1. Home
  2. Issues
  3. Volume 32, Issue 1 (2021)
  4. Improved CODAS Method Under Picture 2-Tu ...

Informatica


Improved CODAS Method Under Picture 2-Tuple Linguistic Environment and Its Application for a Green Supplier Selection
Volume 32, Issue 1 (2021), pp. 195–216
Pub. online: 17 April 2020      Type: Research Article      Open accessOpen Access
Received
1 September 2019
Accepted
1 March 2020
Published
17 April 2020

Abstract

In this paper, the CODAS (Combinative Distance-based Assessment) is utilized to address some MAGDM issues by using picture 2-tuple linguistic numbers (P2TLNs). At first, some essential concepts of picture 2-tuple linguistic sets (P2TLSs) are briefly reviewed. Then, the CODAS method with P2TLNs is constructed and all calculating procedures are simply depicted. Eventually, an empirical application of green supplier selection has been offered to demonstrate this novel method and some comparative analysis between the CODAS method with P2TLNs and several methods are also made to confirm the merits of the developed method.

References

 
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. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
 
Atanassov, K.T. (1994). Operators over interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 64, 159–174.
 
Atanassov, K., Gargov, G. (1989). Interval valued intuitionistic fuzzy-sets. Fuzzy Sets and Systems, 31, 343–349.
 
Awasthi, A., Kannan, G. (2016). Green supplier development program selection using NGT and VIKOR under fuzzy environment. Computers & Industrial Engineering, 91, 100–108.
 
Badi, I., Shetwan, A.G., Abdulshahed, A.M. (2017). Supplier Selection Using Combinative Distance-Based Assessment (CODAS) Method for Multi-Criteria Decision-Making. Social Science Electronic Publishing.
 
Bolturk, E. (2018). Pythagorean fuzzy CODAS and its application to supplier selection in a manufacturing firm. Journal of Enterprise Information Management, 31, 550–564.
 
Cuong, B.C. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30, 409–420.
 
Cuong, B.C., Kreinovich, V. (2015). Picture fuzzy sets – a new concept for computational intelligence problems. Information & Communication Technologies.
 
Cuong, B.C., Ngan, R.T., Hai, B.D. (2015). An involutive picture fuzzy negator on picture fuzzy sets and some de Morgan triples. In: International Conference on Knowledge & Systems Engineering.
 
Deng, X.M., Gao, H. (2019). TODIM method for multiple attribute decision making with 2-tuple linguistic Pythagorean fuzzy information. Journal of Intelligent & Fuzzy Systems, 37, 1769–1780.
 
Diakoulaki, D., Mavrotas, G., Papayannakis, L. (1995). Determining objective weights in multiple criteria problems: the critic method. Computers & Operations Research, 22, 763–770.
 
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.
 
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, 525.
 
Garg, H. (2017). Some picture fuzzy aggregation operators and their applications to multicriteria decision-making. Arabian Journal for Science and Engineering, 42, 5275–5290.
 
Ghorabaee, M.K., Amiri, M., Zavadskas, E.K., Hooshmand, R., Antucheviciene, J. (2016). Fuzzy extension of the CODAS method for multi-criteria market segment evaluation. Journal of Business Economics and Management, 18, 1–19.
 
Ghorabaee, M.K., Zavadskas, E.K., Turskis, Z., Antucheviciene, J. (2017). A new combinative distance-based assessment (CODAS) method for multi-criteria decision-making. Economic Computation and Economic Cybernetics Studies and Research, 50, 25–44.
 
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.
 
He, T.T., Wei, G.W., Lu, J.P., Wei, C., Lin, R. (2019a). Pythagorean 2-tuple linguistic Taxonomy method for supplier selection in medical instrument industries. International Journal of Environmental Research and Public Health, 16, 4875.
 
He, Y., Lei, F., Wei, G.W., Wang, R., Wu, J., Wei, C. (2019b). EDAS method for multiple attribute group decision making with probabilistic uncertain linguistic information and its application to green supplier selection. International Journal of Computational Intelligence Systems, 12, 1361–1370.
 
Herrera, F., Martinez, L. (2000). An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 8, 539–562.
 
Herrera, F., Martínez, L. (2001). The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 9, 33–48.
 
Hu, H.T., Xiong, H.T., You, Y.F., Yan, W. (2016). A mixed integer programming model for supplier selection and order allocation problem with fuzzy multiobjective. Scientific Programming.
 
Jana, C., Senapati, T., Pal, M., Yager, R.R. (2018). Picture fuzzy Dombi aggregation operators: application to MADM process. Applied Soft Computing, 73.
 
Joshi, D., Kumar, S. (2018). An approach to multi-criteria decision making problems using dice similarity measure for picture fuzzy sets. Communications in Computer & Information Science.
 
Ju, Y., Ju, D., Gonzalez, E.D.R.S., Giannakis, M., Wang, A. (2018). Study of site selection of electric vehicle charging station based on extended GRP method under picture fuzzy environment. Computers & Industrial Engineering, S0360835218303711.
 
Kannan, D., Khodaverdi, R., Olfat, L., Jafarian, A., Diabat, A. (2013). Integrated fuzzy multi criteria decision making method and multi-objective programming approach for supplier selection and order allocation in a green supply chain. Journal of Cleaner Production, 47, 355–367.
 
Lei, F., Wei, G.W., Gao, H., Wu, J., Wei, C. (2020). TOPSIS method for developing supplier selection with probabilistic linguistic information. International Journal of Fuzzy Systems, 22, 749–759.
 
Lei, F., Wei, G.W., Lu, J.P., Wei, C., Wu, J. (2019). GRA method for probabilistic linguistic multiple attribute group decision making with incomplete weight information and its application to waste incineration plants location problem. International Journal of Computational Intelligence Systems, 12, 1547–1556.
 
Li, Z.X., Lu, M. (2019). Some novel similarity and distance and measures of Pythagorean fuzzy sets and their applications. Journal of Intelligent & Fuzzy Systems, 37, 1781–1799.
 
Li, Z.X., Wei, G.W., Wang, R., Wu, J., Wei, C., Wei, Y. (2020). EDAS method for multiple attribute group decision making under q-rung orthopair fuzzy environment. Technological and Economic Development of Economy, 26, 86–102.
 
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.
 
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, 114–134.
 
Liu, M.L., Zeng, S.Z., Balezentis, T., Streimikiene, D. (2019). Picture fuzzy weighted distance measures and their application to investment selection. Amfiteatru Economic, 21, 682–695.
 
Liu, P.D., Wang, P. (2018). Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection. International Journal of Systems Science, 49, 1188–1211.
 
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, 1939.
 
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.
 
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, 1443–1462.
 
Pamucar, D., Badi, I., Sanja, K., Obradovic, R. (2018). A novel approach for the selection of power-generation technology using a linguistic neutrosophic CODAS method: a case study in Libya. Energies, 11.
 
Paydar, M.M., Saidi-Mehrabad, M. (2017). A hybrid genetic algorithm for dynamic virtual cellular manufacturing with supplier selection. International Journal of Advanced Manufacturing Technology, 92, 3001–3017.
 
Roy, J., Das, S., Kar, S., Pamučar, D. (2019). Extension of the CODAS approach using interval-valued intuitionistic fuzzy set for sustainable material selection in construction projects with incomplete weight information. Symmetry, 11.
 
Singh, P. (2015). Correlation coefficients for picture fuzzy sets. Journal of Intelligent & Fuzzy Systems, 28, 591–604.
 
Son, L.H. (2015). DPFCM: a novel distributed picture fuzzy clustering method on picture fuzzy sets. Expert Systems with Applications, 42, 51–66.
 
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.
 
Thong, N.T., Son, L.H. (2015). HIFCF: an effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis. Expert Systems with Applications, 42, 3682–3701.
 
Wang, C., Zhou, X. Tu, H., Tao, S. (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. (2019a). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1707–1730.
 
Wang, J., Wang, P., Wei, G.W., Wei, C., Wu, J. (2019b). Some power Heronian mean operators in multiple attribute decision-making based on q-rung orthopair hesitant fuzzy environment. Journal of Experimental & Theoretical Artificial Intelligence. https://doi.org/10.1080/0952813X.0952019.1694592.
 
Wang, J., Wei, G.W., Wang, R., Alsaadi, F.E., Hayat, T., Wei, C., Zhang, Y., Wu, J. (2019c). Some q-rung interval-valued orthopair fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making. International Journal of Intelligent Systems, 34, 2769–2806.
 
Wang, J., Wei, G.W., Wei, C., Wei, Y. (2020). MABAC method for multiple attribute group decision making under q-rung orthopair fuzzy environment. Defence Technology, 16, 208–216.
 
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.
 
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.
 
Wang, P., Wang, J., Wei, G.W. (2019a). EDAS method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1597–1608.
 
Wang, P., Wang, J., Wei, G.W., Wei, C., Wei, Y. (2019b). The multi-attributive border approximation area comparison (MABAC) for multiple attribute group decision making under 2-tuple linguistic neutrosophic environment. Informatica, 30, 799–818.
 
Wang, P., Wang, J., Wei, G.W., Wu, J., Wei, C., Wei, Y. (2020). CODAS method for multiple attribute group decision making under 2-tuple linguistic neutrosophic environment. Informatica, 31, 161–184.
 
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, 1741–1752.
 
Wei, G. (2017). Picture 2-tuple linguistic Bonferroni mean operators and their application to multiple attribute decision making. International Journal of Fuzzy Systems, 19, 997–1010.
 
Wei, G., Lei, F., Lin, R., Wang, R., Wei, Y., Wu, J., Wei, C. (2020). Algorithms for probabilistic uncertain linguistic multiple attribute group decision making based on the GRA and CRITIC method: application to location planning of electric vehicle charging stations. Economic Research-Ekonomska Istrazivanja, 33, 828–846.
 
Wei, G.W. (2016). Picture fuzzy cross-entropy for multiple attribute decision making problems. Journal of Business Economics and Management, 17, 491–502.
 
Wei, G.W., Alsaadi, F.E., Hayat, T., Alsaedi, A. (2018). Picture 2-tuple linguistic aggregation operators in multiple attribute decision making. Soft Computing, 22, 989–1002.
 
Wei, G.W., Wei, C., Wu, J., Wang, H.J. (2019a). Supplier selection of medical consumption products with a probabilistic linguistic MABAC method. International Journal of Environmental Research and Public Health, 16, 5082.
 
Wei, G.W., Zhang, S.Q., Lu, J.P., Wu, J., Wei, C. (2019b). An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project. IEEE Access, 7, 166138–166147.
 
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.
 
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.
 
Wu, L.P., Wei, G.W., Wu, J., Wei, C. (2020). Some interval-valued intuitionistic fuzzy dombi Heronian mean operators and their application for evaluating the ecological value of forest ecological tourism demonstration areas. International Journal of Environmental Research and Public Health, 17, 829.
 
Xu, Y., Xiaopu, S., Jun, W., Runtong, Z., Weizi, L., Yuping, X. (2018). A method to multi-attribute decision making with picture fuzzy information based on Muirhead mean. Journal of Intelligent & Fuzzy Systems, 1–17.
 
Zadeh, L.A. (1965). Fuzzy sets. Information and Control, 8, 338–356.
 
Zhang, H.R., Zhang, R.T., Huang, H.Q., Wang, J. (2018a). Some picture fuzzy dombi Heronian mean operators with their application to multi-attribute decision-making. Symmetry-Basel, 10.
 
Zhang, X.Y., Wang, J.Q., Hu, J.H. (2018b). On novel operational laws and aggregation operators of picture 2-tuple linguistic information for MCDM problems. International Journal of Fuzzy Systems, 20, 958–969.
 
Zhang, S., Gao, H., Wei, G., Wei, Y., Wei, C. (2019a) Evaluation based on distance from average solution method for multiple criteria group decision making under picture 2-tuple linguistic environment. Mathematics, 7.
 
Zhang, S.Q., Wei, G.W., Alsaadi, F.E., Hayat, T., Wei, C., Zhang, Z.P. (2019b). MABAC method for multiple attribute group decision making under picture 2-tuple linguistic environment. Soft Computing. https://doi.org/10.1007/s00500-00019-04364-x.
 
Zhou, J.M., Balezentis, T., Streimikiene, D. (2019). Normalized weighted Bonferroni harmonic mean-based intuitionistic fuzzy operators and their application to the sustainable selection of search and rescue robots. Symmetry-Basel, 11, 218.

Biographies

Zhang Siqi

S. Zhang is currently a master’s student at School of Business, Sichuan Normal University, Chengdu, 610101, PR China.

Wei Guiwu
[email protected]

Guiwu Wei has an MSc and a PhD degrees in applied mathematics from SouthWest Petroleum University, business administration from School of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher at the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor at the School of Business, Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer of a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Wang Rui

R. Wang has a PhD degree in management from the School of Accounting, Southwestern University of Finance and Economics, Chengdu, 610074, PR China. He is an associate professor at the School of Business, Sichuan Normal University. He is currently interested in decision making in financial management.

Wu Jiang

J. Wu has a PhD degree in management science and engineering from Southwest Jiaotong University, China. He is a professor at the School of Statistics, Southwestern University of Finance and Economics, Chengdu, 611130, PR China.

Wei Cun

C. Wei has an MSc degree in applied mathematics from SouthWest Petroleum University. Now, he is a PhD student at the School of Statistics, Southwestern University of Finance and Economics, Chengdu, 611130, PR China. He has published more than 10 papers in journals such as International Journal of Intelligent Systems, Journal of Intelligent and Fuzzy Systems, IEEE Access, Mathematics, Information. He is currently interested in aggregation operators, decision making and computing with words.

Guo Yanfeng

Y. Guo has a PhD degree in management science and engineering from Southwest Jiaotong University, China. He is an associate professor at the School of Finance, Southwestern University of Finance and Economics, Chengdu, 610074, PR China. He is currently interested in forecasting in financial and decision making in financial markets.

Wei Yu

Y. Wei has an MSc and a PhD degree in management science and engineering from Southwest Jiaotong University, China. He is a professor at the School of Finance, Yunnan University of Finance and Economics. He has published more than 120 papers in in journals, books and conference proceedings including journals such as Journal of Forecasting, Journal of Banking & Finance, Empirical Economics, Energy Economics, Economic Modelling, Applied Economics Letters, International Review of Economics & Finance. He has published two books (in Chinese). He has participated in several scientific committees and serves as a reviewer of a wide range of journals including Energy Economics, Journal of Forecasting, Emerging Market Finance and Trade, Physica A. He is currently interested in volatility modelling and forecasting in financial and energy markets, density forecasting and decision making in financial markets.


Full article Related articles Cited by PDF XML
Full article Related articles Cited by PDF XML

Copyright
© 2021 Vilnius University
Open access article under the CC BY license.

Keywords
Multiple attribute group decision making (MAGDM) picture fuzzy sets (PFSs) picture 2-tuple linguistic sets (P2TLSs) the CODAS method; green supplier selection

Funding
This paper is supported by the Natural Science Foundation of China (No. 71571128).

Metrics
since January 2020
1515

Article info
views

 827

Full article
views
716

PDF
downloads

 219

XML
downloads


Share


RSS