Abstract
Supplier selection and order allocation are major tasks to companies in green supply chain management. Most literatures consider these two tasks as independent sub-problems. In this paper, we propose an integrated two-stage multiple criteria programming approach to solve them systematically. The approach includes both quantitative and qualitative analyses. In the first stage, an MULTIMOORA method based on linguistic Z-Numbers is employed to rank the green suppliers under multiple qualitative criteria (but that is not the final decision). In the second stage, the ranking result is input to a bi-objective non-linear integer programming model. The model then determines the suppliers selected and the quantity of order allocated to them. Furthermore, the model should determine the configuration of the productions because different configuration implies different resource needed. We present the comparative result with other quantitative methods. An illustrative example proves that our proposed model can achieve the desired consistency among objectives.
Similar content being viewed by others
References
Baležentis, A., Baležentis, T., & Brauers, W. K. (2012). Personnel selection based on computing with words and fuzzy MULTIMOORA. Expert Systems with Applications, 39(9), 7961–7967.
Baležentis, T., & Zeng, S. (2013). Group multi-criteria decision making based upon interval-valued fuzzy numbers: An extension of the MULTIMOORA method. Expert Systems with Applications, 40(2), 543–550.
Brauers, W. K., & Zavadskas, E. K. (2006). The MOORA method and its application to privatization in a transition economy. Control and Cybernetics, 35, 445–469.
Brauers, W. K., & Zavadskas, E. K. (2010). Project management by MULTIMOORA as an instrument for transition economies. Ukio Technologinis Ir Ekonominis Vystymas, 16(1), 5–24.
Cakravastia, A., & Takahashi, K. (2004). Integrated model for supplier selection and negotiation in a make-to-order environment. International Journal of Production Research, 42(21), 4457–4474.
Chen, C. T., Lin, C. T., & Huang, S. F. (2006). A fuzzy approach for supplier evaluation and selection in supply chain management. International Journal of Production Economics, 102(2), 289–301.
Degraeve, Z., & Roodhooft, F. (1999). Effectively selecting suppliers using total cost of ownership. Journal of Supply Chain Management, 35(4), 5–10.
Demirtas, E. A., & Üstün, Ö. (2008). An integrated multiobjective decision making process for supplier selection and order allocation. Omega, 36(1), 76–90.
Deng, X., Hu, Y., Deng, Y., & Mahadevan, S. (2014). Supplier selection using AHP methodology extended by D numbers. Expert Systems with Applications, 41(1), 156–167.
Gou, X., Liao, H., Xu, Z., & 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.
Guo, C., & Li, X. (2014). A multi-echelon inventory system with supplier selection and order allocation under stochastic demand. International Journal of Production Economics, 151, 37–47.
Kang, B., Wei, D., Li, Y., & Deng, Y. (2012). A method of converting Z-number to classical fuzzy number. Journal of Information and Computational Science, 9(3), 703–709.
Karlin, S. J., & Studden, W. J. (1967). Tchebycheff systems: With applications in analysis and statistics. Journal of the American Statistical Association, 62(319), 1093.
Kidd, J., Keeney, R. L., & Raiffa, H. (1977). Decisions with multiple objectives—preferences and value tradeoffs. Operational Research Quarterly, 28(3), 602.
Liu, P., Gao, H., & Fujita, H. (2020). The new extension of the MULTIMOORA method for sustainable supplier selection with intuitionistic linguistic rough numbers. Applied Soft Computing, 99, 106893.
Mi, X., Liao, H., Liao, Y., Lin, Q., & 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.
Wan, S. P., & Dong, J. Y. (2015). Power geometric operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Applied Soft Computing, 29, 153–168.
Wang, J. Q., Cao, Y. X., & Zhang, H. Y. (2017). Multi-criteria decision-making method based on distance measure and Choquet integral for linguistic Z-numbers. Cognitive Computation, 9(6), 827–842.
Wang, J. Q., Wu, J. T., Wang, J., Zhang, H. Y., & Chen, X. H. (2014). Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Information Sciences, 288, 55–72.
Wang, X., Gou, X., & Xu, Z. (2019). Assessment of traffic congestion with ORESTE method under double hierarchy hesitant fuzzy linguistic environment. Applied Soft Computing, 86, 105864.
Wang, Y., Tian, L., & Wu, Z. (2020). Trust modeling based on probabilistic linguistic term sets and the MULTIMOORA method. Expert Systems with Applications, 165, 113817.
Xian, S., Liu, Z., Gou, X., & Wan, W. (2020). Interval 2-tuple pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM. International Journal of Intelligent Systems, 35(4), 650–681.
Yeh, W. C., & Chuang, M. C. (2011). Using multi-objective genetic algorithm for partner selection in green supply chain problems. Expert Systems with Applications, 38(4), 4244–4253.
Yuan, Y., Xu, Z., & Zhang, Y. (2022). The DEMATEL–COPRAS hybrid method under probabilistic linguistic environment and its application in third party logistics provider selection. Fuzzy Optimization and Decision Making, 21(1), 137–156.
Zadeh, L. A. (2011). A note on Z-numbers. Information Sciences, 181(14), 2923–2932.
Funding
National natural science foundation of China, 11201333, Ling Gai.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Gai, L., Liu, Hc., Wang, Y. et al. Green supplier selection and order allocation using linguistic Z-numbers MULTIMOORA method and bi-objective non-linear programming. Fuzzy Optim Decis Making 22, 267–288 (2023). https://doi.org/10.1007/s10700-022-09392-1
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10700-022-09392-1