Abstract: Some intuitionistic linguistic Hamacher weighted aggregation operators with parameter are investigated. The Hamacher operations for intuitionistic linguistic numbers are defined via application of Hamacher t-norm and s-norm. And then, by using these operations, the intuitionistic linguistic Hamacher weighted averaging operator and geometric operator with parameter are proposed. and their properties are also discussed. Furthermore, the relationship between the operators and parameter are analyzed such as the monotonicity of operators and limiting cases of operators with respect to parameter. And the decision making approach is provided based on the developed aggregation operators, and an example is furnished to demonstrated the applicably and effectiveness of the method.

Key words: intuitionistic linguistic number, Hamacher t-norm and s-norm, multiple attribute decision making

摘要： 研究带参数的直觉语言Hamacher集结算子。基于Hamacher t-模与s-模定义直觉语言Hamacher运算法则。而后,利用所提Hamacher运算法则提出含参数的直觉语言Hamacher加权平均算子与几何算子,研究其基本性质。进一步地,剖析算子与参数之间的关系,如算子关于参数的单调性、算子关于参数的退化情况等。 最后,基于所提出的集结算子构建出多属性决策方法,通过算例分析表明所提决策方法的可行性和实用性。

关键词: 直觉语言数, Hamacher t-模和s-模, 属性决策