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2-Tuple Linguistic Hesitant Fuzzy Aggregation Operators and Its Application to Multi-Attribute Decision Making
Volume 28, Issue 2 (2017), pp. 329–358
Pub. online: 1 January 2017      Type: Research Article      Open accessOpen Access
Received
1 October 2015
Accepted
1 December 2016
Published
1 January 2017

Abstract

In this paper, a new class of uncertain linguistic variables called 2-tuple linguistic hesitant fuzzy sets (2-TLHFSs) is defined, which can express complex multi-attribute decision-making problems as well as reflect decision makers’ hesitancy, uncertainty and inconsistency. Besides, it can avoid information and precision losing in aggregation process. Firstly, several new closed operational laws based on Einstein t-norm and t-conorm are defined over 2-TLHFSs, which can overcome granularity and logical problems of existing operational laws. Based on the new operational laws, 2-tuple linguistic hesitant fuzzy Einstein weighted averaging (2-TLHFEWA) operator and 2-tuple linguistic hesitant fuzzy Einstein weighted geometric (2-TLHFEWG) operator are proposed, and some of their properties are investigated. Then, a new model method based on similarity to ideal solution is proposed to determine weights of attribute, which takes both subjective and objective factors into consideration. Finally, a linguistic hesitant fuzzy multi-attribute decision making procedure is developed by means of 2-TLHFEWA and 2-TLHFEWG operators. An example is given to illustrate the practicality and efficiency of the proposed approach.

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Biographies

Tan Chunqiao
chungqiaot@mail.csu.edu.cn
chunqiao@sina.com

C. Tan received his PhD degree in management science and engineering from Beijing Institute of Technology in 2006. He is a professor in Nanjing Audit University. He has contributed over 30 journal articles to professional journals such as IEEE Transactions on Fuzzy Systems, Fuzzy Sets and Systems, Journal of the Operational Research Society, Knowledge-Based Systems, Fuzzy Optimization and Decision Making, Applied Soft Computing, International Journal of Fuzzy Systems, International Journal of Intelligent and Fuzzy Systems. His current research interests include decision analysis and game theory.

Jia Yuan

Y. Jia is a master degree candidate in management science and engineering at the business school of Central South University. Her research interest is decision-making theory and application.

Chen Xiaohong

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Keywords
multi-attribute decision making aggregation operator 2-tuple linguistic hesitant fuzzy sets 2-tuple linguistic hesitant fuzzy Einstein weighted averaging operators 2-tuple linguistic hesitant fuzzy Einstein weighted geometric operator

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