Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method
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Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
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Department of Artificial Intelligence method and Applied Mathematics in the Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, Szczecin, 71-210, Poland
3
Department of Web Systems Analysis and Data Processing in the Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, Szczecin, 71-210, Poland
*
Author to whom correspondence should be addressed.
Symmetry 2017, 9(8), 136; https://doi.org/10.3390/sym9080136
Received: 28 June 2017
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Revised: 15 July 2017
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Accepted: 25 July 2017
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Published: 29 July 2017
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making)
There are many real-life problems that, because of the need to involve a wide domain of knowledge, are beyond a single expert. This is especially true for complex problems. Therefore, it is usually necessary to allocate more than one expert to a decision process. In such situations, we can observe an increasing importance of uncertainty. In this paper, the Multi-Criteria Decision-Making (MCDM) method called the Characteristic Objects Method (COMET) is extended to solve problems for Multi-Criteria Group Decision-Making (MCGDM) in a hesitant fuzzy environment. It is a completely new idea for solving problems of group decision-making under uncertainty. In this approach, we use L-R-type Generalized Fuzzy Numbers (GFNs) to get the degree of hesitancy for an alternative under a certain criterion. Therefore, the classical COMET method was adapted to work with GFNs in group decision-making problems. The proposed extension is presented in detail, along with the necessary background information. Finally, an illustrative numerical example is provided to elaborate the proposed method with respect to the support of a decision process. The presented extension of the COMET method, as opposed to others’ group decision-making methods, is completely free of the rank reversal phenomenon, which is identified as one of the most important MCDM challenges.
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Keywords:
hesitant fuzzy sets; L-R-type generalized fuzzy numbers; Multi-Criteria Group Decision-Making (MCGDM); Characteristic Objects Method (COMET)
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MDPI and ACS Style
Faizi, S.; Sałabun, W.; Rashid, T.; Wątróbski, J.; Zafar, S. Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method. Symmetry 2017, 9, 136. https://doi.org/10.3390/sym9080136
AMA Style
Faizi S, Sałabun W, Rashid T, Wątróbski J, Zafar S. Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method. Symmetry. 2017; 9(8):136. https://doi.org/10.3390/sym9080136
Chicago/Turabian StyleFaizi, Shahzad, Wojciech Sałabun, Tabasam Rashid, Jarosław Wątróbski, and Sohail Zafar. 2017. "Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method" Symmetry 9, no. 8: 136. https://doi.org/10.3390/sym9080136
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