effective mathematical assessment method for stability determination. Focusing on the parking lot of Shenzhen Rail Transit Line 3 within a karst development area, the main factors influencing the stability of the karst cave roof under pile foundations were identified utilizing Fault Tree Analysis theory. The structural model of stability assessment indicators was delineated through theoretical analysis. Subsequently, based on Fuzzy Mathematics, a comprehensive evaluation method of stability integrated the AHP and the assessment method under variable weights was conducted to contrast the outcomes with stability assessment results under constant weights. Results indicate: (1) Factors obtained from Fault Tree Analysis theory can be used to evaluate stability systematically, identify potential event pathways, and mitigate incomplete evaluation factors. (2) The comprehensive evaluation method introduced variable weight fuzzy, employing a “penalty” mechanism for weight variation to determine the need for weight variation in assessment factors, achieves accurate on-site assessments through amplifying their influences. (3) The stability grade within the study area under the variable weight model was “unstable”, contrasting the evaluation of “relatively unstable” under the constant weight model, demonstrating that the variable weight fuzzy comprehensive evaluation model aligns more closely with on-site survey results. This study underscores that the variable weight theory-based assessment method for karst cave roof stability under pile foundations reflects the overall stability level within the research area, offering crucial insights for preliminary stability assessment in similar karst engineering endeavors.

    • FullText(HTML)
  • 加载中
    • References
  • [1] 刘之葵,梁金城,朱寿增,等. 岩溶区含溶洞岩石地基稳定性分析[J]. 岩土工程学报,2003,25(5):629 − 633. [LIU Zhikui,LIANG Jincheng,ZHU Shouzeng,et al. Stability analysis of rock foundation with cave in Karst Area[J]. Chinese Journal of Geotechnical Engineering,2003,25(5):629 − 633. (in Chinese with English abstract)]

    Google Scholar

    LIU Zhikui, LIANG Jincheng, ZHU Shouzeng, et al. Stability analysis of rock foundation with cave in Karst Area[J]. Chinese Journal of Geotechnical Engineering, 2003, 25（5）: 629 − 633. （in Chinese with English abstract）

    Google Scholar

    [2] 李超鹏. 隧道岩溶塌陷的超前地质预报研究及防治对策[D]. 湘潭:湖南科技大学,2016. [LI Chaopeng. A study on advanced geological forecast techniques for tunnel Karst collapse and corresponding solutions[D]. Xiangtan:Hunan University of Science and Technology,2016. (in Chinese with English abstract)]

    Google Scholar

    LI Chaopeng. A study on advanced geological forecast techniques for tunnel Karst collapse and corresponding solutions[D]. Xiangtan: Hunan University of Science and Technology, 2016. （in Chinese with English abstract）

    Google Scholar

    [3] 蒋德松. 岩溶区路基稳定性分析及处治方法研究[D]. 长沙:湖南大学,2019. [JIANG Desong. Study on stability analysis and treatment method of subgrade in Karst areas[D]. Changsha:Hunan University,2019. (in Chinese with English abstract)]

    Google Scholar

    JIANG Desong. Study on stability analysis and treatment method of subgrade in Karst areas[D]. Changsha: Hunan University, 2019. （in Chinese with English abstract）

    Google Scholar

    [4] 龚晓南. 桩基工程手册[M]. 2版. 北京:中国建筑工业出版社,2016. [GONG Xiaonan. Handbook of pile foundation engineering[M]. 2nd ed. Beijing:China Architecture & Building Press,2016. (in Chinese)]

    Google Scholar

    GONG Xiaonan. Handbook of pile foundation engineering[M]. 2nd ed. Beijing: China Architecture & Building Press, 2016. （in Chinese）

    Google Scholar

    [5] 姜巽,曹聪,刘智,等. 歌乐山地区隧道工程诱发的岩溶塌陷发育规律与形成条件[J]. 水文地质工程地质,2023,50(5):181 − 191. [JIANG Xun,CAO Cong,LIU Zhi,et al. Development and formation conditions of Karst collapse induced by tunnel engineering in the Gele Mountain Area[J]. Hydrogeology & Engineering Geology,2023,50(5):181 − 191. (in Chinese with English abstract)]

    Google Scholar

    JIANG Xun, CAO Cong, LIU Zhi, et al. Development and formation conditions of Karst collapse induced by tunnel engineering in the Gele Mountain Area[J]. Hydrogeology & Engineering Geology, 2023, 50（5）: 181 − 191. （in Chinese with English abstract）

    Google Scholar

    [6] 黄波林,殷跃平,李滨,等. 三峡工程库区岩溶岸坡岩体劣化及其灾变效应[J]. 水文地质工程地质,2020,47(4):51 − 61. [HUANG Bolin,YIN Yueping,LI Bin,et al. Rock mass deterioration and its catastrophic effect of Karst bank slope in the Three Gorges Project Reservoir Area[J]. Hydrogeology & Engineering Geology,2020,47(4):51 − 61. (in Chinese with English abstract)]

    Google Scholar

    HUANG Bolin, YIN Yueping, LI Bin, et al. Rock mass deterioration and its catastrophic effect of Karst bank slope in the Three Gorges Project Reservoir Area[J]. Hydrogeology & Engineering Geology, 2020, 47（4）: 51 − 61. （in Chinese with English abstract）

    Google Scholar

    [7] 周长松,邹胜章,朱丹尼,等. 广昆铁路复线秀宁隧道大皮坡—中村段岩溶塌陷成因[J]. 水文地质工程地质,2019,46(3):146 − 152. [ZHOU Changsong,ZOU Shengzhang,ZHU Danni,et al. An analysis of the cause of Karst collapses near the Dapipo-Zhongcun section of the Xiuning tunnel of the Guangzhou-Kunming railway[J]. Hydrogeology & Engineering Geology,2019,46(3):146 − 152. (in Chinese with English abstract)]

    Google Scholar

    ZHOU Changsong, ZOU Shengzhang, ZHU Danni, et al. An analysis of the cause of Karst collapses near the Dapipo-Zhongcun section of the Xiuning tunnel of the Guangzhou-Kunming railway[J]. Hydrogeology & Engineering Geology, 2019, 46（3）: 146 − 152. （in Chinese with English abstract）

    Google Scholar

    [8] 何清雨. 南宁地铁某区间岩溶发育机制及溶洞处理成套技术[D]. 南京:南京大学,2019. [HE Qingyu. Karst development mechanism and complete technology of Karst cave treatment in a section of Nanning subway[D]. Nanjing:Nanjing University,2019. (in Chinese with English abstract)]

    Google Scholar

    HE Qingyu. Karst development mechanism and complete technology of Karst cave treatment in a section of Nanning subway[D]. Nanjing: Nanjing University, 2019. （in Chinese with English abstract）

    Google Scholar

    [9] 蒋毅,王罡,任晓光,等. 深圳某基坑工程岩溶地基处理案例分析[J]. 工业建筑,2022,52(7):204 − 207. [JIANG Yi,WANG Gang,REN Xiaoguang,et al. Case study of Karst foundation treatment for a foundation pit project in Shenzhen[J]. Industrial Construction,2022,52(7):204 − 207. (in Chinese with English abstract)]

    Google Scholar

    JIANG Yi, WANG Gang, REN Xiaoguang, et al. Case study of Karst foundation treatment for a foundation pit project in Shenzhen[J]. Industrial Construction, 2022, 52（7）: 204 − 207. （in Chinese with English abstract）

    Google Scholar

    [10] 甘峻松. 岩溶地基及其处理[J]. 勘察科学技术,1986(5):35 − 40. [GAN Junsong. Karst foundation and its treatment[J]. Site Investigation Science and Technology,1986(5):35 − 40. (in Chinese)]

    Google Scholar

    GAN Junsong. Karst foundation and its treatment[J]. Site Investigation Science and Technology, 1986（5）: 35 − 40. （in Chinese）

    Google Scholar

    [11] 赵明华,袁腾方,黎莉,等. 岩溶区桩端持力岩层安全厚度计算研究[J]. 公路,2003,48(1):124 − 128. [ZHAO Minghua,YUAN Tengfang,LI Li,et al. Computation study on safety thickness of bearing rock strata at ends of piles in Karst region[J]. Highway,2003,48(1):124 − 128. (in Chinese with English abstract)]

    Google Scholar

    ZHAO Minghua, YUAN Tengfang, LI Li, et al. Computation study on safety thickness of bearing rock strata at ends of piles in Karst region[J]. Highway, 2003, 48（1）: 124 − 128. （in Chinese with English abstract）

    Google Scholar

    [12] 蒋继昭. 南(宁)柳(州)高速公路洛维大桥桩基岩溶问题[J]. 广西交通科技,1998,23(3):22 − 23. [JIANG Jizhao. Karst problem of pile foundation of Luowei Bridge on Nanning-Liuzhou Expressway[J]. Guangxi Communication Science and Technology,1998,23(3):22 − 23. (in Chinese)]

    Google Scholar

    JIANG Jizhao. Karst problem of pile foundation of Luowei Bridge on Nanning-Liuzhou Expressway[J]. Guangxi Communication Science and Technology, 1998, 23（3）: 22 − 23. （in Chinese）

    Google Scholar

    [13] 黄伯瑜. 岩溶地基的稳定性评价与工程处理[J]. 勘察科学技术,1988(3):1 − 6. [HUANG Boyu. Stability evaluation and engineering treatment of Karst foundation[J]. Site Investigation Science and Technology,1988(3):1 − 6. (in Chinese)]

    Google Scholar

    HUANG Boyu. Stability evaluation and engineering treatment of Karst foundation[J]. Site Investigation Science and Technology, 1988（3）: 1 − 6. （in Chinese）

    Google Scholar

    [14] 彭柏兴. 利用卸荷拱理论对地基中防空洞进行评价和处理[J]. 勘察科学技术,1999(6):25 − 27. [PENG Baixing. Applying the unloading arch theory to assess and treat the air - raid shelter in foundation soil[J]. Site Investigation Science and Technology,1999(6):25 − 27. (in Chinese with English abstract)]

    Google Scholar

    PENG Baixing. Applying the unloading arch theory to assess and treat the air - raid shelter in foundation soil[J]. Site Investigation Science and Technology, 1999（6）: 25 − 27. （in Chinese with English abstract）

    Google Scholar

    [15] 张建同,陈顺军,刘素梅,等. 隐伏岩溶条件下的上部结构-基础-地基共同作用数值模拟分析[J]. 中国岩溶,2018,37(5):792 − 798. [ZHANG Jiantong,CHEN Shunjun,LIU Sumei,et al. Numerical simulation analysis of interaction of superstructure-foundation-pile foundation under hidden Karst condition[J]. Carsologica Sinica,2018,37(5):792 − 798. (in Chinese with English abstract)]

    Google Scholar

    ZHANG Jiantong, CHEN Shunjun, LIU Sumei, et al. Numerical simulation analysis of interaction of superstructure-foundation-pile foundation under hidden Karst condition[J]. Carsologica Sinica, 2018, 37（5）: 792 − 798. （in Chinese with English abstract）

    Google Scholar

    [16] 曹文贵,程晔,袁腾芳,等. 潭邵高速公路路基岩溶顶板稳定性二级模糊综合评判[J]. 公路,2003,48(1):13 − 16. [CAO Wengui,CHENG Ye,YUAN Tengfang,et al. Secondary fuzzy comprehensive evaluation on stability of subgrade Karst top slab for Tan-Shao expressway[J]. Highway,2003,48(1):13 − 16. (in Chinese with English abstract)]

    Google Scholar

    CAO Wengui, CHENG Ye, YUAN Tengfang, et al. Secondary fuzzy comprehensive evaluation on stability of subgrade Karst top slab for Tan-Shao expressway[J]. Highway, 2003, 48（1）: 13 − 16. （in Chinese with English abstract）

    Google Scholar

    [17] 李洪兴. 因素空间理论与知识表示的数学框架(Ⅰ)──因素空间的公理化定义与描述架[J]. 北京师范大学学报(自然科学版),1996,32(4):151 − 157. [LI Hongxing. Theory of factor space and mathematical framework of knowledge representation (Ⅰ):Axiomatic definition and description frame of factor space[J]. Journal of Beijing Normal University (Natural Science),1996,32(4):151 − 157. (in Chinese with English abstract)]

    Google Scholar

    LI Hongxing. Theory of factor space and mathematical framework of knowledge representation （Ⅰ）: Axiomatic definition and description frame of factor space[J]. Journal of Beijing Normal University （Natural Science）, 1996, 32（4）: 151 − 157. （in Chinese with English abstract）

    Google Scholar

    [18] 陈宏峰,张发旺,何愿,等. 地质与地貌条件对岩溶系统的控制与指示[J]. 水文地质工程地质,2016,43(5):42 − 47. [CHEN Hongfeng,ZHANG Fawang,HE Yuan,et al. Geological and geomorphologic settings acting as the controlling factors and indicators for Karst systems[J]. Hydrogeology & Engineering Geology,2016,43(5):42 − 47. (in Chinese with English abstract)]

    Google Scholar

    CHEN Hongfeng, ZHANG Fawang, HE Yuan, et al. Geological and geomorphologic settings acting as the controlling factors and indicators for Karst systems[J]. Hydrogeology & Engineering Geology, 2016, 43（5）: 42 − 47. （in Chinese with English abstract）

    Google Scholar

    [19] 曹禄来,徐林荣,陈舒阳,等. 基于模糊神经网络的泥石流危险性评价[J]. 水文地质工程地质,2014,41(2):143 − 147. [CAO Lulai,XU Linrong,CHEN Shuyang,et al. Assessment of debris flow hazard based on Fuzzy Neutral Network[J]. Hydrogeology & Engineering Geology,2014,41(2):143 − 147. (in Chinese with English abstract)]

    Google Scholar

    CAO Lulai, XU Linrong, CHEN Shuyang, et al. Assessment of debris flow hazard based on Fuzzy Neutral Network[J]. Hydrogeology & Engineering Geology, 2014, 41（2）: 143 − 147. （in Chinese with English abstract）

    Google Scholar

    [20] 张帆,黄世泽,郭其一,等. 基于故障树分析法的道岔故障诊断与可靠性评估方法[J]. 城市轨道交通研究,2018,21(10):52 − 56. [ZHANG Fan,HUANG Shize,GUO Qiyi,et al. Research on turnout fault diagnosis and reliability assessment technology based on fault tree analysis[J]. Urban Mass Transit,2018,21(10):52 − 56. (in Chinese with English abstract)]

    Google Scholar

    ZHANG Fan, HUANG Shize, GUO Qiyi, et al. Research on turnout fault diagnosis and reliability assessment technology based on fault tree analysis[J]. Urban Mass Transit, 2018, 21（10）: 52 − 56. （in Chinese with English abstract）

    Google Scholar

    [21] AHMAD KHAN A,YU Rongrong,GU Ning,et al. Exploring critical risk factors in volumetric modular construction:Fault tree analysis with stakeholders' perspectives on probability and impact[J]. Journal of Architectural Engineering,2023,29(4).

    Google Scholar

    [22] 秦溯,李云安,孙琳. 基于区间非概率可靠性方法的岩溶区桩基下溶洞顶板稳定性评价[J]. 水文地质工程地质,2019,46(5):81 − 88. [QIN Su,LI Yun’an,SUN Lin. Stability evaluation of Karst cave roof under pile in Karst areas based on the interval non-probabilistic reliability method[J]. Hydrogeology & Engineering Geology,2019,46(5):81 − 88. (in Chinese with English abstract)]

    Google Scholar

    QIN Su, LI Yun’an, SUN Lin. Stability evaluation of Karst cave roof under pile in Karst areas based on the interval non-probabilistic reliability method[J]. Hydrogeology & Engineering Geology, 2019, 46（5）: 81 − 88. （in Chinese with English abstract）

    Google Scholar

    [23] 张晓波,刘凯,蒋鹏,等. 基于约束条件的深圳市南山区地下空间开发地质适宜性评价[J]. 水文地质工程地质,2023,50(4):213 − 224. [ZHANG Xiaobo,LIU Kai,JIANG Peng,et al. Geological suitability evaluation of underground space development in the Nanshan District of Shenzhen based on constraint conditions[J]. Hydrogeology & Engineering Geology,2023,50(4):213 − 224. (in Chinese with English abstract)]

    Google Scholar

    ZHANG Xiaobo, LIU Kai, JIANG Peng, et al. Geological suitability evaluation of underground space development in the Nanshan District of Shenzhen based on constraint conditions[J]. Hydrogeology & Engineering Geology, 2023, 50（4）: 213 − 224. （in Chinese with English abstract）

    Google Scholar

    [24] 陈泽彭. 基于模糊变权理论的矿井通风系统健康评价研究[D]. 徐州:中国矿业大学,2022. [CHEN Zepeng. Research on health evaluation of mine ventilation system based on fuzzy variable weight theory[D]. Xuzhou:China University of Mining and Technology,2022. (in Chinese with English abstract)]

    Google Scholar

    CHEN Zepeng. Research on health evaluation of mine ventilation system based on fuzzy variable weight theory[D]. Xuzhou: China University of Mining and Technology, 2022. （in Chinese with English abstract）

    Google Scholar

    [25] 何建东,张亚,梁谊. 变权模糊模型在黄土高边坡稳定性评价中的应用[J]. 西北水电,2020(3):41 − 45. [HE Jiandong,ZHANG Ya,LIANG Yi. Application of variable weight fuzzy model in stability evaluation of loess high slope[J]. Northwest Hydropower,2020(3):41 − 45. (in Chinese with English abstract)]

    Google Scholar

    HE Jiandong, ZHANG Ya, LIANG Yi. Application of variable weight fuzzy model in stability evaluation of loess high slope[J]. Northwest Hydropower, 2020（3）: 41 − 45. （in Chinese with English abstract）

    Google Scholar

    [26] 吴俐滢,杨涛远,翁顺,等. 基于综合层次分析法的赣江特大桥安全评估[J]. 土木工程与管理学报,2022,39(2):133 − 140. [WU Liying,YANG Taoyuan,WENG Shun,et al. Safety assessment of Ganjiang bridge of Chang Gan railway based on comprehensive analytic hierarchy process[J]. Journal of Civil Engineering and Management,2022,39(2):133 − 140. (in Chinese with English abstract)]

    Google Scholar

    WU Liying, YANG Taoyuan, WENG Shun, et al. Safety assessment of Ganjiang bridge of Chang Gan railway based on comprehensive analytic hierarchy process[J]. Journal of Civil Engineering and Management, 2022, 39（2）: 133 − 140. （in Chinese with English abstract）

    Google Scholar

    [27] 中华人民共和国建设部. 建筑桩基技术规范:JGJ 94—2008[S]. 北京:中国建筑工业出版社,2008. [Ministry of Construction of the People’s Republic of China. Technical code for building pile foundations:JGJ 94—2008[S]. Beijing:China Architecture & Building Press,2008. (in Chinese)]

    Google Scholar

    Ministry of Construction of the People’s Republic of China. Technical code for building pile foundations: JGJ 94—2008[S]. Beijing: China Architecture & Building Press, 2008. （in Chinese）

    Google Scholar

    [28] 中华人民共和国建设部、国家质量监督检验检疫总局. 建筑地基基础工程施工质量验收规范:GB 50202—2002[S]. 北京:中国计划出版社,2004. [General Administration of Quality Supervision,Inspection and Quarantine of the People’s Republic of China. Code for acceptance of construction quality of building foundation:GB 50202—2002[S]. Beijing:China Planning Press,2004. (in Chinese)]

    Google Scholar

    General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China. Code for acceptance of construction quality of building foundation: GB 50202—2002[S]. Beijing: China Planning Press, 2004. （in Chinese）

    Google Scholar

    [29] 张吉军. 模糊层次分析法(FAHP)[J]. 模糊系统与数学,2000,14(2):80 − 88. [ZHANG Jijun. Fuzzy analytical hierarchy process[J]. Fuzzy Systems and Mathematics,2000,14(2):80 − 88. (in Chinese with English abstract)]

    Google Scholar

    ZHANG Jijun. Fuzzy analytical hierarchy process[J]. Fuzzy Systems and Mathematics, 2000, 14（2）: 80 − 88. （in Chinese with English abstract）

    Google Scholar

    [30] 梁乃森,钱程,穆文平,等. 大牛地气田区地下水水质模糊综合评价[J]. 水文地质工程地质,2020,47(3):52 − 59. [LIANG Naisen,QIAN Cheng,MU Wenping,et al. Fuzzy comprehensive evaluation of groundwater quality of the Daniudi gas field area[J]. Hydrogeology & Engineering Geology,2020,47(3):52 − 59. (in Chinese with English abstract)]

    Google Scholar

    LIANG Naisen, QIAN Cheng, MU Wenping, et al. Fuzzy comprehensive evaluation of groundwater quality of the Daniudi gas field area[J]. Hydrogeology & Engineering Geology, 2020, 47（3）: 52 − 59. （in Chinese with English abstract）

    Google Scholar

    [31] 袁道先. 中国岩溶学[M]. 北京:地质出版社,1994. [YUAN Daoxian. Karst science in China[M]. Beijing:Geological Publishing House,1994. (in Chinese)]

    Google Scholar

    YUAN Daoxian. Karst science in China[M]. Beijing: Geological Publishing House, 1994. （in Chinese）

    Google Scholar

    [32] 中国科学院地质研究所岩溶研究组. 中国岩溶研究[M]. 北京:科学出版社,1979. [Karst Research Group,Institute of Geology,Chinese Academy of Sciences. Karst research in China[M]. Beijing:Science Press,1979. (in Chinese)]

    Google Scholar

    Karst Research Group, Institute of Geology, Chinese Academy of Sciences. Karst research in China[M]. Beijing: Science Press, 1979. （in Chinese）

    Google Scholar

    [33] PALMSTROM A. Measurements of and correlations between block size and rock quality designation (RQD)[J]. Tunnelling and Underground Space Technology,2005,20(4):362 − 377. doi: 10.1016/j.tust.2005.01.005

    CrossRef Google Scholar

    [34] 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[J]. 岩石力学与工程学报,2005,24(8):1376 − 1383. [ZHAO Minghua,CHENG Ye,CAO Wengui. Fuzzy method for the stability analysis of cave roof under pile tip in Karst Region[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1376 − 1383. (in Chinese with English abstract)]

    Google Scholar

    ZHAO Minghua, CHENG Ye, CAO Wengui. Fuzzy method for the stability analysis of cave roof under pile tip in Karst Region[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24（8）: 1376 − 1383. （in Chinese with English abstract）

    Google Scholar

    [35] 马赞甫,刘妍珺. 回归分析中最小样本容量的确定[J]. 统计与决策,2017(5):20 − 22. [MA Zanfu,LIU Yanjun. The determination of the minimum sample size in the regression analysis[J]. Statistics & Decision,2017(5):20 − 22. (in Chinese with English abstract)]

    Google Scholar

    MA Zanfu, LIU Yanjun. The determination of the minimum sample size in the regression analysis[J]. Statistics & Decision, 2017（5）: 20 − 22. （in Chinese with English abstract）

    Google Scholar

    [36] DUBOIS D J,PRADE H M. Fuzzy sets and systems:theory and applications[M]. New York:Academic Press,1980.

    Google Scholar

    [37] SAATY T L. The analytic hierarchy process:planning,setting priorities,resource allocation[M]. New York:McGraw-Hill International Book Co. ,1980.

    Google Scholar

    [38] 张晶晶,马传明,匡恒,等. 郑州市地下空间开发地质环境适宜性变权评价[J]. 水文地质工程地质,2016,43(2):118 − 125. [ZHANG Jingjing,MA Chuanming,KUANG Heng,et al. Geo-environmental suitability assessment with variable weight for underground space exploitation in Zhengzhou[J]. Hydrogeology & Engineering Geology,2016,43(2):118 − 125. (in Chinese with English abstract)]

    Google Scholar

    ZHANG Jingjing, MA Chuanming, KUANG Heng, et al. Geo-environmental suitability assessment with variable weight for underground space exploitation in Zhengzhou[J]. Hydrogeology & Engineering Geology, 2016, 43（2）: 118 − 125. （in Chinese with English abstract）

    Google Scholar

    [39] 李德清,李洪兴. 变权决策中变权效果分析与状态变权向量的确定[J]. 控制与决策,2004,19(11):1241 − 1245. [LI Deqing,LI Hongxing. Analysis of variable weights eff1ect and selection of appropriate state variable weights vector in decision making[J]. Control and Decision,2004,19(11):1241 − 1245. (in Chinese with English abstract)]

    Google Scholar

    LI Deqing, LI Hongxing. Analysis of variable weights eff1ect and selection of appropriate state variable weights vector in decision making[J]. Control and Decision, 2004, 19（11）: 1241 − 1245. （in Chinese with English abstract）

    Google Scholar

    • Relative Articles
  • Cited by
  • Supplements
    • Proportional views
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Figures(3)

Tables(14)

Export Citation
PDF
XML

Article Metrics

Article views(196) PDF downloads(16) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    版权所有：中国地质调查局发展研究中心 copyright @2020