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Prioritized Aggregation Operators of GTHFNs MADM Approach for the Evaluation of Renewable Energy Sources
Volume 35, Issue 4 (2024), pp. 859–882
Vakkas Uluçay   Irfan Deli   Seyyed Ahmad Edalatpanah  

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https://doi.org/10.15388/24-INFOR570
Pub. online: 1 October 2024      Type: Research Article      Open accessOpen Access

Received
1 January 2024
Accepted
1 September 2024
Published
1 October 2024

Abstract

In this paper, firstly, we propose two new GTHFNs-prioritized aggregation operators called generalized trapezoidal hesitant fuzzy number prioritized weighted average operator and generalized trapezoidal hesitant fuzzy number prioritized weighted geometric operator. Secondly, we investigate the fundamental properties of the operators in detail such as idempotency, boundedness and monotonicity. Thirdly, we propose a method based on the developed GTHF-numbers prioritized aggregation operators for solving an MADM problem with GTHF-numbers. Fourthly, we give a numerical example of the developed method. Finally, a comparative analysis is given with some existing methods in solving an MADM problem with GTHF-numbers.

References

 
Akram, M., Alsulami, S., Khan, A., Karaaslan, F. (2020). Multi-criteria group decision-making using spherical fuzzy prioritized weighted aggregation operators. International Journal of Computational Intelligence Systems, 13(1), 1429–1446.
 
Ali, W., Shaheen, T., Haq, I.U., Toor, H., Akram, F., Garg, H., Uddin, M.Z., Hassan, M.M. (2023). Aczel-Alsina-based aggregation operators for intuitionistic hesitant fuzzy set environment and their application to multiple attribute decision-making process. AIMS Mathematics, 8(8), 18021–18039.
 
Anusha, G., Ramana, P.V., Sarkar, R. (2023). Hybridizations of Archimedean copula and generalized MSM operators and their applications in interactive decision-making with q-rung probabilistic dual hesitant fuzzy environment. Decision Making: Applications in Management and Engineering, 6(1), 646–678.
 
Atanassov, K. (1986). Intuitionistic Fuzzy Sets, Vol. 20. Elsevier, pp. 87–96.
 
Atanassov, K. (2000). Two theorems for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 110, 267–269.
 
Aydemir, S.B., Yilmaz Gündüz, S. (2020). Extension of multi-Moora method with some q-rung orthopair fuzzy Dombi prioritized weighted aggregation operators for multi-attribute decision making. Soft Computing, 24(24), 18545–18563.
 
Çelikbilek, Y., Tüysüz, F. (2016). An integrated grey based multi-criteria decision making approach for the evaluation of renewable energy sources. Energy, 115, 1246–1258.
 
Deli, I. (2020). A TOPSIS method by using generalized trapezoidal hesitant fuzzy numbers and application to a robot selection problem. Journal of Intelligent & Fuzzy Systems, 38(1), 779–793.
 
Deli, I. (2021). Bonferroni mean operators of generalized trapezoidal hesitant fuzzy numbers and their application to decision-making problems. Soft Computing, 25(6), 4925–4949.
 
Deli, I., Karaaslan, F. (2021). Generalized trapezoidal hesitant fuzzy numbers and their applications to multi criteria decision-making problems. Soft Computing, 25(2), 1017–1032.
 
Fahmi, A., Abdullah, S., Amin, F. (2021). Aggregation operators on cubic linguistic hesitant fuzzy numbers and their application in group decision-making. Granular Computing, 6, 303–320.
 
Fahmi, A., Abdullah, S., Amin, F., Ali, A., Ahmed, R., Shakeel, M. (2019). Trapezoidal cubic hesitant fuzzy aggregation operators and their application in group decision-making. Journal of Intelligent & Fuzzy Systems, 36(4), 3619–3635.
 
Garg, H., Rani, D. (2023). New prioritized aggregation operators with priority degrees among priority orders for complex intuitionistic fuzzy information. Journal of Ambient Intelligence and Humanized Computing, 14(3), 1373–1399.
 
Jana, C., Pal, M., Wang, J.-q. (2020). Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making. Soft Computing, 24, 3631–3646.
 
Jiang, X.-P. (2018). Interval intuitionistic trapezoidal fuzzy prioritized aggregating operators and their application to multiple attribute decision making. Journal of Intelligent Computing Volume, 9(3), 102.
 
Kumar, K., Chen, S.-M. (2022). Multiple attribute group decision making based on advanced linguistic intuitionistic fuzzy weighted averaging aggregation operator of linguistic intuitionistic fuzzy numbers. Information Sciences, 587, 813–824.
 
Li, D., Zeng, W., Zhao, Y. (2015). Note on distance measure of hesitant fuzzy sets. Information Sciences, 321, 103–115.
 
Liang, C., Zhao, S., Zhang, J. (2017). Multi-criteria group decision making method based on generalized intuitionistic trapezoidal fuzzy prioritized aggregation operators. International Journal of Machine Learning and Cybernetics, 8, 597–610.
 
Liao, H., Xu, Z., Zeng, X.-J. (2014). Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Information Sciences, 271, 125–142.
 
Liu, P., Gao, H. (2020). A novel green supplier selection method based on the interval type-2 fuzzy prioritized choquet bonferroni means. IEEE/CAA Journal of Automatica Sinica, 8(9), 1549–1566.
 
Liu, P., Li, Y., Antuchevičienė, J. (2016). Multi-criteria decision-making method based on intuitionistic trapezoidal fuzzy prioritised OWA operator. Technological and Economic Development of Economy, 22(3), 453–469.
 
Liu, P., Mahmood, T., Khan, Q. (2017). Multi-attribute decision-making based on prioritized aggregation operator under hesitant intuitionistic fuzzy linguistic environment. Symmetry, 9(11), 270.
 
Mizumoto, M., Tanaka, K. (1976). Some properties of fuzzy sets of type 2. Information and Control, 31(4), 312–340.
 
Rickard, J.T., Aisbett, J., Gibbon, G. (2008). Fuzzy subsethood for fuzzy sets of type-2 and generalized type-n. IEEE Transactions on Fuzzy Systems, 17(1), 50–60.
 
Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems, 25(6), 529–539.
 
Torra, V., Narukawa, Y. (2009). On hesitant fuzzy sets and decision. In: 2009 IEEE International Conference on Fuzzy Systems, pp. 1378–1382.
 
Verma, R. (2017). Multiple attribute group decision making based on generalized trapezoid fuzzy linguistic prioritized weighted average operator. International Journal of Machine Learning and Cybernetics, 8(6), 1993–2007.
 
Verma, R., Sharma, B.D. (2014). Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making. Journal of Uncertainty Analysis and Applications, 2, 1–19.
 
Wan, S., Dong, J., Yang, D. (2015). Trapezoidal intuitionistic fuzzy prioritized aggregation operators and application to multi-attribute decision making. Iranian Journal of Fuzzy Systems, 12(4), 1–32.
 
Wan, S.-P. (2013). Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Applied Mathematical Modelling, 37(6), 4112–4126.
 
Wang, W., Jiang, W., Han, X., Liu, S. (2022). An extended gained and lost dominance score method based risk prioritization for Fine-Kinney model with interval type-2 fuzzy information. Human and Ecological Risk Assessment: An International Journal, 28(1), 154–183.
 
Wang, Y.-M. (2009). Centroid defuzzification and the maximizing set and minimizing set ranking based on alpha level sets. Computers & Industrial Engineering, 57(1), 228–236.
 
Wang, Y.-M., Yang, J.-B., Xu, D.-L., Chin, K.-S. (2006). On the centroids of fuzzy numbers. Fuzzy Sets and Systems, 157(7), 919–926.
 
Wei, G. (2012). Hesitant fuzzy prioritized operators and their application to multiple attribute decision making. Knowledge-Based Systems, 31, 176–182.
 
Xia, M., Xu, Z. (2011). Hesitant fuzzy information aggregation in decision making. International Journal of Approximate Reasoning, 52(3), 395–407.
 
Xu, Z., Xia, M. (2011a). Distance and similarity measures for hesitant fuzzy sets. Information Sciences, 181(11), 2128–2138.
 
Xu, Z., Xia, M. (2011b). On distance and correlation measures of hesitant fuzzy information. International Journal of Intelligent Systems, 26(5), 410–425.
 
Yager, R.R. (2008). Prioritized aggregation operators. International Journal of Approximate Reasoning, 48(1), 263–274.
 
Yuan, J., Li, C., Li, W., Liu, D., Li, X. (2018). Linguistic hesitant fuzzy multi-criterion decision-making for renewable energy: a case study in Jilin. Journal of Cleaner Production, 172, 3201–3214.
 
Zadeh, L.A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
 
Zhao, X., Wei, G. (2013). Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making. Knowledge-Based Systems, 37, 472–479.

Biographies

Uluçay Vakkas
vakkas.ulucay@kilis.edu.tr

V. Uluc̣ay is an associate professor at the Department of Mathematic at Kilis 7 ARALIK University, Turkey. Received a MS degree of the Gaziantep University in 2008-2010 and PhD degree of the Gaziantep University in 2013-2017. His research intersts include extensions of fuzzy sets, extensions of soft sets, extensions of neutrosophic sets and decision-making.

Deli Irfan
irfandeli@kilis.edu.tr

İ. Deli was born in 1986 Denizli, Turkey. He received his PhD degree from Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaṣa University, Tokat, Turkey in 2013. Currently, he is working as a professor at the University of 7 ARALIK, Kilis, Turkey. His main interest areas include soft sets, fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, game theory, decision-making, optimization, and so on.

Edalatpanah Seyyed Ahmad
saedalatpanah@gmail.com

S.A. Edalatpanah is an associate professor at the University of Ayandegan, Tonekabon, Iran. He received his PhD in applied mathematics from the University of Guilan, Rasht, Iran. Since 2021, Dr. Edalatpanah has served as a Vice President of Research and Development Department at the University of Ayandegan. He is also an academic member of Guilan University and the Islamic Azad University of Iran. Additionally, he is an Honourary Adjunct at various institutions worldwide, including Maryam Abacha American University in Nigeria (https://maaun.edu.ng/international-faculty/).

Dr. Edalatpanah’s research focuses on soft computing, operational research, uncertainty theories, fuzzy sets and their extensions, numerical computations, numerical linear algebra, and optimization. He has authored over 250 publications in respected journals and conferences. He serves as an editor and lead guest editor for numerous prominent journals, including Economics, Management Decision, Soft Computing, Buildings, Computer Modeling in Engineering and Sciences, Mathematics, Intelligent Automation and Soft Computing, PeerJ Computer Science, Neutrosophic Sets and Systems, Decision Making Applications in Management and Engineering, and Advances in Mechanical Engineering.

Dr. Edalatpanah’s contributions have gained international recognition, and he has been listed among the Top 2 percent of scientists in the world by Stanford University since 2021.


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Keywords
hesitant fuzzy set generalized trapezoidal hesitant fuzzy numbers prioritized aggregation operator multiple attribute decision making renewable energy sources

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This work was not supported by any funding agency.

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