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Information 2017, 8(3), 84; doi:10.3390/info8030084

Single-Valued Neutrosophic Hybrid Arithmetic and Geometric Aggregation Operators and Their Decision-Making Method

Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
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Received: 25 June 2017 / Revised: 11 July 2017 / Accepted: 13 July 2017 / Published: 15 July 2017
(This article belongs to the Section Information Theory and Methodology)
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Abstract

Single-valued neutrosophic numbers (SVNNs) can express incomplete, indeterminate, and inconsistent information in the real world. Then, the common weighted aggregation operators of SVNNs may result in unreasonably aggregated results in some situations. Based on the hybrid weighted arithmetic and geometric aggregation and hybrid ordered weighted arithmetic and geometric aggregation ideas, this paper proposes SVNN hybrid weighted arithmetic and geometric aggregation (SVNNHWAGA) and SVNN hybrid ordered weighted arithmetic and geometric aggregation (SVNNHOWAGA) operators and investigates their rationality and effectiveness by numerical examples. Then, we establish a multiple-attribute decision-making method based on the SVNNHWAGA or SVNNHOWAGA operator under a SVNN environment. Finally, the multiple-attribute decision-making problem about the design schemes of punching machine is presented as a case to show the application and rationality of the proposed decision-making method. View Full-Text
Keywords: multiple-attribute decision-making; single-valued neutrosophic number; single-valued neutrosophic number hybrid weighted arithmetic and geometric aggregation (SVNNHWAGA) operator; single-valued neutrosophic number hybrid ordered weighted arithmetic and geometric aggregation (SVNNHOWAGA) operator multiple-attribute decision-making; single-valued neutrosophic number; single-valued neutrosophic number hybrid weighted arithmetic and geometric aggregation (SVNNHWAGA) operator; single-valued neutrosophic number hybrid ordered weighted arithmetic and geometric aggregation (SVNNHOWAGA) operator
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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Lu, Z.; Ye, J. Single-Valued Neutrosophic Hybrid Arithmetic and Geometric Aggregation Operators and Their Decision-Making Method. Information 2017, 8, 84.

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