An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion
The recent boom of various integrated decision-making methods has attracted many researchers to the field. The recent integrated Analytic Network Process and Decision Making Trial and Evaluation Laboratory (ANP–DEMATEL) methods were developed based on crisp numbers and fuzzy numbers. Howev...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/11/3/328 |
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| author | Azzah Awang Nur Aidya Hanum Aizam Lazim Abdullah |
| author_facet | Azzah Awang Nur Aidya Hanum Aizam Lazim Abdullah |
| author_sort | Azzah Awang |
| collection | DOAJ |
| description | The recent boom of various integrated decision-making methods has attracted many researchers to the field. The recent integrated Analytic Network Process and Decision Making Trial and Evaluation Laboratory (ANP–DEMATEL) methods were developed based on crisp numbers and fuzzy numbers. However, these numbers are incapable of dealing with the indeterminant and inconsistent information that exists in real-life problems. This paper proposes improvements to the integrated ANP–DEMATEL method by bringing together the neutrosophic numbers, the ANP method, and the DEMATEL method, which are later abbreviated to NS-DANP. The proposed NS-DANP method can handle the indeterminacy elements in the decision-making environment, as the single-valued neutrosophic numbers are used in the decision analysis. This proposed NS-DANP modification method includes linguistic variables representing the single-valued neutrosophic numbers (SVNNs), and also introduces the single-valued neutrosophic weighted averaging (SVNWA) aggregation operator to aggregate the decision makers’ judgments instead of the typical averaging method. The applicability of the proposed method is illustrated by a case study of the coastal erosion problem along the Peninsular Malaysia coastline, where 12 factors were considered. Three experts of coastal erosion from different organizations were invited to elicit their linguistic judgments on the cause–effect of the coastal erosion. The seven-step decision approach was developed to acquire the weightage of each coastal erosion factor. The outcome of this study reveals that coastal development is the riskiest factor toward coastal erosion. The weight of factors and the cause–effect diagram could be very helpful for government and stakeholders to project a better mitigation plan for the coastal erosion problem. Comparative analysis is also provided to check the feasibility of the proposed method. |
| first_indexed | 2024-04-11T22:24:04Z |
| format | Article |
| id | doaj.art-d283cb8da13b4057ab56f865778a29de |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:24:04Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-d283cb8da13b4057ab56f865778a29de2022-12-22T03:59:56ZengMDPI AGSymmetry2073-89942019-03-0111332810.3390/sym11030328sym11030328An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal ErosionAzzah Awang0Nur Aidya Hanum Aizam1Lazim Abdullah2School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, Kuala Terengganu 21030, MalaysiaSchool of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, Kuala Terengganu 21030, MalaysiaSchool of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, Kuala Terengganu 21030, MalaysiaThe recent boom of various integrated decision-making methods has attracted many researchers to the field. The recent integrated Analytic Network Process and Decision Making Trial and Evaluation Laboratory (ANP–DEMATEL) methods were developed based on crisp numbers and fuzzy numbers. However, these numbers are incapable of dealing with the indeterminant and inconsistent information that exists in real-life problems. This paper proposes improvements to the integrated ANP–DEMATEL method by bringing together the neutrosophic numbers, the ANP method, and the DEMATEL method, which are later abbreviated to NS-DANP. The proposed NS-DANP method can handle the indeterminacy elements in the decision-making environment, as the single-valued neutrosophic numbers are used in the decision analysis. This proposed NS-DANP modification method includes linguistic variables representing the single-valued neutrosophic numbers (SVNNs), and also introduces the single-valued neutrosophic weighted averaging (SVNWA) aggregation operator to aggregate the decision makers’ judgments instead of the typical averaging method. The applicability of the proposed method is illustrated by a case study of the coastal erosion problem along the Peninsular Malaysia coastline, where 12 factors were considered. Three experts of coastal erosion from different organizations were invited to elicit their linguistic judgments on the cause–effect of the coastal erosion. The seven-step decision approach was developed to acquire the weightage of each coastal erosion factor. The outcome of this study reveals that coastal development is the riskiest factor toward coastal erosion. The weight of factors and the cause–effect diagram could be very helpful for government and stakeholders to project a better mitigation plan for the coastal erosion problem. Comparative analysis is also provided to check the feasibility of the proposed method.http://www.mdpi.com/2073-8994/11/3/328decision makingsingle-valued neutrosophic setcoastal erosion managementDEMATELanalytic network process |
| spellingShingle | Azzah Awang Nur Aidya Hanum Aizam Lazim Abdullah An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion Symmetry decision making single-valued neutrosophic set coastal erosion management DEMATEL analytic network process |
| title | An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion |
| title_full | An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion |
| title_fullStr | An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion |
| title_full_unstemmed | An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion |
| title_short | An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion |
| title_sort | integrated decision making method based on neutrosophic numbers for investigating factors of coastal erosion |
| topic | decision making single-valued neutrosophic set coastal erosion management DEMATEL analytic network process |
| url | http://www.mdpi.com/2073-8994/11/3/328 |
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