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Original Articles

Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making

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Pages 795-809 | Received 16 Dec 2012, Accepted 04 Feb 2013, Published online: 27 Nov 2014
 

Abstract

We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet integral aggregation operators: fuzzy linguistic choquet ordered averaging operator, fuzzy linguistic choquet ordered geometric operator and fuzzy linguistic choquet ordered harmonic mean operator. The prominent characteristic of the operators is that they cannot 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 these operators, such as commutativity, idempotency and monotonicity, and applied these operators to multiple attribute decision making with triangular fuzzy linguistic information. Finally an illustrative example has been given to show the developed method.

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Additional information

Notes on contributors

Rui Lin

Rui LIN is a lecturer in School 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.

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 a Professor in the School 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 of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in Aggregation Operators, Decision Making and Computing with Words.

Hongjun Wang

Hongjun WANG is a lecturer in School of Economics and Management, Chongqing University of Arts and Sciences. He 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.

Xiaofei Zhao

Xiaofei ZHAO is a lecturer in School of Economics and Management, Chongqing University of Arts and Sciences. He received the B.E. degree in applied mathematics from Southwest University, China. He has worked for Department of Economics and Management, Chongqing University of Arts and Sciences, China as a lecturer since 2008.

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