Abstract
The risk of water resources has become a serious crisis threatening the human survival and social development. Based on the establishment of a comprehensive risk evaluation system from perspective of water quantity and water quality, this paper proposes a group TODIM (an acronym in Portuguese for Interactive and Multi-criteria Decision Making) with multi-granularity proportional hesitant fuzzy linguistic term sets (PHFLTSs) based on a novel comparison method to evaluate water resources risk. In the method, a novel supplementary of extension function and hesitation value function of comparing and measuring the PHFLTSs is firstly proposed. Furthermore, incomplete weight information method is introduced to establish optimization model to compute the final indicator weights, which are extended to TODIM method to evaluate water resources risk of Hubei Province of China. Finally, the availability and reliability of the method are confirmed by further analysis, and specific management suggestions are put forward to reduce the associated risk.
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Data Availability
The datasets used and/or analysed during the current study are available from the corresponding author on reasonable request.
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References
Akram M, Arshad M (2019) A novel trapezoidal bipolar fuzzy topsis method for group decision-making. Group Decis Negot 28(3):565–584. https://doi.org/10.1007/s10726-018-9606-6
Bozorg-Haddad O, Zolghadr-Asli B, Sarzaeim P, Aboutalebi M, Chu XF, Loaiciga HA (2020) Evaluation of water shortage crisis in the middle east and possible remedies. J Water Supply Res Technol AQUA 69(1):85–98. https://doi.org/10.2166/aqua.2019.049
Cabrerizo FJ, Al-Hmouz R, Morfeq A, Balamash AS, Martinez MA, Herrera-Viedma E (2017) Soft consensus measures in group decision making using unbalanced fuzzy linguistic information. Soft Comput 21(11):3037–3050. https://doi.org/10.1007/s00500-015-1989-6
Chen N, Xu ZS (2015) Hesitant fuzzy ELECTRE II approach: a new way to handle multi-criteria decision making problems. Inf Sci 292:175–197. https://doi.org/10.1016/j.ins.2014.08.054
Chen ZS, Chin KS, Li YL, Yang Y (2016) Proportional hesitant fuzzy linguistic term set for multiple criteria group decision making. Inf Sci 357:61–87. https://doi.org/10.1016/j.ins.2016.04.006
Chen ZS, Yang Y, Wang XJ, Chin KS, Tsui KL (2019) Fostering linguistic decision-making under uncertainty: a proportional interval type-2 hesitant fuzzy TOPSIS approach based on Hamacher aggregation operators and andness optimization models. Inf Sci 500:229–258. https://doi.org/10.1016/j.ins.2019.05.074
Dong YC, Li CC, Herrera F (2016) Connecting the linguistic hierarchy and the numerical scale for the 2-tuple linguistic model and its use to deal with hesitant unbalanced linguistic information. Inf Sci 367:259–278. https://doi.org/10.1016/j.ins.2016.06.003
Farrokhizadeh E, Seyfi-Shishavan SA, Gundogdu FK, Donyatalab Y, Kahraman C, Seifi SH (2021) A spherical fuzzy methodology integrating maximizing deviation and TOPSIS methods. Eng Appl Artif Intell 101:104212. https://doi.org/10.1016/j.engappai.2021.104212
Garfi M, Ferrer-Marti L, Bonoli A, Tondelli S (2011) Multi-criteria analysis for improving strategic environmental assessment of water programmes. a case study in semi-arid region of Brazil. J Environ Manag 92(3):665–675. https://doi.org/10.1016/j.jenvman.2010.10.007
Grag H, Kaur G (2020) Quantifying gesture information in brain hemorrhage patients using probabilistic dual hesitant fuzzy sets with unknown probability information. Comput Ind Eng 140:106211. https://doi.org/10.1016/j.cie.2019.106211
Hao ZN, Xu ZS, Zhao H, Su Z (2017) Probabilistic dual hesitant fuzzy set and its application in risk evaluation. Knowl Based Syst 127:16–28. https://doi.org/10.1016/j.knosys.2017.02.033
Huang J, You XY, Liu HC, Si SL (2019) New approach for quality function deployment based on proportional hesitant fuzzy linguistic term sets and prospect theory. Int J Prod Res 57(5):1283–1299. https://doi.org/10.1080/00207543.2018.1470343
Khan KA, Zaman K, Shoukry AM, Sharkawy A, Gani S, Sasmoko Ahmad J, Khan A, Hishan SS (2019) Natural disasters and economic losses: controlling external migration, energy and environmental resources, water demand, and financial development for global prosperity. Environ Sci Pollut Control Ser 26(14):14287–14299. https://doi.org/10.1007/s11356-019-04755-5
Khan MSA, Abdullah S, Ali A, Siddiqui N, Amin F (2017) Pythagorean hesitant fuzzy sets and their application to group decision making with incomplete weight information. J Intell Fuzzy Syst 33(6):3971–3985. https://doi.org/10.3233/JIFS-17811
Khan MSA, Abdullah S (2018) Interval-valued Pythagorean fuzzy GRA method for multiple-attribute decision making with incomplete weight information. Int J Intell Syst 33(8):1689–1716. https://doi.org/10.1002/int.21992
Kumar K, Grag H (2018) TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. Comp Appl Math 37(2):1319–1329. https://doi.org/10.1007/s40314-016-0402-0
Li MY, Cao PP (2019) Extended TODIM method for multi-attribute risk decision making problems in emergency response. Comput Ind Eng 135:1286–1293. https://doi.org/10.1016/j.cie.2018.06.027
Li ZM, Zhang XX, Ma YF, Feng CY, Hajiyev A (2019) A multi-criteria decision making method for urban flood resilience evaluation with hybrid uncertainties. Int J Disaster Risk Reduct 36:101140. https://doi.org/10.1016/j.ijdrr.2019.101140
Liang YY, Tu Y, Ju YB, Shen WJ (2019) A multi-granularity proportional hesitant fuzzy linguistic TODIM method and its application to emergency decision making. Int J Disaster Risk Reduct 36:101081. https://doi.org/10.1016/j.ijdrr.2019.101081
Lin MW, Chen ZY, Liao HC, Xu ZS (2019) ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Nonlinear dyn 96(3):2125–2143. https://doi.org/10.1007/s11071-019-04910-0
Liu HC, You JX, Li P, Su Q (2016) Failure mode and effect analysis under uncertainty: an integrated multiple criteria decision making approach. IEEE Trans Reliab 65(3):1380–1392. https://doi.org/10.1109/TR.2016.2570567
Liu S, Chan FTS, Ran WX (2013) Multi-attribute group decision-making with multi-granularity linguistic assessment information: an improved approach based on deviation and TOPSIS. Appl Math Model 37(24):10129–10140. https://doi.org/10.1016/j.apm.2013.05.051
Lourenzutti R, Krohling RA (2014) The Hellinger distance in multicriteria decision making: an illustration to the TOPSIS and TODIM methods. Expert Syst Appl 41(9):4414–4421. https://doi.org/10.1016/j.eswa.2014.01.015
Lu JP, Wei C (2019) TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information. J Intell Fuzzy Syst 37(2):1731–1740. https://doi.org/10.3233/JIFS-179236
Mao SZ, Deng Y, Pelusi D (2020) Alternatives selection for produced water management: a network-based methodology. Eng Appl Artif Intell 91:103556. https://doi.org/10.1016/j.engappai.2020.103556
Mishra AR, Rani P (2018) Interval-valued intuitionistic fuzzy waspas method: application in reservoir flood control management policy. Group Decis Negot 27(6):1047–1078. https://doi.org/10.1007/s10726-018-9593-7
Montajabiha M (2016) An extended promethe ii multi-criteria group decision making technique based on intuitionistic fuzzy logic for sustainable energy planning. Group Decis Negot 25(2):221–244. https://doi.org/10.1007/s10726-015-9440-z
Nguyen TT, Ngo HH, Guo WS, Wang XCC, Ren NQ, Li GB, Ding J, Liang H (2019) Implementation of a specific urban water management-sponge City. Sci Total Environ 652:147–162. https://doi.org/10.1016/j.scitotenv.2018.10.168
Suneesh E, Sivapragash M (2021) Multi-response optimisation of micro-milling performance while machining a novel magnesium alloy and its alumina composites. Measurement 168:108345. https://doi.org/10.1016/j.measurement.2020.108345
Tolga AC, Parlak IB, Castillo O (2020) Finite-interval-valued Type-2 Gaussian fuzzy numbers applied to fuzzy TODIM in a healthcare problem. Eng Appl Artif Intell 87:103352. https://doi.org/10.1016/j.engappai.2019.103352
Tu Y, Shi HW, Zhou XY, Lev B (2022) Optimal trade-off of integrated river basin water resources allocation considering water market: a bi-level multi-objective model with conditional value-at-risk constraints. Comput Ind Eng 169:108160. https://doi.org/10.1016/j.cie.2022.108160
Tu Y, Zhou XY, Gang J, Liechty M, Xu JP, Lev B (2015) Administrative and market-based allocation mechanism for regional water resources planning. Resour Conserv Recycl 95:156–173. https://doi.org/10.1016/j.resconrec.2014.12.011
Wang ZQ, Fung RYK, Li YL, Pu Y (2016) A group multi-granularity linguistic-based methodology for prioritizing engineering characteristics under uncertainties. Comput Ind Eng 91:178–187. https://doi.org/10.1016/j.cie.2015.11.012
Wei GW (2018) TODIM method for picture fuzzy multiple attribute decision making. Informatica 29(3):555–566. https://doi.org/10.15388/Informatica.2018.181
Wu JH, Sun ZC (2016) Evaluation of shallow groundwater contamination and associated human health risk in an alluvial plain impacted by agricultural and industrial activities, mid-west China. Expos Health 8(3):311–329. https://doi.org/10.1007/s12403-015-0170-x
Wu Q, Wang F, Zhou LG, Chen HY (2017) Method of multiple attribute group decision making based on 2-dimension interval type-2 fuzzy aggregation operators with multi-granularity linguistic information. Int J Fuzzy Syst 19(6):1880–1903. https://doi.org/10.1007/s40815-016-0291-9
Xiao FY (2018) A novel multi-criteria decision making method for assessing health-care waste treatment technologies based on D numbers. Eng Appl Artif Intell 71:216–225. https://doi.org/10.1016/j.engappai.2018.03.002
Xu ZS, Zhang XL (2013) Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowl Based Syst 52:53–64. https://doi.org/10.1016/j.knosys.2013.05.011
Yu SM, Wang J, Wang JQ (2018) An extended TODIM approach with intuitionistic linguistic numbers. Int Trans Oper Res 25(3):781–805. https://doi.org/10.1111/itor.12363
Zhang H, Li WJ, Miao PP, Sun BW, Kong FQ (2020) Risk grade assessment of sudden water pollution based on analytic hierarchy process and fuzzy comprehensive evaluation. Environ Sci Pollut Res 27(1):469–481. https://doi.org/10.1007/s11356-019-06517-9
Zhang JZ, Ding ZW, Luo MT (2017) Risk analysis of water scarcity in artificial woodlands of semi-arid and arid china. Land Use Pol 63:324–330. https://doi.org/10.1016/j.landusepol.2017.02.008
Zhang L, Wang YZ, Zhao XY (2018) A new emergency decision support methodology based on multi-source knowledge in 2-tuple linguistic model. Knowl Based Syst 144:77–87. https://doi.org/10.1016/j.knosys.2017.12.026
Zhi GZ, Liao ZL, Tian WC, Wu J (2020) Urban flood risk assessment and analysis with a 3D visualization method coupling the PP-PSO algorithm and building data. J Environ Manag 268:110521. https://doi.org/10.1016/j.jenvman.2020.110521
Zhu JJ, Hipel KW (2012) Multiple stages grey target decision making method with incomplete weight based on multi-granularity linguistic label. Inf Sci 212:15–32. https://doi.org/10.1016/j.ins.2012.05.011
Acknowledgements
We are thankful for financial support from the National Natural Science Foundations of China (Grant Nos. 71801177, 71871175), and the Humanities and Social Science Fund of Ministry of Education of China (Grant No. 18YJC630163).
Funding
This research was supported by the National Natural Science Foundation of China (Grant Nos. 71801177, 71871175), and the Humanities and Social Science Fund of Ministry of Education of China (Grant No. 18YJC630163).
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LL: Data curation, Formal analysis, Investigation, Methodology, Writing - original draft; YL: Methodology; YT: Conceptualization, Formal analysis, Supervision; XZ: Conceptualization ; BL: Writing - review & editing.
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Li, L., Liu, Y., Tu, Y. et al. A Novel Group TODIM Method Based on Multi-Granularity Proportional Hesitant Fuzzy Linguistic Term Sets for Water Resources Risk Evaluation. Group Decis Negot 31, 913–944 (2022). https://doi.org/10.1007/s10726-022-09791-0
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DOI: https://doi.org/10.1007/s10726-022-09791-0