Using the Fractional Order Method to Generalize Strengthening Buffer Operator and Weakening Buffer Operator

Lifeng Wu; Sifeng Liu; Yingjie Yang

doi:10.1109/JAS.2016.7510214

Volume 5 Issue 6

Nov. 2018

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2018 > 5(6): 1074-1078

Lifeng Wu, Sifeng Liu and Yingjie Yang, "Using the Fractional Order Method to Generalize Strengthening Buffer Operator and Weakening Buffer Operator," IEEE/CAA J. Autom. Sinica, vol. 5, no. 6, pp. 1074-1078, Nov. 2018. doi: 10.1109/JAS.2016.7510214

Citation:

Lifeng Wu, Sifeng Liu and Yingjie Yang, "Using the Fractional Order Method to Generalize Strengthening Buffer Operator and Weakening Buffer Operator," IEEE/CAA J. Autom. Sinica, vol. 5, no. 6, pp. 1074-1078, Nov. 2018. doi: 10.1109/JAS.2016.7510214

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Using the Fractional Order Method to Generalize Strengthening Buffer Operator and Weakening Buffer Operator

doi: 10.1109/JAS.2016.7510214

Lifeng Wu^{1
,
,},
Sifeng Liu^{2, 3
,},
Yingjie Yang^2
,

1.
College of Economics and Management, Hebei University of Engineering, Handan 056038, China
2.
Centre for Computational Intelligence, De Montfort University, Leicester LE1 9BH, UK
3.
Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Funds:

the National Natural Science Foundation of China 71401051

China Postdoctoral Science Foundation 2018M630562

the Leverhulme Trust International Network IN-2014-020

the Cultural and Artistic Scientific Research Project of Hebei Province HBWY2014-Y-C031

More Information

Author Bio:
Lifeng Wu received the M.Sc. degree in science from Wenzhou University, Wenzhou, China, and Ph.D. degree in management science and engineering from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2010 and 2015, respectively. He is currently a Lecturer at the College of Economics and Management, Hebei University of Engineering, Handan, China. He has published 35 papers on grey systems and their applications. His current research interests focus on grey system modeling. He is also a member of the Grey Systems Society of China

Sifeng Liu(SM'08) received the B.Sc. degree in mathematics from Henan University, Kaifeng, China, in 1981, M.S. degree in economics and Ph.D. degree in systems engineering from Huazhong University of Science and Technology, Wuhan, China, in 1986 and 1998, respectively. He spent 22 years with Henan Agricultural University, Henan, China, in various roles including the Head of Department, Deputy Director, and a Full Professor. He joined the Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2000, as a Distinguished Professor and led the College of Economics and Management from 2001 until 2012. He is also the Founding Director of the Institute for Grey Systems Studies, the Founding Chair of the IEEE SMC Technical Committee on Grey Systems, the President of the Grey Systems Society of China, the Founding Editor-in-Chief of the Grey Systems Theory and Application (Emerald), and the Editor-in-Chief of the Journal of Grey Systems (Research Information). He has over 600 research publications of which about 300 have been published in international journals.
Dr. Liu is an Honorary Fellow of the World Organization of Systems and Cybernetics, and a Research Professor of Centre for Computational Intelligence, De Montfort University for the Project of Marie Curie International Incoming Fellowships (FP7-PEOPLE-2013-ⅡF) of the 7th Research Framework Programme of the European Commission

Yingjie Yang(SM'13) received the B.Sc., M.Sc. and Ph.D. degrees in engineering from Northeastern University, Shenyang, China, in 1987, 1990, and 1994, respectively. He was awarded his Ph.D. degree in computer science at Loughborough University, Loughborough, UK, in 2008.
He is currently a Professor in computational intelligence at the School of Computer Science and Informatics, De Montfort University, Leicester, UK. He has published over 100 papers on grey systems, fuzzy sets, rough sets, neural networks and their applications to civil engineering, transportation and environmental engineering. His research interests include the representation and modelling of various uncertainties and the application of computational intelligence to engineering problems.
Dr. Yang is a senior member of IEEE Systems, Man, and Cybernetics Society, a co-chair of IEEE SMC Technical Committee on Grey Systems and a member of Rail Research UK Association
Corresponding author: L. F. Wu, e-mail: wlf6666@126.com
Received Date: 2015-09-16
Accepted Date: 2016-08-03

Abstract

Abstract

To reveal the relationship between a weakening buffer operator and strengthening buffer operator, the traditional integer order buffer operator is extended to one that is fractional order. Fractional order buffer operator not only can generalize the weakening buffer operator and the strengthening buffer operator, but also results in small adjustments of the buffer effect. The effectiveness of the grey model (GM(1, 1)) with the fractional order buffer operator is validated by six cases.
- Fractional order,
- grey system theory,
- strengthening buffer operator (SBO),
- weakening buffer operator (WBO)

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References(27)

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Using the Fractional Order Method to Generalize Strengthening Buffer Operator and Weakening Buffer Operator

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