基于Choquet 积分的直觉不确定语言信息集结算子及其应用

基于直觉不确定语言信息,针对属性间不严格相互独立且具有较大关联度的群决策问题,提出了两种基于直觉不确定语言信息的Choquet积分算子.首先,分析了因属性关联使得以往直觉不确定语言信息集结算子失效的现象,对此引入模糊测度,提出了直觉不确定语言的Choquet加权算术平均算子(IULCWA)和直觉不确定语言的Choquet加权几何平均算子(IULCGM);然后,证明了算子的相关性质,研究了属性间相关的、属性值为直觉不确定语言数的多属性群决策方法;最后,通过实例分析说明了以往直觉不确定语言信息集结算子的局限性以及新算子的有效性.

Intuitionistic uncertain linguistic information aggregation operators based on Choquet integral and their application

Based on intuitionistic uncertain linguistic information, for the decision-making problem of the non-strictly independent and interacting among criteria, the two kinds of the intuitionistic uncertain linguistic Choquet integral operators are proposed. Fristly, the phenomenon of the previous failure intuitionistic uncertain linguistic information aggregation operator handling the interacting criteria is analyzed, the fuzzy measure is introduced, and the intuitionistic uncertain linguistic Choquet weighted averaging operator(IULCWA) and the intuitionistic uncertain linguistic Choquet geometric mean operator(IULCGM) are defined. Then the properties of these operators are proved, and an approach for solving the interacting multiple attribute values taking the form of the intuitionistic uncertain linguistic numbers is considered based on these operators. Finally, an illustrative example is provided to illustrate the limitation of the previous intuitionistic uncertain linguistic information aggregation operator and the effectiveness of the proposed operator.