A novel idea of linguistic interval-valued intuitionistic neutrosophic fuzzy numbers (LIVINFNs) and operational laws of the numbers are introduced in this paper. LIVINF TOPSIS method is developed and application of the developed TOPSIS method to a multi-attribute group decision making (MAGDM) problem in a LIVINF environment is discussed. Finally, a numerical example is presented to validate this new approach in group decision making problems.

中文翻译：

---

处理多属性群体决策问题的新方法

介绍了一种语言区间值直觉中智模糊数（LIVINFNs）的新思想和该数的运算规律。开发了LIVINF TOPSIS方法，并讨论了所开发的TOPSIS方法在LIVINF环境中的多属性小组决策（MAGDM）问题中的应用。最后，给出了一个数值示例来验证这种新方法在群体决策问题中的地位。