A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example
Existing fuzzy analytic hierarchy process (FAHP) methods usually aggregate the fuzzy pairwise comparison results produced by multiple decision-makers (DMs) rather than the fuzzy weights estimations. This is problematic because fuzzy pairwise comparison results are subject to uncertainty and lack con...
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| Format: | Article |
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MDPI AG
2019-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/2/179 |
| _version_ | 1818941201912430592 |
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| author | Yu-Cheng Wang Tin-Chih Toly Chen |
| author_facet | Yu-Cheng Wang Tin-Chih Toly Chen |
| author_sort | Yu-Cheng Wang |
| collection | DOAJ |
| description | Existing fuzzy analytic hierarchy process (FAHP) methods usually aggregate the fuzzy pairwise comparison results produced by multiple decision-makers (DMs) rather than the fuzzy weights estimations. This is problematic because fuzzy pairwise comparison results are subject to uncertainty and lack consensus. To address this problem, a partial-consensus posterior-aggregation FAHP (PCPA-FAHP) approach is proposed in this study. The PCPA-FAHP approach seeks a partial consensus among most DMs instead of an overall consensus among all DMs, thereby increasing the possibility of reaching a consensus. Subsequently, the aggregation result is defuzzified using the prevalent center-of-gravity method. The PCPA-FAHP approach was applied to a supplier selection problem to validate its effectiveness. According to the experimental results, the PCPA-FAHP approach not only successfully found out the partial consensus among the DMs, but also shrunk the widths of the estimated fuzzy weights to enhance the precision of the FAHP analysis. |
| first_indexed | 2024-12-20T06:51:47Z |
| format | Article |
| id | doaj.art-8413ad90fd7f4e8f8b54bdf858f1b37e |
| institution | Directory Open Access Journal |
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| language | English |
| last_indexed | 2024-12-20T06:51:47Z |
| publishDate | 2019-02-01 |
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| series | Mathematics |
| spelling | doaj.art-8413ad90fd7f4e8f8b54bdf858f1b37e2022-12-21T19:49:32ZengMDPI AGMathematics2227-73902019-02-017217910.3390/math7020179math7020179A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an ExampleYu-Cheng Wang0Tin-Chih Toly Chen1Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung 41349, TaiwanDepartment of Industrial Engineering and Management, National Chiao Tung University, 1001, University Road, Hsinchu 300, TaiwanExisting fuzzy analytic hierarchy process (FAHP) methods usually aggregate the fuzzy pairwise comparison results produced by multiple decision-makers (DMs) rather than the fuzzy weights estimations. This is problematic because fuzzy pairwise comparison results are subject to uncertainty and lack consensus. To address this problem, a partial-consensus posterior-aggregation FAHP (PCPA-FAHP) approach is proposed in this study. The PCPA-FAHP approach seeks a partial consensus among most DMs instead of an overall consensus among all DMs, thereby increasing the possibility of reaching a consensus. Subsequently, the aggregation result is defuzzified using the prevalent center-of-gravity method. The PCPA-FAHP approach was applied to a supplier selection problem to validate its effectiveness. According to the experimental results, the PCPA-FAHP approach not only successfully found out the partial consensus among the DMs, but also shrunk the widths of the estimated fuzzy weights to enhance the precision of the FAHP analysis.https://www.mdpi.com/2227-7390/7/2/179fuzzy analytic hierarchy processdecision-makingpartial consensusposterior aggregation |
| spellingShingle | Yu-Cheng Wang Tin-Chih Toly Chen A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example Mathematics fuzzy analytic hierarchy process decision-making partial consensus posterior aggregation |
| title | A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example |
| title_full | A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example |
| title_fullStr | A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example |
| title_full_unstemmed | A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example |
| title_short | A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example |
| title_sort | partial consensus posterior aggregation fahp method supplier selection problem as an example |
| topic | fuzzy analytic hierarchy process decision-making partial consensus posterior aggregation |
| url | https://www.mdpi.com/2227-7390/7/2/179 |
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