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COPRAS method for multiple attribute group decision making under picture fuzzy environment and their application to green supplier selection

    Jianping Lu Affiliation
    ; Siqi Zhang Affiliation
    ; Jiang Wu Affiliation
    ; Yu Wei Affiliation

Abstract

The green supplier selection (GSS) is a significant part in green supply chain management (GSCM). Choosing optimal green supplier can not only realize the sustainable development of enterprises, but also maximize the utilization rate of resources and diminish the negative effect of environmental issues, which conforms to the theme of green development. As a multiple attribute group decision-making (MAGDM) issue, selecting optimal green supplier is of vital important to enterprises. However, how to select the optimal supplier for enterprises is a great challenge. To handle this issue, a novel picture fuzzy COPRAS (COmplex PRoportional Assessment) method is devised. First, some necessary theories related to picture fuzzy sets (PFSs) are briefly reviewed. In addition, a method called CRITIC (Criteria Importance Though Intercrieria Correlation) is utilized to calculate criteria’s weights. Afterwards, the conventional COPRAS method is extended to the PFSs to calculate each alternative’s utility degree. At last, the designed method is exacted to an application which is related to GSS and there also conduct some comparative analysis to demonstrate the designed method’s superiority. The final results show that the proposed model can be utilized to decide the optimum green supplier.

Keyword : multiple attribute group decision-making (MAGDM), picture fuzzy sets (PFSs), COPRAS method, CRITIC method, green supplier selection

How to Cite
Lu, J., Zhang, S., Wu, J., & Wei, Y. (2021). COPRAS method for multiple attribute group decision making under picture fuzzy environment and their application to green supplier selection. Technological and Economic Development of Economy, 27(2), 369-385. https://doi.org/10.3846/tede.2021.14211
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Apr 9, 2021
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References

Akcan, S., & Tas, M. A. (2019). Green supplier evaluation with SWARA-TOPSIS integrated method to reduce ecological risk factors. Environmental Monitoring and Assessment, 191, 1–22. https://doi.org/10.1007/s10661-019-7884-3

Arya, V., & Kumar, S. (2020). A new picture fuzzy information measure based on shannon entropy with applications in opinion polls using extended VIKOR-TODIM approach. Computational & Applied Mathematics, 39, 1–24. https://doi.org/10.1007/s40314-020-01228-1

Ashraf, S., Mahmood, T., Abdullah, S., & Khan, Q. (2018). Different approaches to multi-criteria group decision making problems for picture fuzzy environment. Bulletin of the Brazilian Mathematical Society New, 1–25.

Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3

Bausys, R., Zavadskas, E. K., & Kaklauskas, A. (2015). Application of neutrosophic set to multicriteria decision making by COPRAS. Economic Computation and Economic Cybernetics Studies and Research, 49, 91–105.

Cao, G. (2020). A multi-criteria picture fuzzy decision-making model for green supplier selection based on fractional programming. International Journal of Computers Communications & Control, 15(1), 1–14. https://doi.org/10.15837/ijccc.2020.1.3762

Tian, C., Peng, J.-j., Zhang, S., Zhang, W.-y., & Wang, J.-q. (2019). Weighted picture fuzzy aggregation operators and their applications to multi-criteria decision-making problems. Computers & Industrial Engineering, 137, 106037. https://doi.org/10.1016/j.cie.2019.106037

Chatterjee, K., & Kar, S. (2018). Supplier selection in Telecom supply chain management: a Fuzzy-Rasch based COPRAS-G method. Technological and Economic Development of Economy, 24, 765–791. https://doi.org/10.3846/20294913.2017.1295289

Cuong, B. C. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30, 409–420. https://doi.org/10.15625/1813-9663/30/4/5032

Darko, A. P., & Liang, D. C. (2020). An extended COPRAS method for multiattribute group decision making based on dual hesitant fuzzy Maclaurin symmetric mean. International Journal of Intelligent Systems, 35, 1021–1068. https://doi.org/10.1002/int.22234

Deng, X. M., Wang, J., Wei, G. W., & Lu, M. (2018). Models for multiple attribute decision making with some 2-tuple linguistic pythagorean fuzzy hamy mean operators. Mathematics, 6(11), 236. https://doi.org/10.3390/math6110236

Diakoulaki, D., Mavrotas, G., & Papayannakis, L. (1995). Determining objective weights in multiple criteria problems: The critic method. Computers & Operations Research, 22, 763–770. https://doi.org/10.1016/0305-0548(94)00059-H

Elkington, J. (1998). Partnerships from cannibals with forks: the triple bottom line of 21 st-century business. Environmental Quality Management, 8, 37–51. https://doi.org/10.1002/tqem.3310080106

Erdogan, S. A., Saparauskas, J., & Turskis, Z. (2019). A multi-criteria decision-making model to choose the best option for sustainable construction management. Sustainability, 11(8), 2239. https://doi.org/10.3390/su11082239

Fei, L. G., Xia, J., Feng, Y. Q., & Liu, L. N. (2019). An ELECTRE-based multiple criteria decision making method for supplier selection using Dempster-Shafer theory. IEEE Access, 7, 84701–84716. https://doi.org/10.1109/ACCESS.2019.2924945

Gao, H., Lu, M., & Wei, Y. (2019). Dual hesitant bipolar fuzzy hamacher aggregation operators and their applications to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 37, 5755–5766. https://doi.org/10.3233/JIFS-18266

Gao, H., Ran, L. G., Wei, G. W., Wei, C., & Wu, J. (2020). VIKOR method for MAGDM based on q-rung interval-valued orthopair fuzzy information and its application to supplier selection of medical consumption products. International Journal of Environmental Research and Public Health, 17(2), 525. https://doi.org/10.3390/ijerph17020525

Garg, H. (2017). Some picture fuzzy aggregation operators and their applications to multicriteria decision-making. Arabian Journal for Science and Engineering, 42, 5275–5290. https://doi.org/10.1007/s13369-017-2625-9

Harridan, 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. https://doi.org/10.1016/j.cor.2016.11.005

He, T. T., Wei, G. W., Lu, J. P., Wei, C., & Lin, R. (2019). Pythagorean 2-tuple linguistic taxonomy method for supplier selection in medical instrument industries. International Journal of Environmental Research and Public Health, 16(23), 4875. https://doi.org/10.3390/ijerph16234875

Ho, W., Xu, X. W., & Dey, P. K. (2010). Multi-criteria decision making approaches for supplier evaluation and selection: A literature review. European Journal of Operational Research, 202, 16–24. https://doi.org/10.1016/j.ejor.2009.05.009

Jin, Y., Wu, H. C., Sun, D. C., Zeng, S. Z., Luo, D. D., & Peng, B. (2019). A multi-attribute pearson’s picture fuzzy correlation-based decision-making method. Mathematics, 7(10), 999. https://doi.org/10.3390/math7100999

Kaya, R., & Yet, B. (2019). Building Bayesian networks based on DEMATEL for multiple criteria decision problems: A supplier selection case study. Expert Systems with Applications, 134, 234–248. https://doi.org/10.1016/j.eswa.2019.05.053

Keshavarz Ghorabaee, M., Amiri, M., Sadaghiani, J. S., & Goodarzi, G. H. (2014). Multiple criteria group decision-making for supplier selection based on COPRAS method with interval type-2 fuzzy sets. International Journal of Advanced Manufacturing Technology, 75, 1115–1130. https://doi.org/10.1007/s00170-014-6142-7

Kilic, H. S., & Yalcin, A. S. (2020). Modified two-phase fuzzy goal programming integrated with IFTOPSIS for green supplier selection. Applied Soft Computing, 93, 106371. https://doi.org/10.1016/j.asoc.2020.106371

Li, Z. X., & Lu, M. (2019). Some novel similarity and distance measures of pythagorean fuzzy sets and their applications. Journal of Intelligent & Fuzzy Systems, 37, 1781–1799. https://doi.org/10.3233/JIFS-179241

Liang, W.-Z., Zhao, G.-Y., & Luo, S.-Z. (2018). An integrated EDAS-ELECTRE method with picture fuzzy information for cleaner production evaluation in gold mines. IEEE Access, 6, 65747–65759. https://doi.org/10.1109/ACCESS.2018.2878747

Liao, H. C., Long, Y. L., Ming, T., Mardani, A., & Xu, J. P. (2019). Low carbon supplier selection using a hesitant fuzzy linguistic span method integrating the analytic network process. Transformations in Business & Economics, 18, 67–87.

Lin, M. W., Huang, C., & Xu, Z. S. (2020). MULTIMOORA based MCDM model for site selection of car sharing station under picture fuzzy environment. Sustainable Cities and Society, 53, 101873. https://doi.org/10.1016/j.scs.2019.101873

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

Lu, J. P., He, T. T., Wei, G. W., Wu, J., & Wei, C. (2020). Cumulative prospect theory: performance evaluation of government purchases of home-based elderly-care services using the pythagorean 2-tuple linguistic TODIM method. International Journal of Environmental Research and Public Health, 17(6), 1939. https://doi.org/10.3390/ijerph17061939

Lu, J. P., & Wei, C. (2019). TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information. Journal of Intelligent & Fuzzy Systems, 37, 1731–1740. https://doi.org/10.3233/JIFS-179236

Makhesana, M. A. (2015). Application of improved complex proportional assessment (COPRAS) method for rapid prototyping system selection. Rapid Prototyping Journal, 21, 671–674. https://doi.org/10.1108/RPJ-03-2014-0027

Matić, B., Jovanović, S., Das, D. K., Zavadskas, E. K., & Marinković, M. (2019). A new hybrid MCDM model: sustainable supplier selection in a construction company. Symmetry, 11(3), 353. https://doi.org/10.3390/sym11030353

Min, H., & Kim, I. (2012). Green supply chain research: past, present, and future. Logistics Research, 4, 39–47. https://doi.org/10.1007/s12159-012-0071-3

Mohanty, R. P., & Prakash, A. (2014). Green supply chain management practices in India: an empirical study. Production Planning & Control, 25, 1322–1337. https://doi.org/10.1080/09537287.2013.832822

Pishchulov, G., Trautrims, A., Chesney, T., Gold, S., & Schwab, L. (2019). The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection. International Journal of Production Economics, 211, 166–179. https://doi.org/10.1016/j.ijpe.2019.01.025

Rathi, K., & Balamohan, S. (2017). A mathematical model for subjective evaluation of alternatives in fuzzy multi-criteria group decision making using COPRAS Method. International Journal of Fuzzy Systems, 19, 1290–1299. https://doi.org/10.1007/s40815-016-0256-z

Roy, J., Sharma, H. K., Kar, S., Zavadskas, E. K., & Saparauskas, J. (2019). An extended COPRAS model for multi-criteria decision-making problems and its application in web-based hotel evaluation and selection. Economic Research-Ekonomska Istraživanja, 32, 219–253. https://doi.org/10.1080/1331677X.2018.1543054

Soheilirad, S., Govindan, K., Mardani, A., Zavadskas, E. K., Nilashi, M., & Zakuan, N. (2018). Application of data envelopment analysis models in supply chain management: a systematic review and meta-analysis. Annals of Operations Research, 271, 915–969. https://doi.org/10.1007/s10479-017-2605-1

Son, L. H. (2016). Generalized picture distance measure and applications to picture fuzzy clustering. Applied Soft Computing, 46, 284–295. https://doi.org/10.1016/j.asoc.2016.05.009

Son, L. H. (2017). Measuring analogousness in picture fuzzy sets: from picture distance measures to picture association measures. Fuzzy Optimization and Decision Making, 16, 359–378. https://doi.org/10.1007/s10700-016-9249-5

Stanujkic, D., Karabasevic, D., Zavadskas, E. K., Smarandache, F., & Brauers, W. K. M. (2019). A bipolar fuzzy extension of the MULTIMOORA method. Informatica, 30, 135–152. https://doi.org/10.15388/Informatica.2019.201

Wang, C. N., Yang, C. Y., & Cheng, H. C. (2019a). A Fuzzy Multicriteria Decision-Making (MCDM) model for sustainable supplier evaluation and selection based on triple bottom line approaches in the garment industry. Processes, 7. https://doi.org/10.3390/pr7070400

Wang, C. Y., Zhou, X. Q., Tu, H. N., & Tao, S. D. (2017). Some geometric aggregation operators based on picture fuzzy sets and their application in multiple attribute decision making. Italian Journal of Pure and Applied Mathematics, 37, 477–492.

Wang, J., Gao, H., & Lu, M. (2019b). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1707–1730. https://doi.org/10.3233/JIFS-179235

Wang, L., Peng, J. J., & Wang, J. Q. (2018a). A multi-criteria decision-making framework for risk ranking of energy performance contracting project under picture fuzzy environment. Journal of Cleaner Production, 191, 105–118. https://doi.org/10.1016/j.jclepro.2018.04.169

Wang, L., Zhang, H. Y., Wang, J. Q., & Li, L. (2018b). Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project. Applied Soft Computing, 64, 216–226. https://doi.org/10.1016/j.asoc.2017.12.014

Wang, L., Zhang, H. Y., Wang, J. Q., & Wu, G. F. (2020a). Picture fuzzy multi-criteria group decisionmaking method to hotel building energy efficiency retrofit project selection. Rairo-Operations Research, 54, 211–229. https://doi.org/10.1051/ro/2019004

Wang, L., Wang, X.-k., Peng, J.-j., & Wang, J.-q. (2020b). The differences in hotel selection among various types of travellers: A comparative analysis with a useful bounded rationality behavioural decision support model. Tourism Management, 76, 103961. https://doi.org/10.1016/j.tourman.2019.103961

Wang, R. (2019). Research on the application of the financial investment risk appraisal models with some interval number muirhead mean operators. Journal of Intelligent & Fuzzy Systems, 37(2), 1741–1752. https://doi.org/10.3233/JIFS-179237

Wei, G. W. (2016). Picture fuzzy cross-entropy for multiple attribute decision making problems. Journal of Business Economics and Management, 17, 491–502. https://doi.org/10.3846/16111699.2016.1197147

Wei, G. W., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2018). Projection models for multiple attribute decision making with picture fuzzy information. International Journal of Machine Learning and Cybernetics, 9, 713–719. https://doi.org/10.1007/s13042-016-0604-1

Wei, G. W., Wang, J., Wei, C., Wei, Y., & Zhang, Y. (2019a). Dual Hesitant pythagorean fuzzy hamy mean operators in multiple attribute decision making. IEEE Access, 7, 86697–86716. https://doi.org/10.1109/ACCESS.2019.29249

Wei, G. W., Wang, R., Wang, J., Wei, C., & Zhang, Y. (2019b). Methods for Evaluating the technological innovation capability for the high-tech enterprises with generalized interval neutrosophic number bonferroni mean operators. IEEE Access, 7, 86473–86492. https://doi.org/10.1109/ACCESS.2019.2925702

Wei, G. W., Wei, C., Wu, J., & Wang, H. J. (2019c). Supplier selection of medical consumption products with a probabilistic linguistic MABAC method. International Journal of Environmental Research and Public Health, 16(24), 5082. https://doi.org/10.3390/ijerph16245082

Wei, G. W., Zhang, S. Q., Lu, J. P., Wu, J., & Wei, C. (2019d). An extended bidirectional projection method for picture fuzzy MAGDM and Its application to safety assessment of construction project. IEEE Access, 7, 166138–166147. https://doi.org/10.1109/ACCESS.2019.2953316

Wu, L. P., Gao, H., & Wei, C. (2019a). VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment. Journal of Intelligent & Fuzzy Systems, 37, 2001–2008. https://doi.org/10.3233/JIFS-179262

Wu, L. P., Wang, J., & Gao, H. (2019b). Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators. Journal of Intelligent & Fuzzy Systems, 36, 5693–5709. https://doi.org/10.3233/JIFS-181545

Wu, Q., Zhou, L. G., Chen, Y., & Chen, H. Y. (2019c). An integrated approach to green supplier selection based on the interval type-2 fuzzy best-worst and extended VIKOR methods. Information Sciences, 502, 394–417. https://doi.org/10.1016/j.ins.2019.06.049

Xu, Z., Qin, J. D., Liu, J., & Martinez, L. (2019). Sustainable supplier selection based on AHPSort II in interval type-2 fuzzy environment. Information Sciences, 483, 273–293. https://doi.org/10.1016/j.ins.2019.01.013

Yu, C. X., Shao, Y. F., Wang, K., & Zhang, L. P. (2019). A group decision making sustainable supplier selection approach using extended topsis under interval-valued Pythagorean fuzzy environment (Vol. 121, pg. 1, 2018). Expert Systems with Applications, 123, 386–386. https://doi.org/10.1016/j.eswa.2019.01.053

Yucenur, G. N., Caylak, S., Gonul, G., & Postalcioglu, M. (2020). An integrated solution with SWARA&COPRAS methods in renewable energy production: City selection for biogas facility. Renewable Energy, 145, 2587–2597. https://doi.org/10.1016/j.renene.2019.08.011

Zavadskas, E. K., Čereška, A., Matijošius, J., Rimkus, A., & Bausys, R. (2019a). Internal Combustion engine analysis of energy ecological parameters by neutrosophic MULTIMOORA and SWARA methods. Energies, 12(8), 1415. https://doi.org/10.3390/en12081415

Zavadskas, E. K., Kaklauskas, A., & Sarka, V. (1994). The new method of multi-criteria complex proportional assessment of projects. Technological and Economic Development of Economy, 3, 131–139.

Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2019b). Solution models based on symmetric and asymmetric information. Symmetry-Basel, 11(4), 500. https://doi.org/10.3390/sym11040500

Zavadskas, E. K., Antucheviciene, J., & Chatterjee, P. (2018). Multiple-Criteria Decision-Making (MCDM) techniques for business processes information management. Information, 10(1), 4. https://doi.org/10.3390/info10010004

Zhang, H. R., Zhang, R. T., Huang, H. Q., & Wang, J. (2018). Some picture fuzzy Dombi Heronian mean operators with their application to multi-attribute decision-making. Symmetry, 10(11), 593. https://doi.org/10.3390/sym10110593