Title
Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm
Abstract
This paper extends Archimedean t-norm and t-conorm to aggregate the dual hesitant fuzzy linguistic information. Firstly, some basic concepts of dual hesitant fuzzy linguistic elements (DHFLEs) and operational rules of Archimedean t-norm and t-conorm are introduced. Secondly, some general operators about the DHFLEs are developed based on Archimedean t-norm and t-conorm, such as the Archimedean t-norm- and t-conorm-based dual hesitant fuzzy linguistic weighted averaging operator, Archimedean t-norm- and t-conorm-based dual hesitant fuzzy linguistic weighted geometric operator, Archimedean t-norm- and t-conorm-based generalized dual hesitant fuzzy linguistic weighted averaging operator, Archimedean t-norm- and t-conorm-based generalized dual hesitant fuzzy weighted geometric operator, which operates without loss of information, and some desirable properties of those new operators are studied in detail. Furthermore, an approach based on the proposed operators under dual hesitant fuzzy linguistic decision-making problem is presented. Finally, an example is used to show the practical advantages of the proposed method and a sensitivity analysis of the decision results is also showed as the parameter changes.
Year
DOI
Venue
2019
10.1007/s00521-018-3534-x
Neural Computing and Applications
Keywords
Field
DocType
Dual hesitant fuzzy linguistic set, Archimedean t-norm, Archimedean t-conorm, Multi-attribute decision making, Aggregation operators
T-norm,Rule-based machine translation,Fuzzy logic,Operator (computer programming),Linguistics,Mathematics
Journal
Volume
Issue
ISSN
31.0
11
1433-3058
Citations 
PageRank 
References 
0
0.34
60
Authors
4
Name
Order
Citations
PageRank
Nian Zhang111.70
Zhigang Yao200.34
Yufeng Zhou300.34
Gui-Wu Wei416319.00