模糊数学在岩石工程分类中的应用

由于岩石的物理-力学参数的不确定性的特征,本文基于模糊数学的概念,提出了一个岩石工程分类的新方法。首先把岩石分为最好岩石、好的岩石等k类,每一类分别对应一模糊集（λ_i,i=1,2,……k）。对一项实际工程所涉及的岩石,先就抗压强度、地下水等n个方面作单因素评价,并统一转换成分数,获得n个模糊集。再拟定m组权数,说明以上各个因素在综合评价中所占比例的各种可能性,因此对每一组权组即可得一综合评价。最后得出岩石的工程分类。

Application of Fuzzy Mathematics to the Engineering Classification of Rocks

Because the uncertainty of physicomechanical paramenters is characteriste of rocks, based on the concept of the fuzzy mathematics) a new method to classification of the rock engineering are proposed. First the rock are divided into κ kinds, e. g., the excellent one, the very good one, etc. Each kind corresponds to a fuzzy set λ_i, i = 1,2,……k, respectively. For the rock used in a practical engineering, the n aspects of the com-pressive strength, ground water, ete as a single factor are evaluated. After transferring them into fraction unitedly, n fuzzy sets are found. Then we set m series of the weighted numbers and explains the various probabilities of the proportion of different factors in the comprehensive evaluation. Finally we can obtain a comprehensive evaluation for each series of the weighted numbers and engineering classification of rocks.