Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method
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 a...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2017-07-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/9/8/136 |
id |
doaj-59545171698f4cb9a12f9b0a5eac686d |
---|---|
record_format |
Article |
spelling |
doaj-59545171698f4cb9a12f9b0a5eac686d2020-11-24T22:09:11ZengMDPI AGSymmetry2073-89942017-07-019813610.3390/sym9080136sym9080136Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects MethodShahzad Faizi0Wojciech Sałabun1Tabasam Rashid2Jarosław Wątróbski3Sohail Zafar4Department of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Artificial Intelligence method and Applied Mathematics in the Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, Szczecin, 71-210, PolandDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Web Systems Analysis and Data Processing in the Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, Szczecin, 71-210, PolandDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanThere 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.https://www.mdpi.com/2073-8994/9/8/136hesitant fuzzy setsL-R-type generalized fuzzy numbersMulti-Criteria Group Decision-Making (MCGDM)Characteristic Objects Method (COMET) |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Shahzad Faizi Wojciech Sałabun Tabasam Rashid Jarosław Wątróbski Sohail Zafar |
spellingShingle |
Shahzad Faizi Wojciech Sałabun Tabasam Rashid Jarosław Wątróbski Sohail Zafar Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method Symmetry hesitant fuzzy sets L-R-type generalized fuzzy numbers Multi-Criteria Group Decision-Making (MCGDM) Characteristic Objects Method (COMET) |
author_facet |
Shahzad Faizi Wojciech Sałabun Tabasam Rashid Jarosław Wątróbski Sohail Zafar |
author_sort |
Shahzad Faizi |
title |
Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method |
title_short |
Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method |
title_full |
Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method |
title_fullStr |
Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method |
title_full_unstemmed |
Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method |
title_sort |
group decision-making for hesitant fuzzy sets based on characteristic objects method |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2017-07-01 |
description |
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. |
topic |
hesitant fuzzy sets L-R-type generalized fuzzy numbers Multi-Criteria Group Decision-Making (MCGDM) Characteristic Objects Method (COMET) |
url |
https://www.mdpi.com/2073-8994/9/8/136 |
work_keys_str_mv |
AT shahzadfaizi groupdecisionmakingforhesitantfuzzysetsbasedoncharacteristicobjectsmethod AT wojciechsałabun groupdecisionmakingforhesitantfuzzysetsbasedoncharacteristicobjectsmethod AT tabasamrashid groupdecisionmakingforhesitantfuzzysetsbasedoncharacteristicobjectsmethod AT jarosławwatrobski groupdecisionmakingforhesitantfuzzysetsbasedoncharacteristicobjectsmethod AT sohailzafar groupdecisionmakingforhesitantfuzzysetsbasedoncharacteristicobjectsmethod |
_version_ |
1725813269017395200 |