Green suppler selection by an integrated method with stochastic acceptability analysis and MULTIMOORA

    Xiaomei Mi   Affiliation
    ; Huchang Liao   Affiliation
    ; Yi Liao Affiliation
    ; Qi Lin Affiliation
    ; Benjamin Lev   Affiliation
    ; AbdullahI Al-Barakati   Affiliation


In the process of supplier selection for green supply chain management, uncertain information may appear in alternatives’ performances or experts’ preferences. The stochastic multicriteria acceptability analysis (SMAA) is a beneficial technique to tackling the uncertain information in such a problem and the MULTIMOORA is a robust technique to aggregate alternatives’ utilities. This study dedicates to proposing an SMAA-MULTIMOORA method by considering the advantages of both methods. The integrated method can accept uncertain information as inputs. The steps of the SMAA-MULTIMOORA are illustrated. A case study about the selection of green suppliers is given to show the validity and robustness of the SMAA-MULTIMOORA method.

Keyword : green supplier selection, stochastic information, multi-criteria acceptability analysis, SMAA, MULTIMOORA

How to Cite
Mi, X., Liao, H., Liao, Y., Lin, Q., Lev, B., & Al-Barakati, A. . (2020). Green suppler selection by an integrated method with stochastic acceptability analysis and MULTIMOORA. Technological and Economic Development of Economy, 26(3), 549-572.
Published in Issue
Jun 2, 2020
Abstract Views
PDF Downloads
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.


Akman, G. (2015). Evaluating suppliers to include green supplier development programs via fuzzy cmeans and VIKOR methods. Computers & Industrial Engineering, 86, 69–82.

Akgül, E., Özemn, M., Aydoğan, E. K., & Türksoy, H. G. (2017). Optimization of the murata vortex spinning machine parameters by the SMAA-MOORA approach. Industria Textila, 68(5), 323–331.

Altuntas, S., Dereli, T., & Yilmaz, M. K. (2015). Evaluation of excavator technologies: Application of data fusion based MULTIMOORA methods. Journal of Civil Engineering and Management, 21(8), 977–997.

Antucheviciene, J., Kala, Z., Marzouk, M., & Vaidogas, E. R. (2015). Solving civil engineering problems by means of fuzzy and stochastic MCDM methods: Current state and future research. Mathematical Problems in Engineering, 2015, 362579.

Awasthi, A., & Kannan, G. (2016). Green supplier development program selection using NGT and VIKOR under fuzzy environment. Computers & Industrial Engineering, 91, 100–108.

Bakeshlou, E. A., Khamseh, A. A., Asl, M. A. G., Sadeghi, J., & Abbaszadeh, M. (2017). Evaluating a green supplier selection problem using a hybrid MODM algorithm. Journal of Intelligent Manufacturing, 28(4), 913–927.

Banaeian, N., Mobli, H., Fahimnia, B., Nielsen, I. E., & Omid, M. (2018). Green supplier selection using fuzzy group decision making methods: A case study from the agri-food industry. Computers & Operations Research, 89, 337–347.

Brauers, W. K. M., & Zavadskas, E. K. (2006). The MOORA method and its application to privatization in a transition economy. Control and Cybernetics, 35(2), 445–469.

Brauers, W. K. M., & Zavadskas, E. K. (2010). Project management by multimoora as an instrument for transition economies. Technological and Economic Development of Economy, 16(1), 5–24.

Brauers, W. K. M., & Zavadskas, E. K. (2012). Robustness of MULTIMOORA: A method for multiobjective optimization. Informatica, 23(1), 1–15.

Büyüközkan, G., & Çifçi, G. (2012). A novel hybrid MCDM approach based on fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers. Experts Systems with Applications, 39(3), 3000–3011.

Chen, X., Zhao, L., & Liang, H. M. (2018). A novel multi-attribute group decision-making method based on the MULTIMOORA with linguistic evaluations. Soft Computing, 22(16), 5347–5361.

Chithambaranathan, P., Subramanian, N., Gunasekaran, A., & Palaniappan, P. L. K. (2015). Service supply chain environmental performance evaluation using grey based hybrid MCDM approach. International Journal of Production Economics, 166, 163–176.

Choquet, G. (1953). Theory of capacities. Annales de l’Institut Fourier, 5, 131–295.

Dorfeshan, Y., Mousavi, S. M., Mohagheghi, V., & Vahdani, B. (2018). Selecting project-critical path by a new interval type-2 fuzzy decision methodology based on MULTIMOORA, MOOSRA and TPOP methods. Computers & Industry Engineering, 120, 160–178.

dos Santos, B. M., Godoy, L. P., & Campos, L. M. S. (2019). Performance evaluation of green suppliers using entropy-TOPSIS-F. Journal of Cleaner Production, 207, 498–509.

Fishman, G. (1996). Monte Carlo: Concepts, algorithms, and applications. Springer.

Freeman, J., & Chen, T. (2015). Green supplier selection using an AHP-Entropy-TOPSIS framework. Supply Chain Management, 20(3), 327–340.

Gou, X. J., Liao, H. C., Xu, Z. S., & Herrera, F. (2017). Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: A case of study to evaluate the implementation status of haze controlling measures. Information Fusion, 38, 22–34.

Govindan, K., Rajendran, S., Sarkis, J. & Murugesan, P. (2015). Multi criteria decision making approaches for green supplier evaluation and selection: A literature review. Journal of Cleaner Production, 98, 66–83.

Govindan, K., Kadziński, M., & Sivakumar, R. (2017). Application of a novel PROMETHEE-based method for construction of a group compromise ranking to prioritization of green suppliers in food supply chain. Omega, 71, 129–145.

Govindan, K., & Sivakumar, R. (2016). Green supplier selection and order allocation in a low-carbon paper industry: integrated multi-criteria heterogeneous decision-making and multi-objective linear programming approaches. Annals of Operations Research, 238(1–2), 243–276.

Haeri, S. A. S., & Rezaei, J. (2019). A grey-based green supplier selection model for uncertain environments. Journal of Cleaner Production, 221, 768–784.

Hafezalkotob, A., Hafezalkotob, A., Liao, H. C., & Herrera, F. (2019). An overview of MULTIMOORA for multi-criteria decision-making: Theory, developments, applications, and challenges. Information Fusion, 51, 145–177.

Hafezalkotob, A., Hafezalkotob, A., Liao, H. C., & Herrera, F. (2020). Interval MULTIMOORA method integrating interval Borda rule and interval best-worst-method-based weighting model: Case study on hybrid vehicle engine selection. IEEE Transactions on Cybernetics, 50(3), 1157–1169.

Hafezalkotob, A., Hafezalkotob, A., & Sayadi, M. K. (2016). Extension of MULTIMOORA method with interval numbers: An application in materials selection. Applied Mathematical Modelling, 40(2), 1372–1386.

Hamdan, S., & Cheaitou, A. (2017). Supplier selection and order allocation with green criteria: An MCDM and multi-objective optimization approach. Computers & Operations Research, 81, 282–304.

Hashemi, S. H., Karimi, A., & Tavana, M. (2015). An integrated green supplier selection approach with analytic network process and improved Grey relational analysis. International Journal of Production Economics, 159, 178–191.

Hsu, C. W., Kuo, T. C., Chen, S. H., & Hu, A. H. (2013). Using DEMATEL to develop a carbon management model of supplier selection in green supply chain management. Journal of Cleaner Production, 56, 164–172.

Yazdani, M., Chatterjee, P., Zavadskas, E. K., & Hashemkhani Zolfani, S. (2017). Integrated QFD-MCDM framework for green supplier selection. Journal of Cleaner Production, 142(Part 4), 3728– 3740.

Kannan, D., Govindan, K., & Rajendran, S. (2015). Fuzzy Axiomatic Design approach based green supplier selection: A case study from Singapore. Journal of Cleaner Production, 96, 194–208.

Kannan, D., Jabbour, A. B. L. D., & Jabbour, C. J. C. (2014). Selecting green suppliers based on GSCM practices: Using fuzzy TOPSIS applied to a Brazilian electronics company. European Journal of Operational Research, 233(2), 432–477.

Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2017a). A new hybrid simulation-based assignment approach for evaluating airlines with multiple service quality criteria. Journal of Air Transport Management, 63, 45–60.

Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2017b). Stochastic EDAS method for multi-criteria decision-making with normally distributed data. Journal of Intelligent & Fuzzy Systems, 33(3), 1627–1638.

Keshavarz Ghorabaee, M., Zavadskas, E. K., Amiri, M., & Esmaeili, A. (2016). Multi-criteria evaluation of green suppliers using an extended WASPAS method with interval type-2 fuzzy sets. Journal of Cleaner Production, 137, 213–229.

Khaksar, E., Abbasnejad, T., Esmaeili, A., & Tamosaitiene, J. (2016). The effect of green supply chain management practices on environmental performance and competitive advantage: A case study of the cement industry. Technological and Economic Development of Economy, 22(2), 293–308.

Lahdelma, R., & Salminen, P. (2001). SMAA-2: Stochastic multicriteria acceptability analysis for group decision making. Operations Research, 49(3), 444–454.

Lazauskas, M., Kutut, V., & Zavadskas, E. K. (2015). Multicriteria assessment of unfinished construction projects. Gradevinar, 67(4), 319–328.

Liang, X., Jiang, Y. P., & Liu, P. D. (2018). Stochastic multiple-criteria decision making with 2-tuple aspirations: A method based on disappointment stochastic dominance. International Transactions in Operational Research, 25(3), 913–940.

Liao, C. N., Fu, Y. K., & Wu, L. C. (2016). Integrated FAHP, ARAS-F and MSGP methods for green supplier evaluation and selection. Technological and Economic Development of Economy, 22(5), 651–669.

Liao, H. C., Tang, M., Li, Z. M., & Lev, B. (2019a). Bibliometric analysis for highly cited papers in operations research and management science based on Essential Science Indicators. Omega, 88, 223–236.

Liao, H. C., Qin, R., Gao, C. Y., Wu, X. L., Hafezalkotob, A., & Herrera, F. (2019b). Score-HeDLiSF: A score function of hesitant fuzzy linguistic term set based on hesitant degrees and linguistic scale functions: An application to unbalanced hesitant fuzzy linguistic MULTIMOORA. Information Fusion, 48, 39–54.

Liao, H. C., Xu, Z. S., Herrera-Viedma, E., & Herrera, F. (2018). Hesitant fuzzy linguistic term set and its application in decision making: A state-of-the art survey. International Journal of Fuzzy System, 20(7), 2084–2110.

Liou, J. J. H., Tamosaitiene, J., Zavadskas, E. K., & Tzeng, G. H. (2016). New hybrid COPRAS-G MADM Model for improving and selecting suppliers in green supply chain management. International Journal of Production Research, 54(1), 114–134.

Liu, P. D., Gao, H., & Ma, J. H. (2019). Novel green supplier selection method by combining quality function deployment with partitioned Bonferroni mean operator in interval type-2 fuzzy environment. Information Sciences, 490, 292–316.

Lo, H. W., Liou, J. J. H., Wang, H. S., & Tsai, Y. S. (2018). An integrated model for solving problems in green supplier selection and order allocation. Journal of Cleaner Production, 190, 339–352.

Lu, Z. M., Sun, X. K., Wang, Y. X., & Xu, C. B. (2019). Green supplier selection in straw biomass industry based on cloud model and possibility degree. Journal of Cleaner Production, 209, 995–1005.

Luo, L., Zhang, C., & Liao, H. C. (2019). Distance-based intuitionistic multiplicative MULTIMOORA method integrating a novel weight-determining method for multiple criteria group decision making, Computers & Industrial Engineering, 131, 82–98.

Milton, J. S., & Arnold, J. C. (1995). Introduction to probability and statistics. McGraw-Hill.

Mohammadi, H., Farahani, F. V. Noroozi, M., & Lashgari, A. (2017). Green supplier selection by developing a new group decision-making method under type 2 fuzzy uncertainty. International Journal of Advanced Manufacturing Technology, 93(1–4), 1443–1462.

Mousakhani, S., Nazari-Shirkouhi, S., & Bozorgi-Amiri, A. (2017). A novel interval type-2 fuzzy evaluation model based group decision analysis for green supplier selection problems: A case study of battery industry. Journal of Cleaner Production, 168, 205–218.

Pelissari, R., Oliveira, M. C., Amor, S. B., Kandakoglu, A., & Helleno, A. L. (2019). SMAA methods and their applications: A literature review and future research directions. Annals of Operations Research.

Qin, J. D., Liu, X. W., & Pedrycz, W. (2017). An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment. European Journal of Operational Research, 258(2), 626–638.

Sang, X. Z., & Liu, X. W. (2016). An interval type-2 fuzzy sets-based TODIM method and its application to green supplier selection. Journal of the Operational Research Society, 67(5), 722–734.

Sen, D. K., Datta, S., Patel, S. K., & Mahapatra, S. S. (2017). Green supplier selection in fuzzy context: A decision-making scenario on application of fuzzy-MULTIMOORA. International Journal of Services and Operations Management, 28(1), 98–140.

Shen, L. X., 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. Resource Conservation and Recycling, 74, 170–179.

Tang, X. Y., & Wei, G. W. (2018). Models for green supplier selection in green supply chain management with pythagorean 2-tuple linguistic information. IEEE Access, 6, 18042–18060.

Tervonen, T., & Figueira, J. R. (2008). A survey on stochastic multicriteria acceptability analysis methods. Journal of Multi-Criteria Decision Analysis, 15(1–2), 1–14.

Tseng, M. L., Islam, M. S., Karia, N., Fauzi, F. A., & Afrin, S. (2019). A literature review on green supply chain management: Trends and future challenges. Resource Conservation and Recycling, 141, 145–162.

Ustinovichius, L, & Simanaviciene, R. (2008). The application of stochastic dominance to sensitivity analysis in quantitative multiple criteria decision making. In 5th International Conference on Cooperative Design, Visualization and Engineering (pp. 184–191). Mallorca, Spain.

Wu, X. L., Liao, H. C., Xu, Z. S., Hafezalkotob, A., & Herrera, F. (2018). Probabilistic linguistic MULTIMOORA: A multi-criteria decision making method based on the probabilistic linguistic expectation function and the improved Borda rule. IEEE Transactions on Fuzzy Systems, 26(6), 3688–3702.

Zaras, K. (2004). Rough approximation of a preference relation by a multi-attribute dominance for deterministic, stochastic and fuzzy decision problems. European Journal of Operational Research, 159(1), 196–206.

Zou, Q., Zhou, J. Z., Zhou, C., Song, L. X., & Guo, J. (2013). Comprehensive flood risk assessment based on set pair analysis-variable fuzzy sets model and fuzzy AHP. Stochastic Environmental Research and Risk Assessment, 27(2), 525–546.