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Taxonomy Method for Multiple Attribute Group Decision Making Under the Spherical Fuzzy Environment
Volume 33, Issue 4 (2022), pp. 713–729
Pub. online: 26 September 2022      Type: Research Article      Open accessOpen Access
Received
1 August 2021
Accepted
1 September 2022
Published
26 September 2022

Abstract

In recent years, the multi-attribute group decision making (MAGDM) problem has received extensive attention and research, and it plays an increasingly important role in our daily life. Fuzzy environment provides a more accurate decision-making environment for decision makers, so the research on MAGDM problem under fuzzy environment sets (SFSs) has become popular. Taxonomy method has become an effective method to solve the problem of MAGDM. It also plays an important role in solving the problem of MAGDM combined with other environments. In this paper, a new method for MAGDM is proposed by combining Taxonomy method with SFSs (SF-Taxonomy). In addition, we use entropy weight method to calculate the objective weight of attributes, so that more objective results can be produced when solving MAGDM problems.

References

 
Ashraf, S., Abdullah, S., Mahmood, T., Ghani, F., Mahmood, T. (2019). Spherical fuzzy sets and their applications in multi-attribute decision making problems. Journal of Intelligent & Fuzzy Systems, 36, 2829–2844.
 
Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets Syst, 20, 87–96.
 
Aydogdu, A., Gul, S. (2020). A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision-making. International Journal of Intelligent Systems, 35, 1354–1374.
 
Bienkowska, W. (2013). Activities of local authorities in promoting enterpreneurship in Poland. In: Economic Science for Rural Development Conference Proceedings, Vol. 32, pp. 26–31.
 
Fernandez-Martinez, M., Sanchez-Lozano, J.M. (2021). Assessment of near-earth asteroid deflection techniques via spherical fuzzy sets. Advances in Astronomy, 2021, 6678056.
 
Garg, H. (2018a). Generalized interaction aggregation operators in intuitionistic fuzzy multiplicative preference environment and their application to multicriteria decision-making. Applied Intelligence, 48, 2120–2136.
 
Garg, H. (2018b). An improved cosine similarity measure for intuitionistic fuzzy sets and their applications to decision-making process. Hacettepe Journal of Mathematics and Statistics, 47, 1578–1594.
 
Garg, H., Arora, R. (2021). Generalized Maclaurin symmetric mean aggregation operators based on Archimedean t-norm of the intuitionistic fuzzy soft set information. Artificial Intelligence Review, 54, 3173–3213.
 
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, 4875.
 
Hellwing, Z. (1968a). Application of the taxonomic method in typological division of countries based on the level of their development and resources as well as skilled employees structure. Przegld Statystyczny, 4, 307–326.
 
Hellwing, Z. (1968b). Usage of taxonomic methods for the typological divisions countries. Stat Overview, 15, 307–327.
 
Hellwing, Z. (1968c). Procedure of evaluating high-level manpower date and typology of countries by means of the taxonomic method. Statistical Review, 15, 307–327.
 
Jurkowska, B. (2014). The Federal States of Germany-analysis and measurement of development using taxonomic methods. Oeconomia Copernicana, 5, 49–73.
 
Kaur, G., Garg, H. (2018). Multi-attribute decision-making based on Bonferroni mean operators under cubic intuitionistic fuzzy set environment. Entropy, 20, 65.
 
Kutlu Gündoğdu, F., Kahraman, C. (2019a). A novel fuzzy TOPSIS method using emerging unterval-valued spherical fuzzy sets. Engineering Applications of Artificial Intelligence, 85, 307–323.
 
Kutlu Gündoğdu, F., Kahraman, C. (2019b). Spherical fuzzy sets and spherical fuzzy TOPSIS method. Journal of Intelligent & Fuzzy Systems, 36, 337–352.
 
Kutlu Gündoğdu, F., Kahraman, C. (2019c). A novel VIKOR method using spherical fuzzy sets and its application to warehouse site selection. Journal of Intelligent & Fuzzy Systems, 37, 1197–1211.
 
Kutlu Gündoğdu, F.K., Kahraman, C. (2019d). Extension of WASPAS with spherical fuzzy sets. Informatica, 30, 269–292.
 
Kutlu Gündoğdu, F., Kahraman, C. (2020). Spherical fuzzy analytic hierarchy process (AHP) and its application to industrial robot selection. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A., Sari, I. (Eds.), Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making, INFUS 2019, Advances in Intelligent Systems and Computing, Vol. 1029. Springer, Cham, pp. 988–996.
 
Kutlu Gündoğdu, F., Kahraman, C. (2021). Optimal site selection of electric vehicle charging station by using spherical fuzzy TOPSIS method. In: Decision Making with Spherical Fuzzy Sets: Theory and Applications. Springer International Publishing, pp. 201–216.
 
Li, D.F., Wan, S.P. (2014a). A fuzzy inhomogenous multiattribute group decision making approach to solve outsourcing provider selection problems. Knowledge-Based Systems, 67, 71–89.
 
Li, D.F., Wan, S.P. (2014b). Fuzzy heterogeneous multiattribute decision making method for outsourcing provider selection. Expert Systems with Applications, 41, 3047–3059.
 
Lei, F., Wei, G., Wu, J., Wei, C., Guo, Y. (2020). QUALIFLEX method for MAGDM with probabilistic uncertain linguistic information and its application to green supplier selection. Journal of Intelligent & Fuzzy Systems, 39, 6819–6831.
 
Lei, F., Wei, G., Chen, X. (2021a). Model-based evaluation for online shopping platform with probabilistic double hierarchy linguistic CODAS method. International Journal of Intelligent Systems. https://doi.org/10.1002/int.22514.
 
Lei, F., Wei, G., Chen, X. (2021b). Some self-evaluation models of enterprise’s credit based on some probabilistic double hierarchy linguistic aggregation operators. Journal of Intelligent & Fuzzy Systems. https://doi.org/10.3233/JIFS-202922.
 
Liu, S., Yu, W., Chan, F.T.S., Niu, B. (2021). A variable weight-based hybrid approach for multi-attribute group decision making under interval-valued intuitionistic fuzzy sets. International Journal of Intelligent Systems, 36, 1015–1052.
 
Mathew, M., Chakrabortty, R.K., Ryan, M.J. (2020). A novel approach integrating AHP and TOPSIS under spherical fuzzy sets for advanced manufacturing system selection. Engineering Applications of Artificial Intelligence, 96, 103988.
 
Mishra, A.R., Mardani, A., Rani, P., Zavadskas, E.K. (2020). A novel EDAS approach on intuitionistic fuzzy set for assessment of health-care waste disposal technology using new parametric divergence measures. Journal of Cleaner Production, 272, 122807.
 
Opricovic, S. (1998). Multicriteria optimization of civil engineering systems. Faculty of Civil Engineering, pp. 5–21.
 
Sharaf, I.M. (2021). Spherical fuzzy VIKOR with SWAM and SWGM Operators for MCDM. In: Kahraman, C., Kutlu Gündoğdu, F. (Eds.), Decision Making with Spherical Fuzzy Sets: Theory and Applications. Springer International Publishing, pp. 217–240.
 
Szmidt, E., Kacprzyk, J. (2000). Distance between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114, 505–518.
 
Tao, R., Liu, Z.Y., Cai, R., Cheong, K.H. (2021). A dynamic group MCDM model with intuitionistic fuzzy set: perspective of alternative queuing method. Information Sciences, 555, 85–103.
 
Ullah, K., Mahmood, T., Jan, N. (2018). Similarity measures for T-spherical fuzzy sets with applications in pattern recognition. Symmetry-Basel, 10, 193.
 
Wei, G.W., Tang, Y.X., Zhao, M.W., Lin, R., Wu, J. (2020). Selecting the low-carbon tourism destination: based on Pythagorean fuzzy Taxonomy method. Mathematics, 8, 832.
 
Wei, C., Wu, J., Guo, Y., Wei, G. (2021). Green supplier selection based on CODAS method in probabilistic uncertain linguistic environment. Technological and Economic Development of Economy, 27, 530–549.
 
Xian, S.D., Dong, Y.F., Yin, Y.B. (2017a). Interval-valued intuitionistic fuzzy combined weighted averaging operator for group decision making. Journal of the Operational Research Society, 68, 895–905.
 
Xian, S.D., Jing, N., Xue, W.T., Chai, J.H. (2017b). A New Intuitionistic Fuzzy Linguistic Hybrid Aggregation Operator and Its Application for Linguistic Group Decision Making. International Journal of Intelligent Systems, 32, 1332–1352.
 
Xiao, L., Zhang, S.Q., Wei, G.W., Wu, J., Wei, C., Guo, Y.F., Wei, Y. (2020). Green supplier selection in steel industry with intuitionistic fuzzy Taxonomy method. Journal of Intelligent & Fuzzy Systems, 39, 7247–7258.
 
Xu, Y.J., Wang, Y.C., Miu, X.D. (2012). Multi-attribute decision making method for air target threat evaluation based on intuitionistic fuzzy sets. Journal of Systems Engineering and Electronics, 23, 891–897.
 
Xue, Y.G., Deng, Y., Garg, H. (2021). Uncertain database retrieval with measure – based belief function attribute values under intuitionistic fuzzy set. Information Sciences, 546, 436–447.
 
Ye, J. (2017). Intuitionistic fuzzy hybrid arithmetic and geometric aggregation operators for the decision-making of mechanical design schemes. Applied Intelligence, 47, 743–751.
 
Zadeh, L. (1965). Fuzzy sets. Information and Control, 8, 338–353.
 
Zeng, S.Z., Hussain, A., Mahmood, T., Ali, M.I., Ashraf, S., Munir, M. (2019). Covering-based spherical fuzzy rough set model hybrid with TOPSIS for multi-attribute decision-making. Symmetry-Basel, 11, 547.
 
Zhang, Q.H., Yang, C.C., Wang, G.Y. (2021). A sequential three-way decision model with intuitionistic fuzzy numbers. Ieee Transactions on Systems Man Cybernetics-Systems, 51, 2640–2652.
 
Zhao, M., Wei, G., Wei, C., Wu, J. (2021a). Improved TODIM method for intuitionistic fuzzy MAGDM based on cumulative prospect theory and its application on stock investment selection. International Journal of Machine Learning and Cybernetics, 12, 891–901.
 
Zhao, M., Wei, G., Wei, C., Wu, J., Wei, Y. (2021b). Extended CPT-TODIM method for interval-valued intuitionistic fuzzy MAGDM and its application to urban ecological risk assessment. Journal of Intelligent & Fuzzy Systems, 40, 4091–4106.

Biographies

Diao Fengxia

F. Diao is a graduate student at the School of Mathematics, Sichuan Normal University. Her research interests include multi-criteria group decision making, fuzzy sets, and spherical fuzzy sets.

Cai Qiang

G. Wei has an MSc and a PhD degree 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 with the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at 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 Intelligent Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems, International Journal of Machine Learning and Cybernetics, Fundamenta Informaticae, Informatica, Kybernetes, International Journal of Knowledge-Based and Intelligent Engineering Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer in 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.

Wei Guiwu
weiguiwu1973@sicnu.edu.cn

Q. Cai was born in 1968. He received the PhD in management science from University of Electronic Science and Technology of China, in 2009. He is currently a professor at the Busines School, Sichuan Normal University. He has contributed more than 40 journal articles to professional journals, such as Journal of Management Sciences in China, Systems Engineering-Theory & Practice, Chinese Journal of Management Science, Journal of Industrial Engineering and Engineering Management, Journal of Systems Engineering, and so on. His current research interests include energy finance, option game theory, computational finance, and technology innovation investment and management.


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Keywords
multi-attribute group decision-making (MAGDM) spherical fuzzy sets (SFSs) taxonomy entropy method

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