【摘要】 基于可变集的对立统一定理,提出围岩质量等级可变集识别原理与方法。导出可变集多指标综合相对隶属度模型。首次将辩证法规律及其数学定理用于工程围岩等级识别。列举了两个应用实例,并与集对分析模型的围岩质量等级识别结果进行了比较与分析,指出它存在的问题。提出的围岩质量等级可变集识别原理与方法可推广应用于土木建筑、水利、水电、岩土工程等不同建筑物围岩质量等级识别,有广宽的应用前景。更多还原

【Abstract】 A brief introduction to basic mathematical theorem of dialectics law which was introduced by Professor CHEN Shou-Yu is provided.The theory provides the opposite axiom of variable sets and the mathematical theorem of variable sets based on the basic law of materialist dialectics.Based on the qualitative and quantitative change theorem,that shows the standard interval intersection of the relative differences about the quality index of rock mass adjacent grades is zero.And based on the theorem of unity of opposites,that shows the sum of relative membership degree about two adjacent indexes is one.To apply mathematical theorems of dialectics law to engineering,examples of applications to get the comparisons and analysis between variable sets and set pair analysis was enumerated.The examples and comparisons revealed the problems and errors in set pair analysis.And the method is introduced,that can be extended to many academic fields to identify the quality of rock mass different buildings including:civil and architectural engineering,hydraulic and hydro-power engineering,geotechnical engineering,etc.It has a very broad application prospect.更多还原