Equivalent characteristic of membership function type in rock mass fuzzy classification
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摘要: 總結出了巖體工程模糊評價中常用的連續隸屬函數主要類型有正態型、嶺型、三角模糊數和梯形,并給出了相應的基本解析表達式.以巖體分類中的單軸抗壓強度為例,研究了具體指標隸屬函數建立方法.采用不同隸屬函數計算了某巖石試樣的單軸抗壓強度的隸屬度,發現不同隸屬函數得出的隸屬度有差異.選取影響巖體穩定的五個主要指標,利用某礦深部工程地質資料,計算了其巖體物理力學參數在不同隸屬函數下的隸屬度,并根據離散型隸屬度取值表確定了結構面的隸屬度.將不同隸屬函數下的各類指標的隸屬度進行不同的組合,形成不同的隸屬度矩陣,對該圍巖進行模糊評判分類,得出最后的分類結果一致.這一研究結果證明了各類隸屬函數的等效性、在巖體分類應用中的適應性和正確性,為巖體模糊分類隸屬函數的選擇提供了依據和便利.Abstract: It was summarized that normal function, mountain function, triangle fuzzy function and trapezium 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 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 tunnel, the membership degree values of the uniaxial compress strength of rock mass, RQD, 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.
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Key words:
- mines /
- surrounding rock of roadway /
- rock mass /
- fuzzy classification /
- membership function /
- membership degree
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