Complexity 2018:1-16 (2018)
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Abstract |
The proposed hesitant fuzzy linguistic set is a powerful tool for expressing fuzziness and uncertainty in multiattribute group decision-making. This paper aims to propose novel aggregation operators to fuse hesitant fuzzy linguistic information. First, we briefly recall the notion of HFLS and propose new operations for hesitant fuzzy linguistic elements. Second, considering the Muirhead mean is a useful aggregation technology that can consider the interrelationship among all aggregated arguments, we extend it to hesitant fuzzy linguistic environment and propose new hesitant fuzzy linguistic aggregation operators, such as the hesitant fuzzy linguistic Muirhead mean operator, the hesitant fuzzy linguistic dual Muirhead mean operator, the hesitant fuzzy linguistic weighted Muirhead mean operator, and the hesitant fuzzy linguistic weighted dual Muirhead mean operator. These operators can reflect the correlations among all HFLEs. Several desirable properties and special cases of the proposed operators are also studied. Furthermore, we propose a novel approach to MAGDM in a hesitant fuzzy linguistic context based on the proposed operators. Finally, we conduct a numerical experiment to demonstrate the validity of our method. Additionally, we compare our method with others to illustrate its merits and superiorities.
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DOI | 10.1155/2018/5087851 |
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References found in this work BETA
Multiple Criteria Decision Making Method Based on Normal Interval-Valued Intuitionistic Fuzzy Generalized Aggregation Operator.Peide Liu & Fei Teng - 2016 - Complexity 21 (5):277-290.
Multiple Criteria Decision Making Method Based on Normal Interval-Valued Intuitionistic Fuzzy Generalized Aggregation Operator.Peide Liu & Fei Teng - 2016 - Complexity 21 (5):20-30.
Total Ordering for Intuitionistic Fuzzy Numbers.V. Lakshmana Gomathi Nayagam, S. Jeevaraj & Sivaraman Geetha - 2016 - Complexity 21 (S2):54-66.
Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making.Donghai Liu, Xiaohong Chen & Dan Peng - 2017 - Complexity:1-11.
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Citations of this work BETA
Group Decision-Making Approach Based on Generalized Grey Linguistic 2-Tuple Aggregation Operators.Lidong Wang & Yanjun Wang - 2018 - Complexity 2018:1-14.
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2018-06-27
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1 ( #428,301 of 2,498,022 )
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