东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2016, Vol. 37 ›› Issue (8): 1182-1187.DOI: 10.12068/j.issn.1005-3026.2016.08.024

• 资源与土木工程 • 上一篇    下一篇

ITOPSIS与PSF耦合的采空区稳定性综合辨析

贾楠， 吴超， 罗周全， 谢承煜   

  1. (中南大学 资源与安全工程学院， 湖南 长沙410083)
  • 收稿日期:2015-03-03 修回日期:2015-03-03 出版日期:2016-08-15 发布日期:2016-08-12
  • 通讯作者: 贾楠
  • 作者简介:贾楠(1987-)，女，黑龙江穆棱人，中南大学博士研究生； 吴超(1957-)，男，广东揭阳人，中南大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(51274250)； “十二五”国家科技支撑计划项目(2012BAK09B02-05)； 中央高校基本科研业务费专项资金资助项目(2013zzts057).

Comprehensive Discrimination on Mined-out Area Through ITOPSIS Coupled with PSF

JIA Nan， WU Chao， LUO Zhou-quan， XIE Cheng-yu   

  1. School of Resources and Safety Engineering， Central South University， Changsha 410083， China.
  • Received:2015-03-03 Revised:2015-03-03 Online:2016-08-15 Published:2016-08-12
  • Contact: JIA Nan
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摘要： 为提高地下金属矿采空区辨析的客观性，提出ITOPSIS及PSF耦合的综合辨析方法.首先引入TOPSIS方法并加以改进，形成适用于整体辨析的改进的TOPSIS(ITOPSIS)模型:①引入区间值直觉模糊集(IVIFS)以提高定性属性量化描述的客观性；②改进相对贴近度公式，避免了不可区分现象；③针对引发逆序问题的两个因素分别提出绝对理想解及IFAHP定权；④构建了采空区整体稳定性ITOPSIS等级量化区间，并将ITOPSIS运用于某金属矿山.然后，将基于点安全系数(PSF)的数值分析运用于2#，4#采空区局部稳定性分析，由PSF曲线具象地洞悉采空区局部稳定状态.研究结果为更好地综合分析采空区稳定性提供思路.

关键词: 采空区, 稳定性, 综合辨析, 改进TOPSIS, 区间值直觉模糊集, 点安全系数

Abstract: A synthetic discrimination from global to local through improved TOPSIS (technique for order preference by similarity to an ideal solution， TOPSIS) coupled with point safety factors (PSF) was proposed to enhance the objective of goaf stability analysis. Firstly， the TOPSIS method was introduced and improved for global stability analysis. The improved TOPSIS(ITOPSIS) has the following merits: ①Quantitative description objectiveness of qualitative indexes were enhanced through interval-valued intuitionistic fuzzy sets(IVIFS); ②Relative closeness formula was improved to avoid the indiscernibility of TOPSIS; ③Absolute ideal point and improved fuzzy analytic hierarchy process objective (IFAHP) were used to avoid the reverse phenomenon caused by the change of ideal point and weights respectively; ④ Stable grade division was realized and ITOPSIS was applied on 10 groups mined-out area samples in a certain mine. Thus， PSF was used on 2#，4# goaf for local stability discrimination and local stability state can be reflected through PSF graph. The results provide a better comprehensive approach to goaf stability analysis globally and locally.

Key words: mined-out area； stability, comprehensive discrimination； ITOPSIS； interval-valued intuitionistic fuzzy set； point safety factor

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