基于直觉模糊集合的地基处理方案优选

Intuitionistic Fuzzy Sets Based Model for Selection of Foundation Treatment Schemes

在工程建设中,地基处理方案的优选往往受到工期、质量、造价等因素的约束,是一个复杂的系统评价问题。从经济性、技术性、环境影响、施工条件四个方面出发,以直觉模糊集合理论为基础,建立基于直觉模糊值Sugeno积分算子的地基处理模型。该优选决策模型很好地解决了在构建地基方案评价指标和专家在构建属性集合直觉模糊重要性测度过程中,属性指标之间和专家的偏好均存在不同程度的相互关联问题,并通过一个三元组来描述其隶属信息,运用直觉模糊值Sugeno算子对专家的评价值进行处理,判断备选方案的优劣次序。通过实际案例,分析验证了模型的可行性和合理性。

In construction process, schemes of foundation treatment are subject to schedule, quality, cost constraints, and other factors. The scheme selection involves a complex system evaluation. On the basis of intuitionistic fuzzy set theory, a foundation treatment model which is based on fuzzy-valued Sugeno integral is established. The model covers many factors, such as economic, technical, environmental impacts, and construction conditions. In the model, a triad is introduced to describe membership value and intuitionistic fuzzy valued Sugeno integral operator is used to process data from experts. The model eliminates correlations among indicators and preferences of experts. The validity of the model is demonstrated by a case.