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An assignment method for group decision making with uncertain preference ordinals

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Abstract

This paper presents an assignment method to solve the group decision making problem with uncertain preference information. The uncertain preference information is given as uncertain preference ordinals by decision makers. We first address the concept and calculation formulae of preference ordinal frequency, and then, uncertain preference ordinals are transformed into preference ordinal frequencies accordingly. Furthermore, a linear assignment model is built based on the derived preference ordinal frequencies, and the ranking of alternatives can be obtained by solving the model. Finally, a numerical example is used to illustrate the use of the proposed method.

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Authors and Affiliations

  1. School of Business Administration, Northeastern University, Shenyang, 110819, China

    Tianhui You, Zhiping Fan & Zhuchao Yu

Authors
  1. Tianhui You
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  2. Zhiping Fan
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  3. Zhuchao Yu
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Corresponding author

Correspondence to Zhuchao Yu.

Additional information

This work was partly supported by National Nature Science Foundation for Excellent Innovation Research Group of China (71021061), National Nature Science Foundation of China (70701008, 70871021, 90924016 and 71171043), Humanities and Society Science Plan Foundation of Ministry of Education of China (11YJA630180).

Tianhui You received the B.E. degree in science and technology information engineering from Jilin University of Technology, Changchun, China in 1990, the M.S. degree in enterprise management from Northeastern University (NEU), Shenyang, China in 1998, and Ph.D. degree in management science and engineering from NEU in 2004. She is currently an associate professor in the Department of Management Science and Engineering, School of Business Administration, NEU. Her current research interests include decision analysis, knowledge management and information system.

Zhiping Fan received his B.E. degree and M.S. degree in industrial automation, and Ph.D. degree in control theory and applications from Northeastern University (NEU), Shenyang, China in 1982, 1986 and 1996, respectively. He is currently a professor in the Department of Management Science and Engineering, School of Business Administration, NEU. He was a Research Fellow at the City University of Hong Kong, Kowloon, Hong Kong, in 2001, 2003, and 2004, respectively. He is the author or coauthor of more than 50 papers published in international journals. His current interests include decision analysis, operations research and knowledge management.

Zhuchao Yu received the B.E and M.S. degree in automation measurement and control technology, and the Ph.D. degree in management science and engineering from Northeastern University (NEU), Shenyang, China in 1995, 1998 and 2006, respectively. He is currently an associate professor in the Department of Management Science and Engineering, School of Business Administration, NEU. His current interests include information system, knowledge management and decision analysis.

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You, T., Fan, Z. & Yu, Z. An assignment method for group decision making with uncertain preference ordinals. J. Syst. Sci. Syst. Eng. 21, 174–183 (2012). https://doi.org/10.1007/s11518-011-5185-7

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