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The PROMTHEE II Method Based on Probabilistic Linguistic Information and Their Application to Decision Making
Volume 29, Issue 2 (2018), pp. 303–320
Pub. online: 1 January 2018      Type: Research Article      Open accessOpen Access
Received
1 October 2017
Accepted
1 March 2018
Published
1 January 2018

Abstract

The probabilistic linguistic terms set (PLTS) can reflect different importance degrees or weights of all possible linguistic terms (LTs) given by the experts for a specific object. The PROMETHEE II method is an important ranking method which can comprise preferences as well as indifferences, and it has a unique characteristic that can provide different types of preference functions. Based on the advantages of the PLTS and the PROMETHEE II method, in this paper, we extend the PROMETHEE II method to process the probabilistic linguistic information (PLI), and propose the PL-PROMETHEE II method with an improved possibility degree formula which can avoid the weaknesses from the original formula. Then concerning the multi-attribute decision making (MADM) problems with totally unknown weight information, the maximum deviation method is used to get the objective weight vector of the attributes, and net flows of the alternatives from the PROMETHEE II method are used to rank the alternatives. Finally, a numerical example is given to illustrate the feasibility of the proposed method.

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Biographies

Liu Peide
Peide.liu@gmail.com

P. Liu received the BS and MS degrees in signal and information processing from Southeast University, Nanjing, China, in 1988 and 1991, respectively, and the PhD degree in information management from Beijing Jiaotong University, Beijing, China, in 2010. He is currently a professor with the School of Management Science and Engineering, Shandong University of Finance and Economics, Shandong, China. He is an associate editor of the Journal of Intelligent and Fuzzy Systems, the editorial board of the journal Technological and Economic Development of Economy, and the members of editorial board of the other 12 journals. He has authored or coauthored more than 200 publications. His research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.

Li Ying

Y. Li received the BS degrees in logistics management from Shandong University of Finance and Economics, Jinan, China, in 2015. She is studying for her master in management science and engineering from Shandong University of Finance and Economics. Her research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.


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Keywords
probabilistic linguistic term PROMETHEE II MADM

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