Linguistic hesitant fuzzy power aggregation operators and their applications in multiple attribute decision-making

被引:48
|
作者
Zhu, Chuanxi [1 ]
Zhu, Li [2 ]
Zhang, Xiaozhi [1 ]
机构
[1] Nanchang Univ, Coll Sci, Nanchang 330031, Peoples R China
[2] Jiangxi Agr Univ, Coll Sci, Nanchang 330045, Peoples R China
基金
中国国家自然科学基金;
关键词
Multiple attribute decision-making; Cloud model; Linguistic hesitant fuzzy sets; Comprehensive cloud; Power average operator; TERM SETS; GEOMETRIC OPERATORS; SIMILARITY MEASURES; AVERAGE OPERATOR; CLOUD MODEL; INFORMATION; ENVIRONMENT; DISTANCE;
D O I
10.1016/j.ins.2016.07.011
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
As a generalization of hesitant fuzzy sets (HFSs) and hesitant fuzzy linguistic term sets (HFLTSs), linguistic hesitant fuzzy sets (LHFSs) establish a proper interpretation of the hesitancy, inconsistency and uncertainty of experts in evaluating decision alternatives. In this paper, based on the cloud model, we discuss multiple attribute decision-making problems with linguistic hesitant fuzzy information. To extend the applicability of LHFSs, we introduce the concept of a comprehensive cloud of LHFSs that is based on which form of LHFSs with different length can be unified. Utilizing the comprehensive cloud, we define the distance measure between two LHFSs, which makes the support measure of two LHFSs possible. By extending the power operators to the linguistic hesitant fuzzy environment, a series of linguistic hesitant fuzzy power aggregation operators are established. We also study the properties and applications of these aggregation operators and develop two approaches for linguistic hesitant fuzzy multiple attribute decision-making. Finally, two practical examples are given to demonstrate the applicability and effectiveness of the proposed approach. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:809 / 826
页数:18
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