基于ε-修正的直觉模糊信息集成方法及其在决策中的应用

Methods of aggregating intuitionistic fuzzy information based onε-amended and their applications in decision making

已有的一些直觉模糊集成算子在处理一些特殊直觉模糊数时会出现反直觉现象。首先介绍了两个直觉模糊集成算子和直觉模糊数的比较方法。接着,举例说明了这些集成算子在某些情况下出现的反直觉现象。然后提出了基于ε-修正的直觉模糊集成算子,并讨论了ε取值对此算子结果的影响。之后建立了一种基于ε-修正的直觉模糊集成算子的决策方法。最后通过一个实例比较了原集成算子和本文提出的修正集成算子的集成结果,验证基于ε-修正的直觉模糊集成算子可以修正这些反直觉现象,这也拓宽了原集成算子的使用范围。

When some existing intuitionistic fuzzy aggregation operators are used to aggregate certain special intuitionistic fuzzy values, the results are counter-intuitive. We first introduce two intuitionistic fuzzy aggregation operators and a method for comparing intuitionistic fuzzy values. Then some examples are given to illustrate the intuitionistic fuzzy aggregation operators which lead to some counter-intuitive results. We also propose new intuitionistic fuzzy aggregation operators based on ε-amended, and investigate the influence the values of ε on aggregating results. A decision making method based on ε-amended intuitionistic fuzzy aggregation operators is constructed. Finally, a practical example is given to compare the aggregating results that aggregated by the existing intuitionistic fuzzy aggregation operators and ε-a-mended intuitionistic fuzzy aggregation operators respectively, which proves that ε-amended intuitionistic fuzzy aggregation operators can amend counter-intuitive results. And ε-amended intuitionistic fuzzy aggregation operators can also extend the range of use of the existing intuitionistic fuzzy aggregation op-erators.