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A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment

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Abstract

Kolkata city is the capital of West Bengal, India. Due to improper administration, this city has long been plagued by a drinking water shortage. The rapid urbanisation and population growth, the rising daily water demand, and the steadily falling availability of drinking water per capita are the main contributors to the city’s drinking water shortage. The sustained development of drinking water supplies in Kolkata city depends on effective water resource management. With decision-making approaches, we can easily handle the drinking water scarcity situation. Therefore, we have developed a novel multi-criteria decision-making (MCDM) technique for the sustainable development of the drinking water crisis in Kolkata city. First, we introduce a fraction ranking (\(R_{\lambda ^{+}}, R_{\lambda ^{-}}\)) method of single-valued triangular bipolar neutrosophic (SVTrBN) number based on grades (\(V_{\lambda ^{+}}, V_{\lambda ^{-}}\)) and illegibilities (\(A_{\lambda ^{+}}, A_{\lambda ^{-}}\)). Here, we have invented the \(\lambda\)-weighted positive and negative fraction index for SVTrBN-numbers. Using the fraction ranking method, we formulate a novel MCDM technique. This decision-making technique is applicable for accurate decisions, primarily when human choices depend on positive and negative effects. In addition, we give some fundamental definitions and important ethos of bipolar neutrosophic numbers. By the proposed MCDM technique, we have exercised a water resources management (WRM) problem in Kolkata under a bipolar neutrosophic environment. To check the applicability and feasibility of the proposed MCDM method, we illustrated numerically and graphically of proposed WRM problem under SVTrBN-environment.

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References

  • Ajami NK, Hornberger GM, Sunding DL (2008) Sustainable water resource management under hydrological uncertainty. Water Resour Res 44(11):10

    Google Scholar 

  • Akhtar N, Ishak MIS, Ahmad MI, Umar K, Md Yusuff MS, Anees MT, Qadir A, Ali Almanasir YK (2021) Modification of the water quality index (WQI) process for simple calculation using the multi-criteria decision-making (MCDM) method: a review. Water 13(7):905

    Google Scholar 

  • Ammar ESE, Khalifa HAE (2018) An approach to optimizing the water resources management problem in a fuzzy environment. Int J Ind Eng Prod Res 30(1):1–10

    Google Scholar 

  • Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    MATH  Google Scholar 

  • Badham J, Elsawah S, Guillaume JH, Hamilton SH, Hunt RJ, Jakeman AJ, Bammer G (2019) Effective modelling for integrated water resource management: a guide to contextual practices by phases and steps and future opportunities. Environ Model Softw 116:40–56

    Google Scholar 

  • Banerji S, Mitra D (2019) Geographical information system-based groundwater quality index assessment of northern part of Kolkata, India for drinking purpose. Geocarto Int 34(9):943–958

    Google Scholar 

  • Bera K, Banik P (2019) Multi-criteria decision analysis (MCDA) for surface water management plan, a case study of Kansachara sub-watershed. IWA Publishing, West Bengal

    Google Scholar 

  • Biswas P, Pramanik S, Giri BC (2016) Value and ambiguity index based ranking method of single valued trapezoidal neutrosophic numbers and its application to multi-attribute decision making. Neutrosophic Sets Syst 12:127–138

    Google Scholar 

  • Chakraborty A, Mondal SP, Alam S, Ahmadian A, Senu N, De D, Salahshour S (2019) Disjunctive representation of triangular bipolar neutrosophic numbers, de-bipolarization technique and application in multi-criteria decision-making problems. Symmetry 11:9–32

    Google Scholar 

  • Chen J, Li S, Ma S, Wang X (2014) m-Polar fuzzy sets: an extension of bipolar fuzzy sets. Sci World J 2014:1–8. https://doi.org/10.1155/2014/416530

    Article  Google Scholar 

  • Deli I, Ali M, Smarandache F (2015) Bipolar neutrosophic sets and their application based on multi-criteria decision making problems. 2015 International conference on advanced mechanistic systems (ICAMechS). IEEE, New York, pp 249–254

    Google Scholar 

  • Duan Y, Liu G (2016) Water resource pricing study based on water quality fuzzy evaluation: a case study of Hefei city. Comput Water Energy Environ Eng 5:99–111

    Google Scholar 

  • Fassio A, Giuppont C, Hiederer R, Simota C (2005) A decision support tool for simulating the effects of alternative policies affecting water resources: an application at the European scale. J Hydrol 304:462–476

    Google Scholar 

  • Fernandez LV, Aguayo MM, Moran L, Obreque C (2022) A MILP-based operational decision-making methodology for demand-side management applied to desalinated water supply systems supported by a solar photovoltaic plant: a case study in agricultural industry. J Clean Product 334:130123

    Google Scholar 

  • Finkenbiner CE (2017) Integration of hydro geophysical datasets for improved water resource management in irrigated systems. University of Nebraska-Lincoln, Lincoln

    Google Scholar 

  • Flug M, Seitz LH, Scott JF (2000) Multi-criteria decision analysis applied to Glen Canyon Dam. J Water Resour Plan Manag 126(5):270–276

    Google Scholar 

  • Garai T, Garg H (2021) Possibilistic multi-atribute decision making for water resource mangement problem under single-valued bipolar neutrosophic environment. Int J Intell Syst 2021:1–28

    Google Scholar 

  • Garai T, Garg H (2022a) Multi-criteria decision making of COVID-19 vaccines (in India) based on ranking interpreter technique under single valued bipolar neutrosophic environment. Expert Syst Appl 208:118160

    Google Scholar 

  • Garai T, Garg H (2022b) Multi-criteria decision making of water resource management problem (in Agriculture field, Purulia district) based on possibility measures under generalized single valued non-linear bipolar neutrosophic environment. Expert Syst Appl 205:117715

    Google Scholar 

  • Garai T, Biswas G, Santra U (2022) A novel MCDM method based on possibility mean and its application to water resource management problem under bipolar fuzzy environment. Int Conf Intell Fuzzy Syst 264:405–412

    Google Scholar 

  • Gebre SL, Cattrysse D, Orshoven JV (2021) Multi-criteria decision-making methods to address water allocation problems: a systematic review. Water 2021(13):125. https://doi.org/10.3390/w13020125

    Article  Google Scholar 

  • Guiamel IA, Lee HS (2020) Watershed modelling of the Mindanao River Basin in the Philippines using the SWAT for water resource management. Civil Eng J 6(4):626–648

    Google Scholar 

  • Gupta AP, Harboe R, Tabucanon MT (2000) Fuzzy multiple-criteria decision making for crop area planning in Narmada River Basin. Agric Syst 63:1–18

    Google Scholar 

  • Hadipour A, Rajaee T, Hadipour V, Seidirad S (2016) Multi-criteria decision-making model for waste water reuse application: a case study from Iran. Desalin Water Treat 57(30):13857–13864

    Google Scholar 

  • Hajkowicz A, Collins K (2007) A review of multiple criteria analysis for water resource planning and management. Water Resour Manag 21:1553–1566

    Google Scholar 

  • Hekimoglu BS, Erbay B, Hekimoglu M, Burak S (2021) Evaluation of water supply alternatives for Istanbul using forecasting and multi-criteria decision making methods. J Clean Product 287:125080

    Google Scholar 

  • Hutton CJ, Kapelan Z, Vamvakeridou-Lyroudia L, Savic DA (2014) Dealing with uncertainty in water distribution system models: a framework for real-time modeling and data assimilation. J Water Resour Plan Manag 140(2):169–183

    Google Scholar 

  • Jafar NM, Zia M, Saeed A, Yaqoob M, Habib S (2020) Aggregation operators of bipolar neutrosophic soft sets and it’s applications in auto car selection. Int J Neutrosophic Sci 9(1):37–46

    Google Scholar 

  • Jagadeeswari L, Sudhakar VJ, Navaneethakumar V, Broumi S (2021) Certain kinds of bipolar interval valued neutrosophic graphs. Int J Neutrosophic Sci 16(1):49–61

    Google Scholar 

  • Jamil M, Abdullah S, Khan MY, Smarandache F, Ghan F (2019) Application of the bipolar neutrosophic hamacher averaging aggregation operators to group decision making: An illustrative example. Symmetry 11:698. https://doi.org/10.3390/sym11050698

    Article  Google Scholar 

  • Jana C, Muhiuddin G, Pal M (2021) Multi-criteria decision making approach based on SVTrN Dombi aggregation functions. Artif Intell Rev 54:3685–3723

    Google Scholar 

  • Janssen R, Goosen H, Verhoeven ML, Verhoeven JTA, Omtzgt AQA, Maltby E (2005) Decision support for integrated wetland management. Environ Model Softw 20:215–229

    Google Scholar 

  • Khalifa HAE, Alodhaibi SS, Kumar P (2021) An application of two-stage stochastic programming for water resources management problem in pentagonal fuzzy neutrosophic environment. Water Energy Food Environ J 2(1):31–40

    Google Scholar 

  • Lathamaheswari M, Sudha S (2022) Bipolar trapezoidal neutrosophic differential equation and its application. Int J Neutrosophic Sci 18(4):16–43

    Google Scholar 

  • Lee KM (2000) Bipolar-valued fuzzy sets and their operations. Proceedings of the  international conference on intelligent technologies, Bangkok, Thailand. SCIRP, Wuhan, pp 307–312

    Google Scholar 

  • Lin M, Wang H, Xu Z (2020) TODIM-based multi-criteria decision-making method with hesitant fuzzy linguistic term sets. Artif Intell Rev 53:3647–3671

    Google Scholar 

  • Luo X, Jennings NR (2007) A spectrum of compromise aggregation operators for multi-attribute decision making. Artif Intell 171:161–184

    MathSciNet  MATH  Google Scholar 

  • Maia R, Schumann AH (2007) DSS application to the development of water management strategies in Riberias do Algarve River Basin. Water Resour Manage 21:897–907

    Google Scholar 

  • Mukherjee S, Bebermeier W, Schütt B (2018) An overview of the impacts of land use land cover changes (1980–2014) on urban water security of Kolkata. Land 7(3):91

    Google Scholar 

  • Mund JP (2010) Capacities for Megacities coping with water scarcity. World Water Week, Stockholm, UNWDPC

    Google Scholar 

  • Pietersen K (2006) Multiple criteria decision analysis (MCDA): a tool to support sustainable management of groundwater resources in South Africa. Water SA. 32(2):119–128

    Google Scholar 

  • Qin XS, Huang GH, Chakma A, Nie XH, Lin OG (2008) A MCDM-based expert system for climate change impact assessment and adaptation planning—a case study for the Georgia Basin. Canada. Expert Syst Appl 34:2164–2179

    Google Scholar 

  • Rai PK, Chandel RS, Mishra VN, Singh P (2018) Hydrological inferences through morphometric analysis of lower Kosi river basin of India for water resource management based on remote sensing data. Appl Water Sci 8(1):1–16

    Google Scholar 

  • Raju KS, Duckstein L, Arondel C (2000) Multi-criterion analysis for sustainable water resources planning: a case study in Spain. Water Resour Manage 14:435–456

    Google Scholar 

  • Ray B, Shaw R (2016) Water stress in the mega city of Kolkata, India, and its implications for urban resilience. Urban disasters and resilience in Asia. Elsevier, Amsterdam, pp 317–336

    Google Scholar 

  • Regulwar DG, Gurav JB (2010) Fuzzy approach based management model for irrigation planning. J Water Resour Prot 2:545–554

    Google Scholar 

  • Roozbahani A, Ebrahimi E, Banihabib ME (2018) A framework for ground water management based on bayesian network and MCDM techniques. Water Resour manag 32(15):4985–5005

    Google Scholar 

  • Sau A (2017) A study on water supply and sanitation at a slum in Kolkata. Int J Med Sci Public Health 6:634–638

    Google Scholar 

  • Singh P, Gupta A, Singh M (2014) Hydrological inferences from watershed analysis for water resource management using remote sensing and GIS techniques. Egypt J Remote Sens Space Sci 17(2):111–121

    Google Scholar 

  • Singh RB, Haque MS, Grover A (2015) Drinking water, sanitation and health in Kolkata metropolitan city: contribution towards urban sustainability. Geogr Environ Sustain 8(4):64–81

    Google Scholar 

  • Smarandache FA (1998) A unifying field in logics neutrosophy: neutrosophic probability. Set and logics. American Research Press, Rehoboth Delaware

    MATH  Google Scholar 

  • Srdjevic B, Medeiros YDP, Faria AS (2004) An objective multi-criteria evaluation of water management scenarios. Water Resour Manag 18:35–54

    Google Scholar 

  • Tian X, Negenborn RR, van Overloop PJ, Maestre JM, Sadowska A, van de Giesen N (2017) Efficient multi-scenario model predictive control for water resources management with ensemble streamflow forecasts. Adv Water Resour 109:58–68

    Google Scholar 

  • Tork H, Javadi S, Shahdany SMH (2021) A new framework of a multi-criteria decision making for agriculture water distribution system. J Clean Product 306:127178

    Google Scholar 

  • Tu T, Wang H, Zhou X, Shen W, Lev B (2021) Comprehensive evaluation of security, equity, and efficiency on regional water resources coordination using a hybrid multi-criteria decision-making method with different hesitant fuzzy linguistic term sets. J Clean Product 310:127447

    Google Scholar 

  • Wang H, Smarandache F, Zhan Y, Sunderraman R (2005) Single valued neutrosophic sets. Proceedings of the 10th 476 international conference on fuzzy theory and technology. IEEE, New York

    Google Scholar 

  • Wang K, Davies EG, Liu J (2019) Integrated water resources management and modelling: a case study of Bow river basin, Canada. J Clean Prod 240:118242

    Google Scholar 

  • Warsi T, Kumar VS, Kumar D, Nandan MJ, Biswas G, Kumar Sahadevan D, Chandrasekhar V (2020) Integration of geophysics and petrography for identifying the aquifer and the rock type: a case study from Giddalur, Andhra Pradesh, India. J Earth Syst Sci 129(1):1–13

    Google Scholar 

  • Yilmaz B, Harmancioglu N (2010) Multi-criteria decision making for water resource management: a case study of the Gediz River Basin, Turkey. Water SA. https://doi.org/10.4314/wsa.v36i5.61990

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Info Control 8:338–353

    MATH  Google Scholar 

  • Zaman S, Gobato R, Pramanick P, Biswas P, Chatterjee U, Mitra S, Mitra A (2018) Water quality of the River Ganga in and around the city of Kolkata during and after Goddess Durga immersion. Parana J Sci Educ 4(9):1–7

    Google Scholar 

  • Zarghami M, Abrishamchi A, Ardakanian R (2008) Multi-criteria decision making for integrated urban management. Water Resour Manage 22:1017–1029

    Google Scholar 

  • Zhang F, Ju Y, Gonzal EDRS, Wang A, Dong P, Giannakis M (2021) Evaluation of construction and demolition waste utilization schemes under uncertain environment: a fuzzy heterogeneous multi-criteria decision-making approach. J Clean Product 313:127907

    Google Scholar 

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Garai, T., Garg, H. & Biswas, G. A fraction ranking-based multi-criteria decision-making method for water resource management under bipolar neutrosophic fuzzy environment. Artif Intell Rev 56, 14865–14906 (2023). https://doi.org/10.1007/s10462-023-10514-3

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