RETRACTED: Hesitant fuzzy linguistic aggregation operators and their application to multiple attribute decision making
Journal of Intelligent & Fuzzy SystemsPublished 1 January 2014
Rui Lin, Xiaofei Zhao, Hongjun Wang, Guiwu Wei
Citations68
SJR quartileQ2
SJR score0.36
SNIP0.62
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TL;DR
This paper has developed some aggregation operators for aggregating hesitant fuzzy linguistic information and utilized these operators to develop some approaches to solve the hesitation fuzzy linguistic multiple attribute decision making problems.
Abstract
In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the ideal of traditional arithmetic and geo
Keywords
Computer ScienceDecision SciencesEnvironmental Science
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IEEE Transactions on Fuzzy SystemsA 2-tuple fuzzy linguistic representation model for computing with words
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