广义犹豫模糊语言项集及其似然关系  

Generalized Hesitant Fuzzy Lingusitic Term Set for Lingusitic Decision Making

作　　者：黎筱惠 晏力 裴峥 LI Xiaohui;YAN Li;PEI Zheng(School of Science,Xihua University,Chengdu 610039 China;School of Computer and Software Engbwering,Xihua University,Chengdu 610039 China)

机构地区：[1]西华大学理学院,四川成都610039 [2]西华大学计算机与软件工程学院,四川成都610039

出　　处：《西华大学学报（自然科学版）》2018年第6期95-101,共7页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61372187);西华大学创新基金资助项目(yejj2017208)

摘　　要：提出了基于二元组语言模型的广义犹豫模糊语言项集用于犹豫模糊语言决策,给出了广义犹豫模糊语言项集上的运算,分析了广义犹豫模糊语言项集运算的相关性质。基于广义犹豫模糊语言项集运算,定义了广义犹豫模糊语言项集之间的似然关系,利用其似然关系,提出了广义犹豫模糊语言加权平均算子,该算子是已有犹豫模糊语言加权平均算子的推广,可用于聚合犹豫模糊语言决策中的广义犹豫模糊语言项集。In this paper, the concept of generalized hesitant fuzzy linguistic term set based on 2-tuple linguistic model is provided, then several operators on generalized hesitant fuzzy linguistic term sets and their properties are pro- posed and analyzed for aggregating generalized hesitant fuzzy linguistic information in linguistic decision making. Based on these new operators, the likelihood-based comparison relations of generalized hesitant fuzzy linguistic term sets are presented, and the generalized hesitant fuzzy linguistic weighted average operator is designed to fuse generalized hesi- tant fuzzy linguistic term sets in linguistic decision making. An example is used to illustrate the practicality- of the aggre- gation operator based on generalized hesitant fuzzy linguistic term sets, theresult shows that the proposed method can o- vercome the drawback of existed linguistic decision making methods and is an useful and alternative method for hesitant fuzzy linguistic decision making.

关 键 词：二元组语言模型 犹豫模糊语言项集 模糊语言决策 似然关系 聚合算子 

分 类 号：C934[经济管理—管理学] O225[理学—运筹学与控制论]