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Abstract
In this paper, we investigate the multiple attribute decision making problems with fuzzy number intuitionistic fuzzy information. Firstly, some operational laws of fuzzy number intuitionistic fuzzy values, score function and accuracy function of fuzzy number intuitionistic fuzzy values are introduced. Then, we have developed two fuzzy number intuitionistic fuzzy Choquet integral aggregation operators: induced fuzzy number intuitionistic fuzzy choquet ordered averaging (IFNIFCOA) operator and induced fuzzy number intuitionistic fuzzy choquet ordered geometric (IFNIFCOG) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of the IFNIFCOA and IFNIFCOG operators, such as commutativity, idempotency and monotonicity, and applied the IFNIFCOA and IFNIFCOGM operators to multiple attribute decision making with fuzzy number intuitionistic fuzzy information. Finally an illustrative example has been given to show the developed method.
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Notes on contributors
Guiwu Wei
Guiwu WEI has a 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. He is an Associate Professor in the Department of Economics and Management at Chongqing University of Arts and Sciences. He has published more than 90 papers in journals, books and conference proceedings including journals such as Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Knowledge-based Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems and Information: An International 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 ofComputational Intelligence Systems and European Journal of Operational Research. He is currently interested in Aggregation Operators, Decision Making and Computing with Words.
Rui Lin
Rui LIN is a lecturer in Department of Economics and Management, Chongqing University of Arts and Sciences. He received the B.E. degree in management sciences and engineer from Chengdu University of Technology, China. He has worked for Department of Economics and Management, Chongqing University of Arts and Sciences, China as a lecturer since 2007.
Xiaofei Zhao
Xiaofei ZHAO is a lecturer in Department of Economics and Management, Chongqing University of Arts and Sciences. He received the B.E. degree in management sciences and engineer from SouthWest Jiaotong University, China. He has worked for Department of Economics and Management, Chongqing University of Arts and Sciences, China as a lecturer since 2010.
Hongjun Wang
Hongjun WANG is a lecturer in Department of Economics and Management, Chongqing University of Arts and Sciences. She received the B.E.and M.E. degree in management sciences and engineer from SouthWest Petroleum University, China. He has worked for Department of Economics and Management, Chongqing University of Arts and Sciences, China as a lecturer since 2006.
