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An integrated ANP-VIKOR methodology for sustainable supplier selection with interval type-2 fuzzy sets

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Abstract

Recently, sustainable supplier chain management (SSCM) has gained increasing attentions both from corporate and academic. A large number of multiple criteria group decision-making (MCGDM) methods for sustainable supplier selection have been developed. In this paper, considering that the interval type-2 fuzzy sets (IT2FSs) exhibit some interesting properties for handling uncertain information and high order imprecision, we integrate the ANP (analytical network process) method and the VIKOR (ViseKriterijumska Optimizacija I Kompromisno Resenje) method under interval type-2 fuzzy environment to solve supplier selection problem in SSCM. The proposed method consists of two steps. First, we obtain the weights of criteria via the ANP method. Then, based on the weights of criteria presented in step 1, a compromise solution will be proposed with the aid of VIKOR method. A numerical example is presented to show the decision process in detail. In addition, a comparative analysis with interval type-2 fuzzy ANP method and TOPSIS method is also presented to verify the validity of the proposed method.

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References

  • Azadi M, Jafarian M, Farzipoor Saen R, Mirhedayatian SM (2015) A new fuzzy DEA model for evaluation of efficiency and effectiveness of suppliers in sustainable supply chain management context. Comput Oper Res 54:274–285

    Article  MathSciNet  MATH  Google Scholar 

  • Büyüközkan G, Çifçi G (2012) A novel hybrid MCDM approach based on fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers. Expert Syst Appl 39(3):3000–3011

    Article  Google Scholar 

  • Carter CR, Jennings MM (2002) Logistics social responsibility: an integrative framework. J Bus Logist 23(1):145–180

    Article  Google Scholar 

  • Çebi F, Otay İ (2016) A two-stage fuzzy approach for supplier evaluation and order allocation problem with quantity discounts and lead time. Inf Sci 339:143–157

    Article  Google Scholar 

  • Chardine-Baumann E, Botta-Genoulaz V (2014) A framework for sustainable performance assessment of supply chain management practices. Comput Ind Eng 76:138–147

    Article  Google Scholar 

  • Chen T-Y (2013) A linear assignment method for multiple-criteria decision analysis with interval type-2 fuzzy sets. Appl Soft Comput 13(5):2735–2748

    Article  Google Scholar 

  • Chen S-M, Hong J-A (2014) Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets and the TOPSIS method. IEEE Trans Syst Man Cybern Syst 44(12):1665–1673

    Article  Google Scholar 

  • Chen S-M, Kuo L-W (2017) Autocratic decision making using group recommendations based on interval type-2 fuzzy sets, enhanced Karnik–Mendel algorithms, and the ordered weighted aggregation operator. Inf Sci 412–413:174–193

    Article  MathSciNet  Google Scholar 

  • Chen S-M, Lee L-W (2010a) Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method. Expert Syst Appl 37(4):2790–2798

    Article  Google Scholar 

  • Chen S-M, Lee L-W (2010b) Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets. Expert Syst Appl 37(1):824–833

    Article  MathSciNet  Google Scholar 

  • Chen S-M, Lee L-W (2010c) Fuzzy multiple criteria hierarchical group decision-making based on interval type-2 fuzzy sets. IEEE Trans Syst Man Cybern Part A Syst Hum 40(5):1120–1128

    Article  MathSciNet  Google Scholar 

  • Chen S-M, Wang C-Y (2013) Fuzzy decision making systems based on interval type-2 fuzzy sets. Inf Sci 242:1–21

    Article  MathSciNet  MATH  Google Scholar 

  • Chen S-M, Yang M-W, Lee L-W, Yang S-W (2012) Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets. Expert Syst Appl 39(5):5295–5308

    Article  Google Scholar 

  • Cheng S-H, Chen S-M, Huang Z-C (2016) Autocratic decision making using group recommendations based on ranking interval type-2 fuzzy sets. Inf Sci 361–362:135–161

    Article  Google Scholar 

  • Dobos I, Vörösmarty G (2014) Green supplier selection and evaluation using DEA-type composite indicators. Int J Prod Econ 157:273–278

    Article  Google Scholar 

  • Dou Y, Zhu Q, Sarkis J (2014) Evaluating green supplier development programs with a grey-analytical network process-based methodology. Eur J Oper Res 233(2):420–431

    Article  MATH  Google Scholar 

  • Gonzalez CI, Melin P, Castro JR, Mendoza O, Castillo O (2017) General type-2 fuzzy edge detection in the preprocessing of a face recognition system. In: Melin P, Castillo O, Kacprzyk J (eds) Nature-inspired design of hybrid intelligent systems. Springer, Berlin, pp 3–18

  • Govindan K, Rajendran S, Sarkis J, Murugesan P (2015) Multi criteria decision making approaches for green supplier evaluation and selection: a literature review. J Clean Prod 98:66–83

    Article  Google Scholar 

  • Grimm JH, Hofstetter JS, Sarkis J (2014) Critical factors for sub-supplier management: a sustainable food supply chains perspective. Int J Prod Econ 152:159–173

    Article  Google Scholar 

  • Gupta P, Mehlawat MK, Grover N (2016) Intuitionistic fuzzy multi-attribute group decision-making with an application to plant location selection based on a new extended VIKOR method. Inf Sci 370–371:184–203

    Article  Google Scholar 

  • Hashemi SH, Karimi A, Tavana M (2015) An integrated green supplier selection approach with analytic network process and improved Grey relational analysis. Int J Prod Econ 159:178–191

    Article  Google Scholar 

  • Hsu C-W, Kuo T-C, Chen S-H, Hu AH (2013) Using DEMATEL to develop a carbon management model of supplier selection in green supply chain management. J Clean Prod 56:164–172

    Article  Google Scholar 

  • Igarashi M, de Boer L, Fet AM (2013) What is required for greener supplier selection? A literature review and conceptual model development. J Purch Supply Manag 19(4):247–263

    Article  Google Scholar 

  • Kahraman C, Öztayşi B, Uçal Sarı İ, Turanoğlu E (2014) Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowl Based Syst 59:48–57

    Article  Google Scholar 

  • Kannan D, Jabbour ABLdS, Jabbour CJC (2014) Selecting green suppliers based on GSCM practices: using fuzzy TOPSIS applied to a Brazilian electronics company. Eur J Oper Res 233(2):432–447

    Article  MathSciNet  MATH  Google Scholar 

  • Kumar A, Jain V, Kumar S (2014) A comprehensive environment friendly approach for supplier selection. Omega 42(1):109–123

    Article  MathSciNet  Google Scholar 

  • Kuo RJ, Hsu CW, Chen YL (2015) Integration of fuzzy ANP and fuzzy TOPSIS for evaluating carbon performance of suppliers. Int J Environ Sci Technol 12(12):3863–3876

    Article  Google Scholar 

  • Li Y, Liu X, Chen Y (2012) Supplier selection using axiomatic fuzzy set and TOPSIS methodology in supply chain management. Fuzzy Optim Decis Making 11(2):147–176

    Article  MathSciNet  MATH  Google Scholar 

  • Lima-Junior FR, Carpinetti LCR (2016) Combining SCOR® model and fuzzy TOPSIS for supplier evaluation and management. Int J Prod Econ 174:128–141

    Article  Google Scholar 

  • Luthra S, Govindan K, Kannan D, Mangla SK, Garg CP (2017) An integrated framework for sustainable supplier selection and evaluation in supply chains. J Clean Prod 140 Part 3:1686–1698

    Article  Google Scholar 

  • Mani V, Agrawal R, Sharma V (2014) Supplier selection using social sustainability: AHP based approach in India. Int Strateg Manag Rev 2(2):98–112

    Article  Google Scholar 

  • Martínez GE, Mendoza DO, Castro JR, Melin P, Castillo O (2017) Choquet integral and interval type-2 fuzzy choquet integral for edge detection. In: Nature-inspired design of hybrid intelligent systems. Springer, pp 79–97

  • Mendel JM (2007) Type-2 fuzzy sets and systems: an Overview [corrected reprint]. IEEE Comput Intell Mag 2(2):20–29

    Article  Google Scholar 

  • Mendel JM, John RI, Liu F (2006) Interval type-2 fuzzy logic systems made simple. IEEE Trans Fuzzy Syst 14(6):808–821

    Article  Google Scholar 

  • Mendel JM, Rajati MR, Sussner P (2016) On clarifying some definitions and notations used for type-2 fuzzy sets as well as some recommended changes. Inf Sci 340–341:337–345

    Article  MathSciNet  Google Scholar 

  • Motevali Haghighi S, Torabi SA, Ghasemi R (2016) An integrated approach for performance evaluation in sustainable supply chain networks (with a case study). J Clean Prod 137:579–597

    Article  Google Scholar 

  • Najariyan M, Mazandarani M, John R (2017) Type-2 fuzzy linear systems. Granul Comput 2(3):175–186

    Article  Google Scholar 

  • Olivas F, Valdez F, Castillo O, Gonzalez CI, Martinez G, Melin P (2017) Ant colony optimization with dynamic parameter adaptation based on interval type-2 fuzzy logic systems. Appl Soft Comput 53:74–87

    Article  Google Scholar 

  • Opricovic S (1998) Multicriteria optimization of civil engineering systems. Fac Civ Eng Belgrad 2(1):5–21

    MathSciNet  Google Scholar 

  • Opricovic S, Tzeng G-H (2002) Multicriteria planning of post-earthquake sustainable reconstruction. Comput Aided Civ Infrastruct Eng 17(3):211–220

    Article  Google Scholar 

  • Opricovic S, Tzeng G-H (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156(2):445–455

    Article  MATH  Google Scholar 

  • Opricovic S, Tzeng G-H (2007) Extended VIKOR method in comparison with outranking methods. Eur J Oper Res 178(2):514–529

    Article  MATH  Google Scholar 

  • Pedrycz W, Chen SM (2015) Granular computing and decision-making: interactive and iterative approaches. Springer Publishing Company, Berlin (Incorporated)

    Book  Google Scholar 

  • Qin J, Liu X, Pedrycz W (2015) An extended VIKOR method based on prospect theory for multiple attribute decision making under interval type-2 fuzzy environment. Knowl Based Syst 86:116–130

    Article  Google Scholar 

  • Qin J, Liu X, Pedrycz W (2017) An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment. Eur J Oper Res 258(2):626–638

    Article  MathSciNet  MATH  Google Scholar 

  • Rubio E, Castillo O, Valdez F, Melin P, Gonzalez CI, Martinez G (2017) An extension of the fuzzy possibilistic clustering algorithm using type-2 fuzzy logic techniques. Adv Fuzzy Syst 2017(2017-01-31):1–23

    Article  Google Scholar 

  • Saaty TL (1980) The analytic hierarchical process. McGrow-Hill, New York

    MATH  Google Scholar 

  • Saaty TL (1996) The analytical network process. RWS Publications, Pittsburgh

    Google Scholar 

  • Saaty TL (2008) The analytic network process. Iran J Oper Res 1(1):1–27

    Google Scholar 

  • Shaverdi M, Heshmati MR, Eskandaripour E, Tabar AAA (2013) Developing sustainable SCM evaluation model using fuzzy AHP in publishing industry. Procedia Comput Sci 17:340–349

    Article  Google Scholar 

  • Shen L, Olfat L, Govindan K, Khodaverdi R, Diabat A (2013) A fuzzy multi criteria approach for evaluating green supplier’s performance in green supply chain with linguistic preferences. Resour Conserv Recycl 74:170–179

    Article  Google Scholar 

  • Shi P, Yan B, Shi S, Ke C (2015) A decision support system to select suppliers for a sustainable supply chain based on a systematic DEA approach. Inf Technol Manag 16(1):39–49

    Article  Google Scholar 

  • Su C-M, Horng D-J, Tseng M-L, Chiu ASF, Wu K-J, Chen H-P (2016) Improving sustainable supply chain management using a novel hierarchical grey-DEMATEL approach. J Clean Prod 134, Part B:469–481

    Article  Google Scholar 

  • Tavana M, Shabanpour H, Yousefi S, Farzipoor Saen R (2017) A hybrid goal programming and dynamic data envelopment analysis framework for sustainable supplier evaluation. Neural Comput Appl 28(12):3683–3696

    Article  Google Scholar 

  • Winter S, Lasch R (2016) Environmental and social criteria in supplier evaluation—lessons from the fashion and apparel industry. J Clean Prod 139:175–190

    Article  Google Scholar 

  • Wu T, Liu X-W, Liu S-L (2015) A fuzzy ANP with interval type-2 fuzzy sets approach to evaluate enterprise technological innovation ability. In: Paper presented at the fuzzy systems (FUZZ-IEEE), 2015 IEEE international conference on

  • Yazdani M, Chatterjee P, Zavadskas EK, Zolfani SH (2017) Integrated QFD-MCDM framework for green supplier selection. J Clean Prod 142:3728–3740

    Article  Google Scholar 

  • Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—I. Inf Sci 8(3):199–249

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou X, Pedrycz W, Kuang Y, Zhang Z (2016) Type-2 fuzzy multi-objective DEA model: an application to sustainable supplier evaluation. Appl Soft Comput 46:424–440

    Article  Google Scholar 

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (NSFC) under Project 71701158, MOE (Ministry of Education in China) Project of Humanities and Social Sciences (17YJC630114), and Fundamental Research Funds for the Central Universities under the Projects 2015VI002 and 2017VI010.

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Correspondence to Jindong Qin.

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Liu, K., Liu, Y. & Qin, J. An integrated ANP-VIKOR methodology for sustainable supplier selection with interval type-2 fuzzy sets. Granul. Comput. 3, 193–208 (2018). https://doi.org/10.1007/s41066-017-0071-4

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  • DOI: https://doi.org/10.1007/s41066-017-0071-4

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