区间直觉语言Frank集结算子及其在决策中的应用

基于区间直觉语言变量和Frank算子的概念,首先提出区间直觉语言环境下Frank算子的运算规则;然后介绍几种区间直觉语言Frank信息集成算子,如:区间直觉语言Frank加权算术平均算子、区间直觉语言Frank加权几何平均算子、区间直觉语言广义Frank加权算术平均算子等,并介绍各算子具有的性质,同时,基于上述算子提出两种属性权重为实数且属性值为区间直觉语言变量的多属性决策方法;最后,结合示例表明所提出方法的有效性和实用性.

Interval intuitionistic linguistic Frank aggregation operators and their application in decision making

Based on the interval intuitionistic linguistic variables and the Frank operator, the operational laws of the Frank operator under the interval intuitionistic linguistic circumstance are firstly defined. Then, several interval intuitionistic linguistic Frank aggregation operators are introduced, such as the interval intuitionistic linguistic Frank weighted average operator, the interval intuitionistic linguistic Frank weighted geometric operator, and the interval intuitionistic linguistic Frank generalized weighted average operator, etc. and some of their properties are discussed. Moreover, two approaches are introduced on the basis of the interval intuitionistic linguistic Frank aggregation operators, and an example is given to illustrate the feasibility and effectiveness of the proposed approaches.