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The Multi-Attributive Border Approximation Area Comparison (MABAC) for Multiple Attribute Group Decision Making Under 2-Tuple Linguistic Neutrosophic Environment
Volume 30, Issue 4 (2019), pp. 799–818
Pub. online: 1 January 2019      Type: Research Article      Open accessOpen Access
Received
1 November 2018
Accepted
1 April 2019
Published
1 January 2019

Abstract

In this paper, we present the 2-tuple linguistic neutrosophic MABAC model based on the traditional MABAC (multi-attributive border approximation area comparison) model and some fundamental theories of 2-tuple linguistic neutrosophic information. Firstly, we briefly review the definition of 2-tuple linguistic neutrosophic sets (2TLNNSs) and introduce the score function, accuracy function, operation laws and some aggregation operators of 2TLNNs. Then, the calculation steps of traditional MABAC model are briefly presented. Furthermore, combine the traditional MABAC model with 2TLNNs information, the 2-tuple linguistic neutrosophic MABAC model is established for multiple attribute group decision making (MAGDM) and the computing steps are simply depicted. In our presented model; it’s more accuracy and effective for computing the distance between each alternatives and the border approximation area (BAA). Finally, a numerical example for safety assessment of construction project has been given to illustrate this new model and some comparisons between 2TLNNs MABAC model and two 2TLNNs aggregation operators are also conducted to further illustrate advantages of the new method.

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Biographies

Wang Ping

P. Wang is a current master student with Institute of Technology, Sichuan Normal University, Chengdu, 610101, PR China.

Wang Jie

J. Wang is a current master student with School of Business at Sichuan Normal University, Chengdu, 610101, PR China. He has published more than 10 papers in journals, such as International Journal of Intelligent Systems, Journal of Intelligent and Fuzzy Systems, IEEE Access, Mathematics, Symmetry-Base. He is currently interested in multiple attribute decision making and computing with words.

Wei Guiwu
weiguiwu1973@sicnu.edu.cn

G. Wei has an MSc and a PhD degree in applied mathematics from SouthWest Petroleum University, business administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher with the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-based Systems, International Journal of Intelligent Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems, International Journal of Machine Learning and Cybernetics, Fundamenta Informaticae, Informatica, Kybernetes, International Journal of Knowledge-based and Intelligent Engineering Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Wei Cun

C. Wei has an MSc degree in applied mathematics from SouthWest Petroleum University. Now, he is a PhD student with School of Statistics, Southwestern University of Finance and Economics, Chengdu, 611130, PR China. He has published more than 10 papers in journals, such as International Journal of Intelligent Systems, Journal of Intelligent and Fuzzy Systems, IEEE Access, Mathematics, Information. He is currently interested in aggregation operators, decision making and computing with words.

Wei Yu

Y. Wei has an MSc and a PhD degree in management science and engineering from Southwest Jiaotong University, China. He is a professor in the School of Finance at Yunnan University of Finance and Economics. He has published more than 120 papers in journals, books and conference proceedings including journals such as Journal of Forecasting, Journal of Banking & Finance, Empirical Economics, Energy Economics, Economic Modelling, Applied Economics Letters, International Review of Economics & Finance. He has published two books (in Chinese). He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Energy Economics, Journal of Forecasting, Emerging Market Finance and Trade, Physica A. He is currently interested in volatility modelling and forecasting in financial and energy markets, density forecasting and decision making in financial markets.


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Keywords
multiple attribute group decision making(MAGDM) 2-tuple linguistic neutrosophic sets (2TLNSs) MABAC model 2-tuple linguistic neutrosophic number weighted average (2TLNNWA) operators 2-tuple linguistic neutrosophic number weighted geometric (2TLNNWG) operators 2TLNNs MABAC model construction project

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