Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process
This paper presents the novel approach of the Norm-dist Monte-Carlo fuzzy analytic hierarchy process (NMCFAHP) to incorporate probabilistic and epistemic uncertainty due to human's judgment vagueness in multi-criteria decision analysis. Normal distribution is applied as the most appropriate dis...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-04-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844020304527 |
| _version_ | 1819047415991238656 |
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| author | Fermi Dwi Wicaksono Yusri Bin Arshad Haeryip Sihombing |
| author_facet | Fermi Dwi Wicaksono Yusri Bin Arshad Haeryip Sihombing |
| author_sort | Fermi Dwi Wicaksono |
| collection | DOAJ |
| description | This paper presents the novel approach of the Norm-dist Monte-Carlo fuzzy analytic hierarchy process (NMCFAHP) to incorporate probabilistic and epistemic uncertainty due to human's judgment vagueness in multi-criteria decision analysis. Normal distribution is applied as the most appropriate distribution model to approximate the probability distribution function of the criteria and alternatives within Monte-Carlo simulation. To test the applicability of the proposed NMCFAHP, the case study of non-destructive test (NDT) technology selection is performed in the Petroleum Company in Borneo, Indonesia. When compared with the conventional triangular fuzzy-AHP, the proposed NMCFAHP method reduces the standard error of mean values by 90.4–99.8% at the final evaluation scores. This means that the proposed NMCFAHP significantly involves fewer errors when dealing with fuzzy uncertainty and stochastic randomness. The proposed NMCFAHP delivers reliable performance to overcome probabilistic uncertainty and epistemic vagueness in the group decision making process. |
| first_indexed | 2024-12-21T11:00:00Z |
| format | Article |
| id | doaj.art-4e15990ec9014d8da4e6c1373bdc2324 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-21T11:00:00Z |
| publishDate | 2020-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-4e15990ec9014d8da4e6c1373bdc23242022-12-21T19:06:22ZengElsevierHeliyon2405-84402020-04-0164e03607Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy processFermi Dwi Wicaksono0Yusri Bin Arshad1Haeryip Sihombing2Fakulti Pengurusan Teknologi Dan Teknousahawan, Universiti Teknikal Malaysia Melaka, Durian Tunggal, Melaka, 76100, Malaysia; Corresponding author.Fakulti Pengurusan Teknologi Dan Teknousahawan, Universiti Teknikal Malaysia Melaka, Durian Tunggal, Melaka, 76100, Malaysia; Center of Technopreneurship Development (C-TED), Universiti Teknikal Malaysia Melaka, Durian Tunggal, Melaka, 76100, MalaysiaFakulti Pengurusan Teknologi Dan Teknousahawan, Universiti Teknikal Malaysia Melaka, Durian Tunggal, Melaka, 76100, MalaysiaThis paper presents the novel approach of the Norm-dist Monte-Carlo fuzzy analytic hierarchy process (NMCFAHP) to incorporate probabilistic and epistemic uncertainty due to human's judgment vagueness in multi-criteria decision analysis. Normal distribution is applied as the most appropriate distribution model to approximate the probability distribution function of the criteria and alternatives within Monte-Carlo simulation. To test the applicability of the proposed NMCFAHP, the case study of non-destructive test (NDT) technology selection is performed in the Petroleum Company in Borneo, Indonesia. When compared with the conventional triangular fuzzy-AHP, the proposed NMCFAHP method reduces the standard error of mean values by 90.4–99.8% at the final evaluation scores. This means that the proposed NMCFAHP significantly involves fewer errors when dealing with fuzzy uncertainty and stochastic randomness. The proposed NMCFAHP delivers reliable performance to overcome probabilistic uncertainty and epistemic vagueness in the group decision making process.http://www.sciencedirect.com/science/article/pii/S2405844020304527MathematicsNormal distribution fuzzy numberMonte-carlo simulationIntegrative method of fuzzy analytic hierarchy processMulti-criteria decision making |
| spellingShingle | Fermi Dwi Wicaksono Yusri Bin Arshad Haeryip Sihombing Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process Heliyon Mathematics Normal distribution fuzzy number Monte-carlo simulation Integrative method of fuzzy analytic hierarchy process Multi-criteria decision making |
| title | Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process |
| title_full | Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process |
| title_fullStr | Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process |
| title_full_unstemmed | Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process |
| title_short | Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process |
| title_sort | norm dist monte carlo integrative method for the improvement of fuzzy analytic hierarchy process |
| topic | Mathematics Normal distribution fuzzy number Monte-carlo simulation Integrative method of fuzzy analytic hierarchy process Multi-criteria decision making |
| url | http://www.sciencedirect.com/science/article/pii/S2405844020304527 |
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