Title
Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method.
Abstract
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.
Year
DOI
Venue
2017
10.3390/sym9080136
SYMMETRY-BASEL
Keywords
Field
DocType
hesitant fuzzy sets,L-R-type generalized fuzzy numbers,Multi-Criteria Group Decision-Making (MCGDM),Characteristic Objects Method (COMET)
Rank reversals in decision-making,Multiple-criteria decision analysis,Fuzzy logic,Fuzzy set,Artificial intelligence,Phenomenon,Fuzzy number,Mathematics,Group decision-making,Complex problems
Journal
Volume
Issue
Citations 
9
8
17
PageRank 
References 
Authors
0.69
27
5
Name
Order
Citations
PageRank
Shahzad Faizi1171.37
Wojciech Sałabun2609.53
Tabasam Rashid325519.40
Jaroslaw Watrobski4588.00
Sohail Zafar5223.17