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Enhanced TODIM based on VIKOR method for multi-attribute decision making with Type-2 neutrosophic number and applications to green supplier selection

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Abstract

Along with increasing the emphasis on environmental awareness, enterprises must carry out green supply chain management (GSCM) in order to comply with current legal policy requirements and consumers' preferences for green consumption. Green and sustainable supplier selection is the first link of GSCM, and it is very important for GSCM. Green supplier selection is a multi-attribute decision-making (MADM) problem, and this paper is a study on the selection method of green and sustainable suppliers. Aiming at the problem of green and sustainable supplier selection in the form of decision-making information type-2 neutrosophic number (T2NN) set, a new decision-making method is proposed which combines the TODIM method and the VIKOR method, and the attribute weight adopts the entropy weight method. This new method can get satisfactory ranking results, and the effectiveness of this method is proved by comparing with other methods. Through the sensitivity analysis, the stability of the method is proved.

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References

  • Abdel-Basset M, Saleh M, Gamal A, Smarandache F (2019) An approach of TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number. Appl Soft Comput 77:438–452

    Article  Google Scholar 

  • Ali Z, Mahmood T, Ullah K, Khan Q (2021) Einstein geometric aggregation operators using a novel complex interval-valued pythagorean fuzzy setting with application in green supplier chain management, reports in mechanical. Engineering 2:105–134

    Google Scholar 

  • Ashraf S, Rehman N, Khan A, Naeem M, Park C (2022) Improved VIKOR methodology based on q-rung orthopair hesitant fuzzy rough aggregation information: application in multi expert decision making. Aims Math 7:9524–9548

    Article  MathSciNet  Google Scholar 

  • Cali U, Deveci M, Saha SS, Halden U, Smarandache F (2022) Prioritizing energy blockchain use cases using Type-2 neutrosophic number-based EDAS. IEEE Access 10:34260–34276

    Article  Google Scholar 

  • Cevikcan E, Cebi S, Kaya I (2009) Fuzzy VIKOR and fuzzy axiomatic design versus to fuzzy TOPSIS: an application of candidate assessment. J Multiple-Val Log Soft Comput 15:181–208

    Google Scholar 

  • Chakraborty S, Chattopadhyay R, Chakraborty S (2020) An integrated D-MARCOS method for supplier selection in an iron and steel industry. Decision Mak Appl Manag Eng 3:49–69

    Article  Google Scholar 

  • Chen TY (2022) An evolved VIKOR method for multiple-criteria compromise ranking modeling under T-spherical fuzzy uncertainty. Adv Eng Inform 54:25

    Article  Google Scholar 

  • Deveci M, Erdogan N, Cali U, Stekli J, Zhong S (2021a) Type-2 neutrosophic number based multi-attributive border approximation area comparison (MABAC) approach for offshore wind farm site selection in USA. Eng Appl Artif Intell 103:104311

    Article  Google Scholar 

  • Deveci M, Simic V, Torkayesh AE (2021b) Remanufacturing facility location for automotive Lithium-ion batteries: An integrated neutrosophic decision-making model. J Clean Prod 317:128438

    Article  Google Scholar 

  • Ding N, Yu S-H, Chu J-J, Chen C, Shu X-Y (2023) A decision framework for cultural and creative products based on IF-TODIM method and group consensus reaching model. Adv Eng Inform 55:101891

    Article  Google Scholar 

  • Gergin RE, Peker İ, Kısa ACG (2022) Supplier selection by integrated IFDEMATEL-IFTOPSIS method: a case study of automotive supply industry. Decision Mak Appl Manag Eng 5:169–193

    Article  Google Scholar 

  • Gokasar I, Deveci M, Isik M, Daim T, Zaidan AA, Smarandache F (2023) Evaluation of the alternatives of introducing electric vehicles in developing countries using Type-2 neutrosophic numbers based RAFSI model. Technol Forecast Soc Chang 192:122589

    Article  Google Scholar 

  • Gomes L, Lima M (1991) TODIMI: Basics and application to multicriteria ranking. Found Comput Decision Sci 16:1–16

    Google Scholar 

  • Görçün ÖF (2022) A novel integrated MCDM framework based on Type-2 neutrosophic fuzzy sets (T2NN) for the selection of proper Second-Hand chemical tankers. Transp Res Part E Log Transp Rev 163:102765

    Article  Google Scholar 

  • Hosseinzadeh E, Tayyebi J (2022) A compromise solution for the neutrosophic multi-objective linear programming problem and its application in transportation problem. J Appl Res Ind Eng 10:1–10

    Google Scholar 

  • Kamali Saraji M, Aliasgari E, Streimikiene D (2023) Assessment of the challenges to renewable energy technologies adoption in rural areas: A Fermatean CRITIC-VIKOR approach. Technol Forecast Soc Chang. 189:122399

    Article  Google Scholar 

  • Kazemitash N, Fazlollahtabar H, Abbaspour M (2021) Rough best-worst method for supplier selection in biofuel companies based on green criteria. Oper Res Eng Sci Theory Appl 4:1–12

    Article  Google Scholar 

  • Kumar S, Patnaik L, Shafi SM, Venkatesh VSS, Maity SR (2023) Wear parameter optimization for CrN/TiAlSiN coating using novel BWM integrated TODIM decision-making approach. Int J Interact Des Manuf (IJIDeM) 17:579–601

    Article  Google Scholar 

  • Li XH, Han ZY, Yazdi M, Chen GM (2022) A CRITIC-VIKOR based robust approach to support risk management of subsea pipelines. Appl Ocean Res 124:10

    Article  Google Scholar 

  • Lu Z, Gao Y, Xu C, Li Y (2023) Configuration optimization of an off-grid multi-energy microgrid based on modified NSGA-II and order relation-TODIM considering uncertainties of renewable energy and load. J Clean Prod 383:135312

    Article  Google Scholar 

  • Mitra R, Das J (2023) A comparative assessment of flood susceptibility modelling of GIS-based TOPSIS, VIKOR, and EDAS techniques in the Sub-Himalayan foothills region of Eastern India. Environ Sci Pollut Res 30:16036–16067

    Article  Google Scholar 

  • Nebati EE, Ayvaz B, Kusakci AO (2023) Digital transformation in the defense industry: a maturity model combining SF-AHP and SF-TODIM approaches. Appl Soft Comput 132:109896

    Article  Google Scholar 

  • Opricovic S, Tzeng GH (2007) Extended VIKOR method in comparison with outranking methods. Eur J Oper Res 178:514–529

    Article  MATH  Google Scholar 

  • Paul TK, Jana C, Pal M, Simic V (2023) Sustainable carbon-dioxide storage assessment in geological media using modified Pythagorean fuzzy VIKOR and DEMATEL approach. Int J Hydrogen Energy 48:9474–9497

    Article  Google Scholar 

  • Puška A, Stojanović I (2022) Fuzzy multi-criteria analyses on green supplier selection in an agri-food company. J Intell Manag Decis 1:2–16

    Google Scholar 

  • Puška A, Štilić A, Stojanović I (2023) Approach for multi-criteria ranking of Balkan countries based on the index of economic freedom. J Decision Anal Intell Comput 3:1–14

    Article  Google Scholar 

  • Sazegari S, Davoodi SMR, Goli A (2022) Pricing the green products in a sustainable supply chain with data envelopment analysis approach (case study: home appliance companies). J Appl Res Ind Eng 9:165–179

    Google Scholar 

  • Simic V, Dabic-Miletic S, Tirkolaee EB, Stević Ž, Ala A, Amirteimoori A (2023) Neutrosophic LOPCOW-ARAS model for prioritizing industry 4.0-based material handling technologies in smart and sustainable warehouse management systems. Appl Soft Comput 143:110400

    Article  Google Scholar 

  • Simic V, Dabic-Miletic S, Tirkolaee EB, Stević Ž, Deveci M, Senapati T (2023b) Neutrosophic CEBOM-MACONT model for sustainable management of end-of-life tires. Appl Soft Comput 110399

  • Song C, Xu Z, Zhang Y, Li B (2023) Environmental quality evaluation based on the TODIM method with normal wiggly hesitant fuzzy set. Soft Comput 27:8161–8173

    Article  Google Scholar 

  • Su Y, Zhao MW, Wei C, Chen XD (2022) PT-TODIM method for probabilistic linguistic MAGDM and application to industrial control system security supplier selection. Int J Fuzzy Syst 24:202–215

    Article  Google Scholar 

  • Sun H, Yang Z, Cai Q, Wei GW, Mo ZW (2023) An extended Exp-TODIM method for multiple attribute decision making based on the Z-Wasserstein distance. Expert Syst Appl 214:14

    Article  Google Scholar 

  • Tirkolaee EB, Aydin NS, Mahdavi I (2023) A bi-level decision-making system to optimize a robust-resilient-sustainable aggregate production planning problem. Expert Syst Appl 228:120476

    Article  Google Scholar 

  • Tong LI, Chen CC, Wang CH (2007) Optimization of multi-response processes using the VIKOR method. Int J Adv Manuf Technol 31:1049–1057

    Article  Google Scholar 

  • Torkayesh AE, Deveci M, Torkayesh SE, Tirkolaee EB (2022) Analyzing failures in adoption of smart technologies for medical waste management systems: a type-2 neutrosophic-based approach. Environ Sci Pollut Res 29:79688–79701

    Article  Google Scholar 

  • Vardin AN, Ansari R, Khalilzadeh M, Antucheviciene J, Bausys R (2021) An integrated decision support model based on BWM and fuzzy-VIKOR techniques for contractor selection in construction projects. Sustainability 13:28

    Google Scholar 

  • Verma V, Bisht P, Joshi S (2022) Sustainable supply chain systems of food and beverages SMEs in developing countries: theoretical perspective. J Decision Anal Intell Comput 2:36–52

    Article  Google Scholar 

  • Zhang S, Gao H, Wei G, Chen X (2021) Grey relational analysis method based on cumulative prospect theory for intuitionistic fuzzy multi-attribute group decision making. J Intell Fuzzy Syst 41(2):3783–3795

    Article  Google Scholar 

  • Zheng QH, Ding QY, Wang YM (2022) A grey correlation method-based interval grey number TODIM multi-attribute decision making method. J Grey Syst 34:41–58

    Google Scholar 

  • Zhou F, Chen TY (2022) A hybrid approach combining AHP with TODIM for blockchain technology provider selection under the Pythagorean fuzzy scenario. Artif Intell Rev 55:5411–5443

    Article  Google Scholar 

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Funding

The work was supported by the Sichuan Province Social Development Key R&D Projects under Grant No. 2023YFS0375.

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Authors and Affiliations

  1. School of Business, Sichuan Normal University, Chengdu, 610101, People’s Republic of China

    Zeyuan Wang, Qiang Cai & Guiwu Wei

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  1. Zeyuan Wang
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  2. Qiang Cai
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  3. Guiwu Wei
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Correspondence to Guiwu Wei.

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Wang, Z., Cai, Q. & Wei, G. Enhanced TODIM based on VIKOR method for multi-attribute decision making with Type-2 neutrosophic number and applications to green supplier selection. Soft Comput (2023). https://doi.org/10.1007/s00500-023-08768-8

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