基于不确定语言区间直觉模糊Choquet积分的决策方法研究  

Research on Decision-Making Method based on Uncertain Linguistic interval-valued Intuitionistic Fuzzy Choquet Integral

作　　者：王红娟 Wang Hongjuan(Neijiang Normal University,Neijiang 641000,Sichuan,China)

机构地区：[1]内江师范学院,四川内江641100

出　　处：《绿色科技》2021年第14期269-273,共5页Journal of Green Science and Technology

摘　　要：由于专家对某一物品的评价用语言变量评价要比用直觉模糊数更方便,如评价某用品的质量,可以直接用“好”“差”来进行评价。为此,介绍了不确定语言区间直觉模糊Choquet积分平均(ULIVIFCA)和不确定语言区间直觉模糊Choquet积分几何(ULIVIFCG)受语言区间直觉模糊集的启发,Choquet积分能够刻画属性间的关联和属性的重要性通过模糊测度。并且介绍了比较不确定语言区间直觉模糊数大小的方法,还给出了ULIVIFCA和ULIVIFCG各自的性质。最后,给出了一个群决策方法根据ULIVIFCA和ULIVIFCG,并且运用介绍的群决策方法于实例中,探讨了如何从几个方案里选出一个最优的方案且说明介绍的方法的实用性。It is more convenient for experts to evaluate an item with linguistic variables than intuitionistic fuzzy numbers,for example,when evaluating the quality of an item,it can be directly evaluated with“good”or“bad”.Hence,it introduces the uncertain linguistic interval-valued intuitionistic fuzzy Choquet integral averaging(ULIVIFCA)and the uncertain linguistic interval-valued intuitionistic fuzzy Choquet integral geometric(ULIVIFCG)inspired by linguistic interval-valued intuitionistic fuzzy sets,Choquet integral can depict the relationship between the attributes and the importance of the attributes by fuzzy measure.Also,the way of comparing the uncertain linguistic interval-valued intuitionistic fuzzy numbers,and the properties of the ULIVIFCA and ULIVIFCG are introduced,respectively.Finally,a multiple attribute group decision-making approach is given based on the ULIVIFCA and ULIVIFCG which is used in example,discussing how to select an optimal approach from several approaches and explaining the practicability of the introduced method.

关 键 词：区间直觉模糊集 CHOQUET积分 不确定语言区间直觉模糊数 多属性群决策方法 

分 类 号：O159[理学—数学]