PMID- 37768401 OWN - NLM STAT- MEDLINE DCOM- 20231023 LR - 20231023 IS - 1573-2959 (Electronic) IS - 0167-6369 (Linking) VI - 195 IP - 10 DP - 2023 Sep 28 TI - A new fuzzy approach and bankruptcy theory in risk estimation in Waste Load Allocation. PG - 1254 LID - 10.1007/s10661-023-11811-8 [doi] AB - In this paper, we developed a simulator-optimizer model based on risk analysis to determine Waste Load Allocation (WLA). A new Fuzzy index as Fuzzy Risk Index (FRI) was linked with multi-objective optimization to minimize FRI for the environmental stakeholder and the total cost of sewage treatment for the polluting industries as the other collective stakeholder. Afterwards, the conflict was resolved with the help of Nash bargaining and bankruptcy approach (Constrained Equal Awards Rule). The model was run using quantitative/qualitative data for the KhoramAbad River. To check the efficiency of FRI, the process followed for WLA was reimplemented by the Monte Carlo simulation (MCS). A comparison between the two approaches revealed that the outcomes derived from Fuzzy arithmetic across all aspects, encompassing river qualitative simulation, nondominated curve, Nash bargaining's agreed point, and bankruptcy output, closely mirrored the results of MCS. The notable distinction lies in the drastic reduction of the model's execution time by a factor of 450. CI - (c) 2023. The Author(s), under exclusive licence to Springer Nature Switzerland AG. FAU - Nouri, Alireza AU - Nouri A AD - Islamic Azad University Science and Research Branch, Tehran, Iran. m_alireza_nouri@yahoo.com. FAU - Bazargan-Lari, Mohammadreza AU - Bazargan-Lari M AD - Islamic Azad University East Tehran Branch, Tehran, Iran. FAU - Oftadeh, Ershad AU - Oftadeh E AD - Islamic Azad University Science and Research Branch, Tehran, Iran. LA - eng PT - Journal Article DEP - 20230928 PL - Netherlands TA - Environ Monit Assess JT - Environmental monitoring and assessment JID - 8508350 SB - IM MH - Humans MH - *Environmental Monitoring/methods MH - Bankruptcy MH - *Non-alcoholic Fatty Liver Disease MH - Computer Simulation MH - Rivers MH - Fuzzy Logic OTO - NOTNLM OT - Bankruptcy theory OT - Fuzzy Risk Index (FRI) OT - KhoramAbad River OT - Monte Carlo Simulation (MCS) OT - Nondominated Sorting Genetic Algorithm (NSGA-II) OT - Waste Load Allocation (WLA) EDAT- 2023/09/28 12:44 MHDA- 2023/10/23 01:18 CRDT- 2023/09/28 11:08 PHST- 2023/06/11 00:00 [received] PHST- 2023/08/30 00:00 [accepted] PHST- 2023/10/23 01:18 [medline] PHST- 2023/09/28 12:44 [pubmed] PHST- 2023/09/28 11:08 [entrez] AID - 10.1007/s10661-023-11811-8 [pii] AID - 10.1007/s10661-023-11811-8 [doi] PST - epublish SO - Environ Monit Assess. 2023 Sep 28;195(10):1254. doi: 10.1007/s10661-023-11811-8.