Group decision-making based on last aggregation approach under interval-valued Pythagorean fuzzy environment for sustainable project decision

Document Type : Article

Authors

Department of Industrial Engineering, Shahed University, Tehran, Iran

Abstract

Interval-valued Pythagorean fuzzy sets (IVPFSs) as enhanced type of Pythagorean fuzzy sets (PFSs) improve the expression of the degrees of membership, non-membership and hesitancy in comparison with intuitionistic fuzzy sets (IFSs). In this paper, to use the advantages of IVPFSs a new group decision-making method is introduced based on linear assignment method (LAM). In this approach, subjective and objective weights of criteria are taken into account. Moreover, the method applies a new ranking method for IVPFSs. To avoid the shortcomings of first aggregation methods, the introduced decision-making approach involves a last aggregation approach. Finally, the method is used in a case study of sustainable project evaluation in order to depict the applicability of this method.

Keywords


References:
1. Garg, H. "A novel improved accuracy function for interval valued Pythagorean fuzzy sets and its applications in the decision-making process", International Journal of Intelligent Systems, 32(12), pp. 1247-1260 (2017).
2. Mousavi, S.M. "Solving new product selection problem by a new hierarchical group decision-making approach with hesitant fuzzy setting", International Journal of Engineering Transactions B: Applications, 30(5), pp. 729-738 (2017).
3. Birjandi, A., Mousavi, S.M., Hajirezaie, M., et al. "A new weighted mixed integer nonlinear model and FPND solution algorithm for RCPSP with multi-route work packages under fuzzy uncertainty", Journal of Intelligent & Fuzzy Systems, 37, pp. 737-751 (2019).
4. Atanassov, K.T., Intuitionistic Fuzzy Sets, Central Tech Library, Bulgarian Academy Science, Sofia, Bulgaria, (1983).
5. Yager, R.R. and Abbasov, A.M. "Pythagorean membership grades, complex numbers, and decision making", International Journal of Intelligent Systems, 28(5), pp. 436-452 (2013).
6. Yager, R.R. "Pythagorean membership grades in multicriteria decision making", IEEE Trans Fuzzy Syst, 22, pp. 958-965 (2014).
7. Szmidt, E. Kacprzyk, J., and Bujnowski, P. "How to measure the amount of knowledge conveyed by Atanassov's intuitionistic fuzzy sets", Information Sciences, 257, pp. 276-285 (2014).
8. Xu, Z. and Liao, H. "Intuitionistic fuzzy analytic hierarchy process", IEEE Transactions on Fuzzy Systems, 22(4), pp. 749-761 (2014).
9. Zhang, X. and Xu, Z. "Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets", International Journal of Intelligent Systems, 29(12), pp. 1061-1078 (2014).
10. Peng, X. and Yang, Y. "Some results for Pythagorean fuzzy sets", International Journal of Intelligent Systems, 30(11), pp. 1133-1160 (2015).
11. Yager, R.R. "Properties and applications of Pythagorean fuzzy sets", In Imprecision and Uncertainty in Information Representation and Processing, Springer International Publishing, pp. 119-136 (2016).
12. Liang, D., Zhang, Y., Xu, Z., et al. "Pythagorean fuzzy VIKOR approaches based on TODIM for evaluating internet banking website quality of Ghanaian banking industry", Applied Soft Computing, 78, pp. 583-594 (2019).
13. Mohagheghi, V., Mousavi, S.M., Mojtahedi, M., et al. "Introducing a multi-criteria evaluation method using Pythagorean fuzzy sets: A case study focusing on resilient construction project selection", Kybernetes, 50(1), pp. 118-146 (2021). https://doi.org/10.1108/K- 04-2019-0225.
14. Garg, H. "A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decisionmaking processes", International Journal of Intelligent Systems, 31(12), pp. 1234-1252 (2016).
15. Yu, C., Shao, Y., Wang, K., et al. "A group decision making sustainable supplier selection approach using extended TOPSIS under interval-valued Pythagorean fuzzy environment", Expert Systems with Applications, 121, pp. 1-17 (2019).
16. Liang, D., Darko, A.P., and Zeng, J. "Interval-valued Pythagorean fuzzy power average-based MULTIMOORA method for multi-criteria decision-making", Journal of Experimental & Theoretical Artificial Intelligence, 32(5), pp. 845-874 (2020).
17. Ding, X.F. Liu, H.C., and Shi, H. "A dynamic approach for emergency decision making based on prospect theory with interval-valued Pythagorean fuzzy linguistic variables", Computers & Industrial Engineering, 131, pp. 57-65 (2019).
18. Wu, M.Q., Zhang, C.H., Liu, X.N., et al. "Green supplier selection based on DEA model in intervalvalued Pythagorean fuzzy environment", IEEE Access, 7, pp. 108001-108013 (2019).
19. Ilbahar, E. and Kahraman, C. "Retail store performance measurement using a novel interval-valued Pythagorean fuzzy WASPAS method", Journal of Intelligent & Fuzzy Systems, 35(3), pp. 3835-3846 (2018).
20. Bernardo, J.J. and Blin, J.M. "A programming model of consumer choice among multi-attributed brands", Journal of Consumer Research, 4(2), pp. 111-118 (1977).
21. Mohagheghi, V., Mousavi, S.M., Vahdani, B., et al. "A mathematical modeling approach for high and new technology-project portfolio selection under uncertain environments", Journal of Intelligent & Fuzzy Systems, 32(6), pp. 4069-4079 (2017).
22. Qi, X., Liang, C., and Zhang, J. "Generalized crossentropy based group decision making with unknown expert and attribute weights under interval-valued  intuitionistic fuzzy environment", Computers & Industrial Engineering, 79, pp. 52-64 (2015).
23. Zavadskas, E.K. Turskis, Z., Antucheviciene, J., et al. "Optimization of weighted aggregated sum product assessment", Elektronika ir Elektrotechnika, 122(6), pp. 3-6 (2012).
24. Lu, J., Zhang, G., and Ruan, D. "Intelligent multicriteria fuzzy group decision-making for situation assessments", Soft Computing, 12(3), pp. 289-299 (2008).
25. Peng, J.G. and Xia, G. "A systematic fuzzy multicriteria group decision-making approach for alternatives evaluation", Journal of the Operational Research Society, 70(9), pp. 1490-1501 (2019).
26. Davoudabadi, R., Mousavi, S.M., Saparauskas, J., et al. "Solving construction project selection problem by a new uncertain weighting and ranking based on compromise solution with linear assignment approach", Journal of Civil Engineering and Management, 25(3), pp. 241-251 (2019).
27. Mousavi, S.M. Foroozesh, N., Gitinavard, H., et al. "Solving group decision-making problems in manufacturing systems by an uncertain compromise ranking method", International Journal of Applied Decision Sciences, 11(1), pp. 55-78 (2018).
28. Mohagheghi, V. Mousavi, S.M. Antucheviciene, J., et al. "Sustainable infrastructure project selection by a new group decision-making framework introducing MORAS method in an interval type 2 fuzzy environment", International Journal of Strategic Property Management, 23(6), pp. 422-436 (2019).
29. Mohagheghi, V. and Mousavi, S.M. "D-WASPAS: Addressing social cognition in uncertain decision-making with an application to a sustainable project portfolio problem", Cognitive Computation, 12, pp. 619-641 (2020).
30. Dorfeshan, Y. and Mousavi, S.M. "A novel interval type-2 fuzzy decision model based on two new versions of relative preference relation-based MABAC and WASPAS methods (with an application in aircraft  maintenance planning)", Neural Computing and Applications, 32, pp. 3367-3385 (2020).
31. Haghighi, M.H., Mousavi, S.M., and Mohagheghi, V. "A new soft computing model based on linear assignment and linear programming technique for multidimensional analysis of preference with interval type- 2 fuzzy sets", Applied Soft Computing, 77, pp. 780-796 (2019).
32. Ma, J., Lu, J., and Zhang, G. "Decider: A fuzzy  ulticriteria group decision support system", Knowledge- Based Systems, 23(1), pp. 23-31 (2010).
33. Memari, A., Dargi, A., Jokar, M.R.A., et al. "Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method", Journal of Manufacturing  Systems, 50, pp. 9-24 (2019).
34. Deveci, K., Cin, R., and Kagizman, A. "A modified interval valued intuitionistic fuzzy CODAS method and its application to multi-criteria selection among renewable energy alternatives in Turkey", Applied Soft Computing, 96, pp. 106-117 (2020).
35. Mohagheghi, V., Mousavi, S.M., and Siadat, A. "A new approach in considering vagueness and lack of knowledge for selecting sustainable portfolio of production projects", In 2015 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), pp. 1732-1736 (Dec. 2015).
36. Roy, J., Das, S., Kar, S., et al. "An extension of the CODAS approach using interval-valued intuitionistic fuzzy set for sustainable material selection in construction projects with incomplete weight information", Symmetry, 11(3), pp. 393-405 (2019).
37. Mohagheghi, V., Mousavi, S.M., and Siadat, A. "Best product end-of-life scenario selection by a new decision-making process under Atanassov fuzzy uncertainty", In 2016 IEEE International Conference on Management of Innovation and Technology (ICMIT), pp. 313-317 (Sep. 2016).
38. Deng, H. "Comparing and ranking fuzzy numbers using ideal solutions", Applied Mathematical Modelling, 38(5), pp. 1638-1646 (2014).
39. Wei, C.P., Wang, P., and Zhang, Y.Z. "Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications", Information Sciences, 181(19), pp. 4273-4286 (2011).
40. Chen, T.Y. "A linear assignment method for multiplecriteria decision analysis with interval type-2 fuzzy sets", Applied Soft Computing, 13(5), pp. 2735-2748 (2013).
41. Zavadskas, E.K., Antucheviciene, J., Hajiagha, S.H.R., et al. "Extension of weighted aggregated sum product assessment with interval-valued intuitionistic fuzzy numbers (WASPAS-IVIF)", Applied Soft Computing, 24, pp. 1013-1021 (2014).
42. Awasthi, A. and Omrani, H. "A goal-oriented approach based on fuzzy axiomatic design for sustainable mobility project selection", International Journal of Systems Science: Operations & Logistics, 6(1), pp. 86- 98 (2019).
43. Li, M., Xu, K., and Huang, S. "Evaluation of green and sustainable building project based on extension matter-element theory in smart city application", Computational Intelligence, pp. 1-19 (2020).https://doi.org/10.1111/coin.12286.
44. Lei, X., Shiyun, T., Yanfei, D., et al. "Sustainable operation-oriented investment risk evaluation and optimization for renewable energy project: A case study of wind power in China", Annals of Operations Research, 290(1), pp. 223-241 (2020).
45. Oz, N.E., Mete, S., Serin, F., et al. "Risk assessment for clearing and grading process of a natural gas pipeline project: An extended TOPSIS model with Pythagorean fuzzy sets for prioritizing hazards", Human and Ecological Risk Assessment: An International Journal, 25(6), pp. 1615-1632 (2019).