基于熵权的可拓理论在岩体质量评价中的应用  

Application of extension theory based on entropy weight to rock quality evaluation

作　　者：梁桂兰[1] 徐卫亚[2] 谈小龙[2] 

机构地区：[1]河海大学交通海洋学院,南京210098 [2]河海大学岩土工程研究所,南京210098

出　　处：《岩土力学》2010年第2期535-540,共6页Rock and Soil Mechanics

基　　金：国家自然科学基金项目(No.50909038);国家自然科学基金重点项目(No.50539110);国家科技支撑计划资助(No.2008BAB29B01);教育部博士点基金(No.20090094120006)

摘　　要：坝基岩体质量综合评价是一个复杂的工程决策问题,常常表现为指标与指标之间的矛盾、定性信息与定量信息的共存,解决这类多属性、不相容问题,应采用定性与定量综合集成的方法加以研究。而可拓学正是采用物元的概念将研究对象、评估指标与其值域结合为一体,研究事物可拓性及其开拓规律,解决矛盾问题的一门新学科。应用可拓理论,基于多指标优化融合的思想,通过物元变换建立了坝基岩体质量评价的物元体系,计算评价指标对评价等级的关联系数,引入熵权法确定物元指标体系的权重系数,建立了基于熵权的可拓学理论,并将此理论应用于某工程坝基岩体质量评价,取得了与工程地质报告相一致的评价结果。The evaluation of rock mass quality of dam foundation is a complicated decision-making problem, often appearing to be the contradiction between influencing factors and the coexistence of qualitative knowledge and quantitative information. It is necessary to find a new meta-synthesis method which can solve the inconsistent problem of qualitative and quantitative information. Extension theory is used generally to solve such problems. It integrates research objects, evaluation indexes and its value range into a matter element system to research things＇ extension nature. Through the application of extension theory, the thought of multiple indexes optimal fusion and matter-element transform, the matter element system of rock quality evaluation of dam foundation is established and the relational degree of the comprehensive evaluation index can be calculated, of which the weight coefficients are determined by using entropy weight method. Then the extension theory based on entropy weight is established. The essay applies the model to evaluate rock mass quality of dam foundation of some hydropower station. The result is highly agreement with the geological report of this hydropower station and precisely reflects the practical engineering.

关 键 词：熵权 可拓学 物元模型 关联度 岩体质量评价 

分 类 号：O319[理学—一般力学与力学基础]