基于直觉不确定语言新集成算子的多属性决策方法

对于直觉不确定语言环境下的多属性决策问题,给出一种基于直觉不确定语言变量新型集成算子的多属性决策方法.该方法采用阿基米德T-模和S-模定义直觉不确定语言变量的新运算法则,避免了现有运算法则不满足封闭性的不足;并基于新运算法则提出对权重进行自适应确定或调整的直觉不确定语言加权算术平均(IULWA)算子.以及定义直觉不确定语言变量新的期望值和精确值,给出直觉不确定语言变量的一种排序方法.进而提出一种属性权重值为实数且属性值为直觉不确定语言变量的多属性决策方法.最后,通过算例分析说明该方法的有效性和可行性.

Multi-attribute decision making method based on intuitionistic uncertain linguistic new aggregation operator

For a multi-attribute decision making (MADM) problem in which the attribute values are intuitionistic uncertain linguistic variables, we propose a new method of multi-attribute decision making on the basis of intuitionistic uncertain linguistic new aggregation operator. Firstly, based on Archimedean T-norm and S-norm, we define some new operational laws of intuitionistic uncertain linguistic variables (IULVs). The prominent feature of these operations is that these operations are closed. And then, an intuitionistic uncertain linguistic weighted arithmetic averaging (IULWA) operator is proposed. Additionally, intuitionistic uncertain linguistic expected values as well as accuracy function are defined, and by comparing expected value and accuracy value of intuitionistic uncertain linguistic variables, a ranking of intuitionistic uncertain linguistic variables is attained. Finally, analysis of an example shows the feasibility and effectiveness of the method.