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  2018, Vol. 31 Issue (9): 816-836    DOI: 10.16451/j.cnki.issn1003-6059.201809005
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Q-Rung Hesitant Fuzzy Sets and Its Application to Multi-criteria Decision-Making
XU Yue1, LIU Lianzhen1
1.School of Computer Science and Engineering, Minnan Normal University, Zhangzhou 363000;
2.School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000;
3.Key Laboratory of Data Science and Intelligence Application, Fujian Province University, Zhangzhou 363000;
4.Key Laboratory of Granular Computing, Minnan Normal University, Zhangzhou 363000

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Abstract  

Basic operations of q-rung fuzzy sets are defined, and some of their properties are studied. By combining q-rung fuzzy sets and hesitant fuzzy sets, the concept of q-rung hesitant fuzzy sets is proposed. Then, some basic operations of q-rung hesitant fuzzy sets are defined and their properties are studied. Score functions and accuracy functions of q-rung hesitant fuzzy sets are defined. Based on the operations of q-rung hesitant fuzzy sets, the multi-criteria decision making model is constructed, and the feasibility and validity of the proposed model are verified by examples.

Key wordsq-Rung Fuzzy Sets      Hesitant Fuzzy Sets      q-Rung Hesitant Fuzzy Sets      Decision-Making     
Received: 07 June 2018     
ZTFLH: TP 181  
  O 159  
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Cite this article:   
XU Yue,LIU Lianzhen. Q-Rung Hesitant Fuzzy Sets and Its Application to Multi-criteria Decision-Making[J]. , 2018, 31(9): 816-836.
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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201809005      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2018/V31/I9/816
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