An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China

The uncertainty of socioeconomic development and climate change poses challenges to the sustainable management of water resources in Taiyuan, China. The study proposes a type-2 fuzzy chance-constrained ordered multi-objective fractional programming (T2FCC-ORMOFP) model to address the allocation of w...

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Main Authors: Wenyu Wu, Xuehua Zhao, Xueyou Zhang, Xixi Wu, Yuhang Zhao, Qiucen Guo, Liushan Yao, Xin Liu
Format: Article
Language:English
Published: IWA Publishing 2024-03-01
Series:Water Supply
Subjects:
Online Access:http://ws.iwaponline.com/content/24/3/865
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author Wenyu Wu
Xuehua Zhao
Xueyou Zhang
Xixi Wu
Yuhang Zhao
Qiucen Guo
Liushan Yao
Xin Liu
author_facet Wenyu Wu
Xuehua Zhao
Xueyou Zhang
Xixi Wu
Yuhang Zhao
Qiucen Guo
Liushan Yao
Xin Liu
author_sort Wenyu Wu
collection DOAJ
description The uncertainty of socioeconomic development and climate change poses challenges to the sustainable management of water resources in Taiyuan, China. The study proposes a type-2 fuzzy chance-constrained ordered multi-objective fractional programming (T2FCC-ORMOFP) model to address the allocation of water under uncertainties. The model incorporates type-2 fuzzy programming and chance-constrained programming into an overall framework to handle multiple uncertainties under multi-level and multi-objective conflicts, while using fractional programming to reflect the marginal benefits of the system. It prioritizes the principles of optimal, fair, and stable distribution by the upper-level governing authorities, while considering the social and economic environmental benefits of lower-level decision-making. The optimal water allocation scenarios were obtained under different hydrological guarantee rates, violation levels of water supply constraints, and net economic benefits of type-2 fuzzy numbers for 2030. Additionally, groundwater is replaced by reclaimed water in varying proportions for flexible water supply. The results show that the water demand in Taiyuan cannot be ignored, and the risk of water shortage is more sensitive for the agricultural and industrial sectors. The recycled water substitution strategy can optimize the water supply structure and improve social and economic benefits (9–12%). Also T2FCC-ORMOFP can improve overall efficiency (20%) compared with a single-level model. HIGHLIGHTS The model takes into account the upper-level criteria of optimality, equity, and stability, along with the lower-level considerations of social and economic environmental benefits.; It tackles the intricacies stemming from the design of type-2 fuzzy- chance-constrained ordered multi-objective fractional programming.; Utilizing reclaimed water as an alternative can effectively mitigate the overexploitation of groundwater resources in Taiyuan.;
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spelling doaj.art-34fcda108c624a18a8a6c36f9d59214e2024-04-20T06:36:26ZengIWA PublishingWater Supply1606-97491607-07982024-03-0124386588810.2166/ws.2024.035035An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, ChinaWenyu Wu0Xuehua Zhao1Xueyou Zhang2Xixi Wu3Yuhang Zhao4Qiucen Guo5Liushan Yao6Xin Liu7 College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China College of Water Resources Science and Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China The uncertainty of socioeconomic development and climate change poses challenges to the sustainable management of water resources in Taiyuan, China. The study proposes a type-2 fuzzy chance-constrained ordered multi-objective fractional programming (T2FCC-ORMOFP) model to address the allocation of water under uncertainties. The model incorporates type-2 fuzzy programming and chance-constrained programming into an overall framework to handle multiple uncertainties under multi-level and multi-objective conflicts, while using fractional programming to reflect the marginal benefits of the system. It prioritizes the principles of optimal, fair, and stable distribution by the upper-level governing authorities, while considering the social and economic environmental benefits of lower-level decision-making. The optimal water allocation scenarios were obtained under different hydrological guarantee rates, violation levels of water supply constraints, and net economic benefits of type-2 fuzzy numbers for 2030. Additionally, groundwater is replaced by reclaimed water in varying proportions for flexible water supply. The results show that the water demand in Taiyuan cannot be ignored, and the risk of water shortage is more sensitive for the agricultural and industrial sectors. The recycled water substitution strategy can optimize the water supply structure and improve social and economic benefits (9–12%). Also T2FCC-ORMOFP can improve overall efficiency (20%) compared with a single-level model. HIGHLIGHTS The model takes into account the upper-level criteria of optimality, equity, and stability, along with the lower-level considerations of social and economic environmental benefits.; It tackles the intricacies stemming from the design of type-2 fuzzy- chance-constrained ordered multi-objective fractional programming.; Utilizing reclaimed water as an alternative can effectively mitigate the overexploitation of groundwater resources in Taiyuan.;http://ws.iwaponline.com/content/24/3/865equityfractional programmingstabilityuncertaintywater resources allocation
spellingShingle Wenyu Wu
Xuehua Zhao
Xueyou Zhang
Xixi Wu
Yuhang Zhao
Qiucen Guo
Liushan Yao
Xin Liu
An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China
Water Supply
equity
fractional programming
stability
uncertainty
water resources allocation
title An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China
title_full An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China
title_fullStr An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China
title_full_unstemmed An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China
title_short An ordered multi-objective fuzzy stochastic approach to sustainable water resources management: a case study from Taiyuan City, China
title_sort ordered multi objective fuzzy stochastic approach to sustainable water resources management a case study from taiyuan city china
topic equity
fractional programming
stability
uncertainty
water resources allocation
url http://ws.iwaponline.com/content/24/3/865
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