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Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods

1
School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2
Department of Management Control and Information Systems, University of Chile, Santiago 8330015, Chile
3
School of Management, Nanchang University, Nanchang 330031, China
*
Author to whom correspondence should be addressed.
Information 2019, 10(6), 206; https://doi.org/10.3390/info10060206
Received: 9 May 2019 / Revised: 20 May 2019 / Accepted: 4 June 2019 / Published: 8 June 2019
PDF [861 KB, uploaded 8 June 2019]
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Abstract

In this paper, we consider multiple attribute group decision making (MAGDM) problems in which the attribute values take the form of intuitionistic uncertain linguistic variables. Based on Hamacher operations, we developed several Hamacher aggregation operators, which generalize the arithmetic aggregation operators and geometric aggregation operators, and extend the algebraic aggregation operators and Einstein aggregation operators. A number of special cases for the two operators with respect to the parameters are discussed in detail. Also, we developed an intuitionistic uncertain linguistic generalized Hamacher hybrid weighted average operator to reflect the importance degrees of both the given intuitionistic uncertain linguistic variables and their ordered positions. Based on the generalized Hamacher aggregation operator, we propose a method for MAGDM for intuitionistic uncertain linguistic sets. Finally, a numerical example and comparative analysis with related decision making methods are provided to illustrate the practicality and feasibility of the proposed method.
Keywords: intuitionistic uncertain linguistic sets; Hamacher aggregation operator; multiple attribute group decision making intuitionistic uncertain linguistic sets; Hamacher aggregation operator; multiple attribute group decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Jin, Y.; Wu, H.; Merigó, J.M.; Peng, B. Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods. Information 2019, 10, 206.

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