语言区间直觉模糊Frank算子  

Linguistic Interval-Valued Intuitionistic Fuzzy Frank Operators

作　　者：刘利枚 龚尹励 杨艺 吴少智[2] LIU Limei;GONG Yinli;YANG Yi;WU Shaozhi(Key Laboratory of Hunan Province for New Retail Virtual Reality Technology,Hunan University of Technology and Business,Changsha 410205;School of Computer Science and Engineering,University of Elec-tronic Science and Technology of China,Chengdu 611731)

机构地区：[1]湖南工商大学新零售虚拟现实技术湖南省重点实验室,长沙410205 [2]电子科技大学计算机科学与工程学院,成都611731

出　　处：《模式识别与人工智能》2020年第5期413-425,共13页Pattern Recognition and Artificial Intelligence

基　　金：国家社会科学基金项目(No.18BGL181)资助。

摘　　要：针对语言区间直觉模糊信息的集结问题,文中提出Frank集结算子,并构建解决供应商选择问题的群决策方法.首先引入拓展Frank t-模与s-模定义语言区间直觉模糊集的Frank运算法则,提出语言区间直觉模糊Frank加权平均(LIVIFFWA)算子与几何(LIVIFFWG)算子,证明算子的幂等性、封闭性、单调性等基本性质,剖析算子关于参数的退化性.然后,基于LIVIFFWA算子与LIVIFFWG算子构建语言区间直觉模糊多属性群决策方法,用于解决供应商决策问题.最后,通过共享单车回收供应商选择的案例分析验证文中决策方法的可行性和灵活性,讨论参数变化对决策结果的影响,并验证参数具有表征和反馈决策者态度的能力.Aiming at the aggregation problem of linguistic interval-valued intuitionistic fuzzy information,Frank aggregation operator is proposed.A group decision-making method is constructed to solve the problem of supplier selection.Firstly,linguistic interval-valued intuitionistic fuzzy Frank operational laws are defined by introducing the extended Frank t-norms and s-norms,and linguistic interval-valued intuitionistic fuzzy Frank weighted averaging(LIVIFFWA)operator and geometric(LIVIFFWG)operator are proposed.Secondly,some properties of these operators are proved,such as idempotency,closeness and monotonicity,and the degeneracy of these operators with respect to parameters is analyzed.Then,based on the proposed LIVIFFWA operators and LIVIFFWG operators,a linguistic interval-valued intuitionistic fuzzy multi-attribute group decision-making method is constructed to solve the supplier decision-making problem.Finally,the feasibility and flexibility of the decision-making method are demonstrated through the case analysis of the selection of suppliers with shared bicycle recycling.The influence of parameter variation on decision-making results is discussed,and the ability of parameters to represent and feed back the attitudes of decision makers is verified.

关 键 词：FRANK t-模和s- 模 语言区间直觉模糊集 语言区间直觉模糊Frank算子 多属性决策 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]