关键词: 多属性群决策, 犹豫模糊语言集, Heronian几何平均, Archimedean范数, 信息安全系统

Abstract: In view of the Multi-Attribute Group Decision Making（MAGDM） problem in which the attribute values are in the form of hesitant fuzzy linguistic information and attribute arguments are associated with each other, a MAGDM model based on the Hesitant Linguistic Heronian Geometric（HLHG） operator is developed. Firstly, some new hesitant fuzzy linguistic operation laws are defined on the basis of Archimedean norm. Then, the HLHG operator is proposed, and the properties of the HLHG operator are discussed. Some special cases of the HLHG operator are studied and the Hesitant Linguistic Heronian Weighted Geometric（HLHWG） operator is introduced. In addition, based on HLHWG operator, a novel hesitant fuzzy linguistic MAGDM model is investigated, which can capture the relationship among the input decision making information and enable decision maker to select different parameters to make decision with their preference. In the end, the presented method is applied to select the information security systems to demonstrate its practicality and effectiveness.

Key words: Multi-Attribute Group Decision Making（MAGDM）, hesitant fuzzy linguistic set, Heronian geometric mean, Archimedean norm, information security system