考虑交叉影响的直觉不确定语言多属性群决策方法

Multi-attribute group decision making method with intuitionistic uncertain linguistic number based on interaction impact

针对隶属度或非隶属度为零的直觉不确定语言数,已定义的直觉不确定语言基本运算存在不合理性,导致信息集结结果出现较大偏差.考虑直觉不确定语言数的隶属度与非隶属度之间可能存在的交叉影响,定义新的加法、数乘、乘法及幂乘运算,在此基础上给出直觉不确定语言加权交叉算术平均算子、有序算术平均算子及混合交叉算术平均算子,同时给出直觉不确定语言加权交叉几何平均算子、有序几何平均算子及混合几何平均算子.根据算子本身的特点给出考虑交叉影响的直觉不确定语言多属性群决策方法,并通过算例验证所给决策方法的有效性与可行性.

With respect to intuitionistic uncertain linguistic number which membership function and non-membership function are zero, the defined fundamental operation of intuitionistic uncertain linguistic number exists irrationality, this point caused a big deviation to gathered results. The possible interactions between the membership function and the non-membership function of intuitionistic uncertain linguistic number are considered, the addition, multiplica- tion, multiplication, and power multiplication are redefined, intuitionistic uncertain linguistic weighted interaction arithmetic averaging operator, ordered arithmetic averaging operator and hybrid arithmetic averaging operator are proposed. Meanwhile, intuitionistic uncertain linguistic weighted interaction geometric averaging operator, ordered geometric averaging operator and hybrid geometric averaging operator are proposed. According to the characteristics of the proposed operators, intuitionistic uncertain linguistic multi-attribute group decision making method considered interaction is investigated, gives an example to show the feasibility and validity of the method.