A new decision model for weighting of experts and selecting the best sustainable supplier in project procurement problems under a grey environment

Document Type : Research Paper


1 Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

2 School of Industrial Engineering, University of Tehran, Tehran, Iran


Project procurement is one of the essential parts of the project covering a large portion of project costs. Supplier selection is one of the significant issues in project procurement. The appropriate supplier must be selected before ordering the materials needed for the project. Hence, a new combination of COPRAS and GRA methods is presented for choosing the best project’s supplier under uncertain conditions in this paper. Moreover, the weight of criteria is specified utilizing the multi-objective optimization model (MOOM). Furthermore, in group decision-making, decision-makers' importance is different because of varying education, views,  and experience. Hence, determining the weights of decision-makers is inevitable. Nevertheless, decision-makers' importance is specified by a new version of a combination of COPRAS and GRA methods. To evaluate the proposed model's performance, a numerical example is solved, and the results are investigated.


Main Subjects

Büyüközkan, G., & Çifçi, G. (2011). A novel fuzzy multi-criteria decision framework for sustainable supplier selection with incomplete information. Computers in industry, 62(2), 164-174.
Chatterjee, P., Athawale, V. M., & Chakraborty, S. (2011). Materials selection using complex proportional assessment and evaluation of mixed data methods. Materials & Design, 32(2), 851-860.
Chen, C. H. (2019). A New Multi-Criteria Assessment Model Combining GRA Techniques with Intuitionistic Fuzzy Entropy-Based TOPSIS Method for Sustainable Building Materials Supplier Selection. Sustainability, 11(8), 2265.
Deng, J. L. (1989). Introduction to grey system theory. The Journal of Grey System, 1(1), 1–24.
Deng, J. L. (1982). Control problems of grey systems. Sys. & Contr. Lett., 1(5), 288-294.
Gitinavard, H., Mousavi, S.M. and Vahdani, B., (2017). Soft computing based on hierarchical evaluation approach and criteria interdependencies for energy decision-making problems: A case study. Energy, 118, pp.556-577.
Govindan, K., Mina, H., Esmaeili, A., & Gholami-Zanjani, S. M. (2020). An Integrated Hybrid Approach for Circular supplier selection and Closed loop Supply Chain Network Design under Uncertainty. Journal of Cleaner Production, 242, 118317.
Gupta, S., Soni, U., & Kumar, G. (2019). Green supplier selection using multi-criterion decision making under fuzzy environment: A case study in automotive industry. Computers & Industrial Engineering, 136, 663-680.
Haeri, S. A. S., & Rezaei, J. (2019). A grey-based green supplier selection model for uncertain environments. Journal of Cleaner Production, 221, 768-784.
Hashemi, H., Mousavi, S.M., Zavadskas, E.K., Chalekaee, A., and Turskis, Z., (2018), A new group decision model based on grey-intuitionistic fuzzy-ELECTRE and VIKOR for contractor assessment problem. Sustainability, 10, pp. 1635-1653.
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.
Kellner, F., & Utz, S. (2019). Sustainability in supplier selection and order allocation: combining integer variables with Markowitz portfolio theory. Journal of cleaner production, 214, 462-474.
Liu, H. C., Wang, L. E., You, X. Y., & Wu, S. M. (2019). Failure mode and effect analysis with extended grey relational analysis method in cloud setting. Total Quality Management & Business Excellence, 30(7-8), 745-767.
Liu, H. C., You, J. X., Li, P., & Su, Q. (2016). Failure mode and effect analysis under uncertainty: An integrated multiple criteria decision making approach. IEEE Transactions on Reliability, 65(3), 1380–1392.
Liu, S., & Lin, Y. (2006). Grey information: theory and practical applications. Springer Science & Business Media.
Mirkin, B., & Fishburn, P. (1979). Group Choice. Halsted Press.
Mousavi, S.M., Jolai, F., Tavakkoli-Moghaddam, R., and Vahdani, B., (2013). A fuzzy grey model based on the compromise ranking for multi-criteria group decision making problems in manufacturing systems. Journal of Intelligent and Fuzzy Systems, 24(4), pp. 819-827.
Mousavi, S.M., Vahdani, B., Tavakkoli-Moghaddam, R., and Tajik, N.,  (2014). Soft computing based on a fuzzy grey compromise solution approach with an application to the selection problem of material handling equipment. International Journal of Computer Integrated Manufacturing, 27(6), pp. 547-569.
Mousavi, S.M.,  Mirdamadi, S., Siadat, A., Dantan, J., and Tavakkoli-Moghaddam, R., (2015). An intuitionistic fuzzy grey model for selection problems with an application to the inspection planning in manufacturing firms, Engineering Applications of Artificial Intelligence, 39, pp. 157–167.
Mohagheghi, V., Mousavi, S.M. and Vahdani, B., (2017). Analyzing project cash flow by a new interval type-2 fuzzy model with an application to construction industry. Neural Computing and Applications, 28(11), pp.3393-3411.
Mousavi, S.M. and Vahdani, B., (2016). Cross-docking location selection in distribution systems: a new intuitionistic fuzzy hierarchical decision model. International Journal of computational intelligence Systems, 9(1), pp.91-109.
Mousavi, S.M., Vahdani, B. and Behzadi, S.S., (2016). Designing a model of intuitionistic fuzzy VIKOR in multi-attribute group decision-making problems. Iranian Journal of Fuzzy Systems, 13(1), pp.45-65.
Owusu, E. K., Chan, A. P., & Ameyaw, E. (2019). Toward a cleaner project procurement: Evaluation of construction projects’ vulnerability to corruption in developing countries. Journal of Cleaner Production, 216, 394-407.
Pu, W., Xu, F., Chen, R., & Marques, R. C. (2020). PPP project procurement model selection in China: does it matter?. Construction Management and Economics, 38(2), 126-139.
Ramanathan, R., & Ganesh, L. (1994). Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members’ weightages. European Journal of Operational Research, 79(2), 249–265.
Su, L., Wang, T., Wang, L., Li, H., & Cao, Y. (2019). Project procurement method selection using a multi-criteria decision-making method with interval neutrosophic sets. Information, 10(6), 201.
Tsaur, R. C., Chen, I. F., & Chan, Y. S. (2016). TFT-LCD industry performance analysis and evaluation using GRA and DEA models. International Journal of Production Research. doi: 10.1080/00207543.2016.1252863.
Vahdani, B., Mousavi, S. M., Tavakkoli-Moghaddam, R., Ghodratnama, A., & Mohammadi, M. (2014). Robot selection by a multiple criteria complex proportional assessment method under an interval-valued fuzzy environment. The International Journal of Advanced Manufacturing Technology, 73(5-8), 687-697.
Valipour, A., Yahaya, N., Md Noor, N., Antuchevičienė, J., & Tamošaitienė, J. (2017). Hybrid SWARA-COPRAS method for risk assessment in deep foundation excavation project: An Iranian case study. Journal of Civil Engineering and Management, 23(4), 524-532.
Wang, T. K., Zhang, Q., Chong, H. Y., & Wang, X. (2017). Integrated supplier selection framework in a resilient construction supply chain: An approach via analytic hierarchy process (AHP) and grey relational analysis (GRA). Sustainability, 9(2). Doi: 10.3390/su9020289.
Wu, W., & Peng, Y. (2016). Extension of grey relational analysis for facilitating group consensus to oil spill emergency management. Annals of Operations Research, 238(1–2), 615–635.
Yazdani, M., Chatterjee, P., Zavadskas, E. K., & Zolfani, S. H. (2017). Integrated QFD-MCDM framework for green supplier selection. Journal of Cleaner Production, 142, 3728-3740.
Yue, Z. (2011). A method for group decision-making based on determining weights of decision makers using TOPSIS. Applied Mathematical Modelling, 35(4), 1926-1936.
Yue, Z. (2011b). An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making. Expert Systems with Applications, 38(5), 6333–6338.
Yue, Z. (2011c). An extended TOPSIS for determining weights of decision makers with interval numbers. Knowledge-Based Systems, 24(1), 146–153.
Yue, Z. (2012). Extension of TOPSIS to determine weight of decision maker for group decision making problems with uncertain information. Expert Systems with Applications, 39(7), 6343-6350.
Yue, Z., Jia, Y., & Ye, G. (2009). An approach for multiple attribute group decision making based on intuitionistic fuzzy information. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17(3), 317–332.
Zabeti Targhi, S., & Azim Hosseini, S. (2020). Fuzzy Prioritization Of Suppliers With Project Procurement Planning Using The Meta-Heuristic Method. Revista Gestão & Tecnologia, 20(3).
Zavadskas, E. K., Kaklauskas, A., & Sarka, V. (1994). The new method of multicriteria complex proportional assessment of projects. Technological and economic development of economy, 1(3), 131-139.
Zavadskas, E. K., Turskis, Z., Tamošaitiené, J., & Marina, V. (2008). Multicriteria selection of project managers by applying grey criteria. Technological and Economic Development of Economy, 14(4), 462-477.
Zeng, Y. R., Wang, L., & Xu, X. H. (2017). An integrated model to select an ERP system for Chinese small- and medium-sized enterprise under uncertainty. Technological and Economic Development of Economy, 23(1), 38–58.