Journal
INFORMATION SCIENCES
Volume 430, Issue -, Pages 599-619Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2017.11.059
Keywords
Fuzzy sets (FSs); Intuitionistic fuzzy numbers (IFNs); 2-tuple linguistic (2TL); Multiattribute group decision making
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Funding
- Special Funds of Taishan Scholars Project of Shandong Province [ts201511045]
- National Natural Science Foundation of China [71771140, 71471172]
- Ministry of Science and Technology, Republic of China [MOST 104-2221-E-011-084-MY3]
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In this paper, we propose a new method for multiattribute group decision making (MAGDM) with the intuitionistic 2-tuple linguistic (I2L) information based on the proposed I2L generalized aggregation (I2LGA) operator. Firstly, we extend the Archimedean T-norm (TN) and T-conorm (TC) from the range [0, 1] to [0, t] (t>0), and propose the extended TN and TC. Then, we develop general operational laws for the I2L information (I2L1) and propose the I2L generalized aggregation (I2LGA) operator for the I2LI based on extended TN and TC, and give some special cases and some of their properties with respect to some types of the extended TN and TC. Then, we propose a new MAGDM method with the I2LI based on the proposed I2LGA operator. Finally, we use an application example to verify the validity of the proposed MAGDM method and to show its advantages compared to existing MAGDM methods. (C) 2017 Elsevier Inc. All rights reserved.
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