犹豫模糊语言集结算子及其在多属性群决策中的应用  

Hesitant Fuzzy Linguistic Aggregation Operators and Their Application to Multiple Attribute Group Decision Making

作　　者：施明华 肖庆宪[1] 

机构地区：[1]上海理工大学管理学院,上海200093 [2]皖西学院金融与数学学院,安徽六安237012 [3]皖西学院金融风险智能控制与预警研究中心,安徽六安237012

出　　处：《模糊系统与数学》2017年第5期68-79,共12页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11171221);安徽省高校人文社会科学重点研究项目(SK2015A563);安徽省自然科学基金资助项目(1508085QA04);安徽省高校省级自然科学研究重点项目(KJ2016A742;KJ2017A402);安徽省优秀青年人才基金资助项目(gxyq2017058)

摘　　要：犹豫模糊语言术语集是在犹豫模糊集和语言术语集的基础上,建立的一种更为合理的处理定性信息的方法。属性变量为犹豫模糊语言的群决策问题是近年来决策科学的一个研究热点,采用算子进行信息集结是解决该问题的一种有效方法。本文将幂几何算子引入到犹豫模糊语言变量环境下,定义了犹豫模糊语言加权幂几何算子、犹豫模糊语言加权幂有序几何算子、犹豫模糊语言线性加权幂有序几何算子,并探讨了它们的相关性质和特例。新算子通过综合考虑变量位置和自身重要性及相互间的支撑度,从而使决策结果更加令人信服。基于上述算子,论文还提出一种犹豫模糊语言多属性群决策方法,并通过数值案例验证方法的可行性和有效性。Motivated by linguistic term set and hesitant fuzzy set, the hesitant fuzzy linguistic term set was introduced and it is a more reasonable method to deal with qualitative information. Multiple attribute group decision making （MAGDM） with hesitant fuzzy linguistic information is a research hotspot of decision making in recent years. Aggregation operators are effective tools for MAGDM. Based on the power geometric operator （PG）, this paper proposes hesitant fuzzy linguistic power geometric operator, hesitant fuzzy linguistic ordered power geometric operator, and hesitant fuzzy linguistic linear ordered power geometric operator. Moreover, some desirable properties and special cases of these aggregation operators are investigated. Besides the weight information of location, the defined operators also take into consideration the weight information of date and the support between the values. Therefore, decision making results based on the operators are much more convincing. Then we utilize these operators to develop an approach to MAGDM with hesitant fuzzy linguistic information. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

关 键 词：犹豫模糊语言术语集 群决策 信息集结 幂几何算子 

分 类 号：C934[经济管理—管理学]