Abstract: With respect to the problems of Multiple Attribute Group Decision-Making（MAGDM） in which the attribute values are in the form of Interval-Valued Intuitionistic Trapezoidal Fuzzy Numbers（IVITFN） and attributes are associated with each other. This paper presents a method based on Interval-Valued Intuitionistic Trapezoidal Fuzzy Geometric Weighted Heronian Means（IVITFGWHM） operator. Firstly, according to the IVITFN’s operational laws and GHM operator, it defines Interval-Val ued Intuitionistic Trapezoidal Fuzzy Geometric Heronian Means（IVITFGHM） operator and IVITFGWHM operator. Then, it researches the related properties, constructs a multi-attribute decision group making model based on IVITFGWHM operator, which is for making decisions combining with sort methods. Finally, this paper gives an illustrative example of MAGDM problems to demonstrate the effectiveness and feasibility of the proposed operator.

Key words: interval-valued intuitionistic trapezoidal , fuzzy number, interval-valued intuitionistic trapezoidal fuzzy geometric Heronian means operator, multi-attribute group decision making

摘要： 针对决策信息为区间直觉梯形模糊数（IVITFN）且属性间存在相互关联的多属性群决策（MAGDM）问题，提出了一种区间直觉梯形模糊几何加权Heronian平均算子（IVITFGWHM）的决策方法。基于IVITFN的运算法则和几何Heronian平均（GHM）算子，定义了IVITFGHM算子和IVITFGWHM算子。研究了这些算子的一些性质，建立基于IVITFGWHM算子的MAGDM模型，结合排序方法进行决策。通过MAGDM算例验证了该算子的有效性与可行性。

关键词: 区间直觉梯形模糊数, 区间直觉梯形模糊几何Heronian平均算子, 多属性群决策