A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty
In this study, a recourse-based type-2 fuzzy programming (RTFP) method is developed for supporting water pollution control of basin systems under uncertainty. The RTFP method incorporates type-2 fuzzy programming (TFP) within a two-stage stochastic programming with recourse (TSP) framework to handle...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/9/11/265 |
| _version_ | 1818001763653910528 |
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| author | Jing Liu Yongping Li Guohe Huang Lianrong Chen |
| author_facet | Jing Liu Yongping Li Guohe Huang Lianrong Chen |
| author_sort | Jing Liu |
| collection | DOAJ |
| description | In this study, a recourse-based type-2 fuzzy programming (RTFP) method is developed for supporting water pollution control of basin systems under uncertainty. The RTFP method incorporates type-2 fuzzy programming (TFP) within a two-stage stochastic programming with recourse (TSP) framework to handle uncertainties expressed as type-2 fuzzy sets (i.e., a fuzzy set in which the membership function is also fuzzy) and probability distributions, as well as to reflect the trade-offs between conflicting economic benefits and penalties due to violated policies. The RTFP method is then applied to a real case of water pollution control in the Heshui River Basin (a rural area of China), where chemical oxygen demand (COD), total nitrogen (TN), total phosphorus (TP), and soil loss are selected as major indicators to identify the water pollution control strategies. Solutions of optimal production plans of economic activities under each probabilistic pollutant discharge allowance level and membership grades are obtained. The results are helpful for the authorities in exploring the trade-off between economic objective and pollutant discharge decision-making based on river water pollution control. |
| first_indexed | 2024-04-14T03:37:36Z |
| format | Article |
| id | doaj.art-4aae7d2ebe624cd48737aa8d70620aa2 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T03:37:36Z |
| publishDate | 2017-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4aae7d2ebe624cd48737aa8d70620aa22022-12-22T02:14:40ZengMDPI AGSymmetry2073-89942017-11-0191126510.3390/sym9110265sym9110265A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under UncertaintyJing Liu0Yongping Li1Guohe Huang2Lianrong Chen3Department of Environmental Engineering, Xiamen University of Technology, Xiamen 361024, ChinaDepartment of Environmental Engineering, Xiamen University of Technology, Xiamen 361024, ChinaSino-Canada Energy and Environmental Research Center, North China Electric Power University, Beijing 102206, ChinaDepartment of Environmental Engineering, Xiamen University of Technology, Xiamen 361024, ChinaIn this study, a recourse-based type-2 fuzzy programming (RTFP) method is developed for supporting water pollution control of basin systems under uncertainty. The RTFP method incorporates type-2 fuzzy programming (TFP) within a two-stage stochastic programming with recourse (TSP) framework to handle uncertainties expressed as type-2 fuzzy sets (i.e., a fuzzy set in which the membership function is also fuzzy) and probability distributions, as well as to reflect the trade-offs between conflicting economic benefits and penalties due to violated policies. The RTFP method is then applied to a real case of water pollution control in the Heshui River Basin (a rural area of China), where chemical oxygen demand (COD), total nitrogen (TN), total phosphorus (TP), and soil loss are selected as major indicators to identify the water pollution control strategies. Solutions of optimal production plans of economic activities under each probabilistic pollutant discharge allowance level and membership grades are obtained. The results are helpful for the authorities in exploring the trade-off between economic objective and pollutant discharge decision-making based on river water pollution control.https://www.mdpi.com/2073-8994/9/11/265recourseRiver Basinstochastictype-2 fuzzyuncertaintywater pollution control |
| spellingShingle | Jing Liu Yongping Li Guohe Huang Lianrong Chen A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty Symmetry recourse River Basin stochastic type-2 fuzzy uncertainty water pollution control |
| title | A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty |
| title_full | A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty |
| title_fullStr | A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty |
| title_full_unstemmed | A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty |
| title_short | A Recourse-Based Type-2 Fuzzy Programming Method for Water Pollution Control under Uncertainty |
| title_sort | recourse based type 2 fuzzy programming method for water pollution control under uncertainty |
| topic | recourse River Basin stochastic type-2 fuzzy uncertainty water pollution control |
| url | https://www.mdpi.com/2073-8994/9/11/265 |
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