路基下岩溶稳定性评价的模糊多层次多属性决策方法研究

影响高速公路路基下岩溶稳定性的因素很多,影响程度各不相同且包含各种模糊信息。基于实际工程资料,综合运用层次分析方法和模糊多属性决策方法,建立路基下岩溶顶板稳定性评价的模糊多层次多属性决策模型;采用Laagoven和Buckley关于层次分析方法中权重比矩阵元素模糊化的建议,推导出权重比矩阵元素为三角模糊数的模糊权值向量计算公式,再按照模糊平均加权方法(F-SAW)得到每个评语的模糊效应值;最后以此结果进行模糊集排序,得到岩溶顶板稳定性的评语。实际工程的应用结果表明了方法的可行性和有效性,为岩溶区路基稳定性评价提供了新的思路和方法。

云模型双重积分算子的层次多属性决策方法

由于实际决策问题的复杂性,大多数指标间都具有相互依赖的特征,因此针对不确定环境下指标间具有关联性的多属性决策问题,提出了一种以层次结构为框架、云模型双重积分(C-TI)为聚合算子的决策方法。首先为了体现决策者在确定指标权重时的不确定思维提出了云模型模糊测度;其次在云模型模糊测度的基础上构建了云模型双重积分算子,该算子将云模型作为决策信息的表征,充分体现出决策信息的模糊性和随机性,且应用结合Choquet积分与Sugeno积分优势的双重积分聚合各指标值,其不仅可以有效处理指标间的交互性问题,还能够考虑到指标值与权重的侧重关系;随后讨论了云模型双重积分算子的定理和性质以及特定条件的变化形式,并给出了相应证明;最后构建出云模型双重积分算子的层次多属性决策方法,并将该方法应用到企业社会责任的评估问题上,通过与其他模型的比较,进一步说明所构建的方法适用于处理模糊与随机的不确定问题,并且能够在指标具有关联性的条件下同时考虑到整体的决策效果。

Alunite processing method selection using the AHP and TOPSIS approaches under fuzzy environment

Alunite is the most important non bauxite resource for alumina. Various methods have been proposed and patented for processing alunite, but none has been performed at industrial scale and no technical,operational and economic data is available to evaluate methods. In addition, selecting the right approach for alunite beneficiation, requires introducing a wide range of criteria and careful analysis of alternatives.In this research, after studying the existing processes, 13 methods were considered and evaluated by 14 technical, economic and environmental analyzing criteria. Due to multiplicity of processing methods and attributes, in this paper, Multi Attribute Decision Making methods were employed to examine the appropriateness of choices. The Delphi Analytical Hierarchy Process(DAHP) was used for weighting selection criteria and Fuzzy TOPSIS approach was used to determine the most profitable candidates. Among 13 studied methods, Spanish, Svoronos and Hazan methods were respectively recognized to be the best choices.