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

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• 作者：Chuanxi Zhu^a ; ^{chuanxizhu@126.com" class="auth_mail" title="E-mail the corresponding author} ; Li Zhu ; ^b ; ^{zflcz@163.com" class="auth_mail" title="E-mail the corresponding author} ; Xiaozhi Zhang^a ; ^{zhangxiaozhi@ncu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Multiple attribute decision-making ; Cloud model ; Linguistic hesitant fuzzy sets ; Comprehensive cloud ; Power average operator
• 刊名：Information Sciences
• 出版年：2016
• 出版时间：1 November 2016
• 年：2016
• 卷：367-368
• 期：Complete
• 页码：809-826
• 全文大小：600 K

文摘

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.