Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment

Identifying appropriate project delivery systems for wastewater treatment plants (PDSWTPs) plays an important role for wastewater industry decision makers. This study aims to develop a PDSWTP selection model to deal with the related-indicators case by combining the advantages of Pythagorean fuzzy se...

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Main Authors: Huimin Li, Yongchao Cao, Limin Su, Fuqiang Wang
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-06-01
Series:Frontiers in Environmental Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fenvs.2022.883630/full
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author Huimin Li
Huimin Li
Yongchao Cao
Limin Su
Fuqiang Wang
author_facet Huimin Li
Huimin Li
Yongchao Cao
Limin Su
Fuqiang Wang
author_sort Huimin Li
collection DOAJ
description Identifying appropriate project delivery systems for wastewater treatment plants (PDSWTPs) plays an important role for wastewater industry decision makers. This study aims to develop a PDSWTP selection model to deal with the related-indicators case by combining the advantages of Pythagorean fuzzy sets and Bonferroni mean operators. The works of this study are as follows: 1) the case with related indicators is innovatively considered as specific to the water industry, and Bonferroni mean operator and Pythagorean fuzzy sets are introduced to PDSWTP selection, which can handle complexity and fuzziness for the actual application. 2) Pythagorean fuzzy weighted Bonferroni mean (PFWBM) and Pythagorean fuzzy weighted geometry Bonferroni mean (PFWGBM) operators are used to aggregate all related indicators in PDSWTP selection, and taking full advantage of PFWBM and PFWGBM operators, a selection framework for PDSWTPs is constructed. 3) To show the robustness, the PDSWTP selection results were given with different parameters in the proposed operators. Finally, a practice example is created, and the results shown are effective and applicable.
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spelling doaj.art-307bee69061242dfbb092267962c86662022-12-22T00:39:52ZengFrontiers Media S.A.Frontiers in Environmental Science2296-665X2022-06-011010.3389/fenvs.2022.883630883630Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy EnvironmentHuimin Li0Huimin Li1Yongchao Cao2Limin Su3Fuqiang Wang4Department of Construction Engineering and Management, North China University of Water Resources and Electric Power, Zhengzhou, ChinaHenan Key Laboratory of Water Environment Simulation and Treatment, Zhengzhou, ChinaSchool of Management and Economics, North China University of Water Resources and Electric Power, Zhengzhou, ChinaSchool of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, ChinaDepartment of Construction Engineering and Management, North China University of Water Resources and Electric Power, Zhengzhou, ChinaIdentifying appropriate project delivery systems for wastewater treatment plants (PDSWTPs) plays an important role for wastewater industry decision makers. This study aims to develop a PDSWTP selection model to deal with the related-indicators case by combining the advantages of Pythagorean fuzzy sets and Bonferroni mean operators. The works of this study are as follows: 1) the case with related indicators is innovatively considered as specific to the water industry, and Bonferroni mean operator and Pythagorean fuzzy sets are introduced to PDSWTP selection, which can handle complexity and fuzziness for the actual application. 2) Pythagorean fuzzy weighted Bonferroni mean (PFWBM) and Pythagorean fuzzy weighted geometry Bonferroni mean (PFWGBM) operators are used to aggregate all related indicators in PDSWTP selection, and taking full advantage of PFWBM and PFWGBM operators, a selection framework for PDSWTPs is constructed. 3) To show the robustness, the PDSWTP selection results were given with different parameters in the proposed operators. Finally, a practice example is created, and the results shown are effective and applicable.https://www.frontiersin.org/articles/10.3389/fenvs.2022.883630/fullwastewater treatment plant projectproject delivery system selectionpythagorean fuzzy setbonferroni mean operatorpythagorean fuzzy weighted bonferroni mean operatorpythagorean fuzzy geometric weighted bonferroni mean operator
spellingShingle Huimin Li
Huimin Li
Yongchao Cao
Limin Su
Fuqiang Wang
Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment
Frontiers in Environmental Science
wastewater treatment plant project
project delivery system selection
pythagorean fuzzy set
bonferroni mean operator
pythagorean fuzzy weighted bonferroni mean operator
pythagorean fuzzy geometric weighted bonferroni mean operator
title Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment
title_full Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment
title_fullStr Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment
title_full_unstemmed Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment
title_short Selecting a Project Delivery System for Wastewater Treatment Plants With Related-Indicators Under a Pythagorean Fuzzy Environment
title_sort selecting a project delivery system for wastewater treatment plants with related indicators under a pythagorean fuzzy environment
topic wastewater treatment plant project
project delivery system selection
pythagorean fuzzy set
bonferroni mean operator
pythagorean fuzzy weighted bonferroni mean operator
pythagorean fuzzy geometric weighted bonferroni mean operator
url https://www.frontiersin.org/articles/10.3389/fenvs.2022.883630/full
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