Optimizing decision-making with aggregation operators for generalized intuitionistic fuzzy sets and their applications in the tech industry.
Aggregation operators
Decision-making and optimization
Generalized intuitionistic fuzzy set
Intuitionistic fuzzy set
Score function
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
17 Jul 2024
17 Jul 2024
Historique:
received:
07
10
2023
accepted:
18
03
2024
medline:
18
7
2024
pubmed:
18
7
2024
entrez:
17
7
2024
Statut:
epublish
Résumé
Intuitionistic fuzzy sets (IFSs) represent a significant advancement in classical fuzzy set (FS) theory. This study advances IFS theory to generalized intuitionistic fuzzy sets (GIFS
Identifiants
pubmed: 39019873
doi: 10.1038/s41598-024-57461-9
pii: 10.1038/s41598-024-57461-9
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
16538Subventions
Organisme : Researchers Supporting Project Number (RSP2023R317) King Saud University, Riyadh, Saudi Arabia
ID : RSP2023R317
Informations de copyright
© 2024. The Author(s).
Références
Zadeh, L. A. Fuzzy sets. Inf. Control 8(3), 338–353 (1965).
doi: 10.1016/S0019-9958(65)90241-X
Atanassov, K. T. & Stoeva, S. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986).
doi: 10.1016/S0165-0114(86)80034-3
Hung, W. L. & Yang, M. S. Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recogn. Lett. 25(14), 1603–1611 (2004).
doi: 10.1016/j.patrec.2004.06.006
Garg, H. & Arora, R. A nonlinear-programming methodology for multi-attribute decision-making problem with interval-valued intuitionistic fuzzy soft sets information. Appl. Intell. 48, 2031–2046 (2018).
doi: 10.1007/s10489-017-1035-8
Garg, H., Agarwal, N. & Tripathi, A. Generalized intuitionistic fuzzy entropy measure of order α and degree β and its applications to multi-criteria decision making problem. Int. J. Fuzzy Syst. Appl. (IJFSA) 6(1), 86–107 (2017).
Xu, Z., & Chen, J. On geometric aggregation over interval-valued intuitionistic fuzzy information. In Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007). Vol. 2. 466–471). (IEEE, 2007).
Wei, G., & Wang, X. Some geometric aggregation operators based on interval-valued intuitionistic fuzzy sets and their application to group decision making. In 2007 International Conference on Computational Intelligence and Security (CIS 2007). 495–499. (IEEE, 2007).
Xu, Z. Intuitionistic fuzzy aggregation operators. IEEE Trans. Fuzzy Syst. 15(6), 1179–1187 (2007).
doi: 10.1109/TFUZZ.2006.890678
Yager, R. R. & Xu, Z. The continuous ordered weighted geometric operator and its application to decision making. Fuzzy Sets Syst. 157(10), 1393–1402 (2006).
doi: 10.1016/j.fss.2005.12.001
Atanassov, K. T. Operators over interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 64(2), 159–174 (1994).
doi: 10.1016/0165-0114(94)90331-X
De, S. K., Biswas, R. & Roy, A. R. Some operations on intuitionistic fuzzy sets. Fuzzy Sets Syst. 114(3), 477–484 (2000).
doi: 10.1016/S0165-0114(98)00191-2
Riecan, B. & Atanassov, A. Operation division by n over intuitionistic fuzzy sets. NIFS 16(4), 1–4 (2010).
Cường, B. C., Anh, T. H. & Hải, B. D. Some operations on type-2 intuitionistic fuzzy sets. J. Comput. Sci. Cybernet. 28(3), 274–283 (2012).
doi: 10.15625/1813-9663/28/3/2607
Parvathi, R., Riecan, B. & Atanassov, K. T. Properties of some operations defined over intuitionistic fuzzy sets. Notes Intuition. Fuzzy Sets 18(1), 1–4 (2012).
Mahmood, T. & Ali, Z. A novel approach of complex q-rung orthopair fuzzy Hamacher aggregation operators and their application for cleaner production assessment in gold mines. J. Ambient. Intell. Hum. Comput. 12, 8933–8959 (2021).
doi: 10.1007/s12652-020-02697-2
Mondal, T. K. & Samanta, S. K. Generalized intuitionistic fuzzy sets. J. Fuzzy Math. 10(4), 839–862 (2002).
Liu, H. C. Liu’s generalized intuitionistic fuzzy sets. J. Educ. Meas. Stat. 18, 69–81 (2010).
Despi, I., Opris, D., & Yalcin, E. Generalised Atanassov intuitionistic fuzzy sets. In Proceeding of the Fifth International Conference on Information, Process, and Knowledge Management. 51–56 (2013).
Jamkhaneh, E. B. & Nadarajah, S. A new generalized intuitionistic fuzzy set. Hacettepe J. Math. Stat. 44(6), 1537–1551 (2015).
Chen, S. M. & Chang, C. H. A novel similarity measure between Atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition. Inf. Sci. 291, 96–114 (2015).
doi: 10.1016/j.ins.2014.07.033
Srinivasan, R. & Palaniappan, N. Some operators on intuitionistic fuzzy sets of root type. Ann. Fuzzy Math. Inform. 4(2), 377–383 (2012).
Atanassov, K. T. A second type of intuitionistic fuzzy sets. Busefal 56, 66–70 (1993).
Yager, R. R. Generalized orthopair fuzzy sets. IEEE Trans. Fuzzy Syst. 25(5), 1222–1230 (2016).
doi: 10.1109/TFUZZ.2016.2604005
Yager, R. R. Pythagorean fuzzy subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS). 57–61. (IEEE, 2013).
Atanassov, K. T., & Atanassov, K. T. Intuitionistic Fuzzy Sets. 1–137. (Physica, 1999).
Senapati, T. & Yager, R. R. Fermatean fuzzy sets. J. Ambient. Intell. Hum. Comput. 11, 663–674 (2020).
doi: 10.1007/s12652-019-01377-0
Silambarasan, I. New operators for Fermatean fuzzy sets. Ann. Commun. Math 3(2), 116–131 (2020).
Pratama, D., Yusoff, B., Abdullah, L. & Kilicman, A. The generalized circular intuitionistic fuzzy set and its operations. AIMS Math. 8(11), 26758–26781 (2023).
doi: 10.3934/math.20231370
Chen, S. M. & Chang, C. H. Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf. Sci. 352, 133–149 (2016).
doi: 10.1016/j.ins.2016.02.049
Chen, S. M., Cheng, S. H. & Lan, T. C. Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf. Sci. 367, 279–295 (2016).
doi: 10.1016/j.ins.2016.05.044
Xu, Z. & Yager, R. R. Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. Gen. Syst. 35(4), 417–433 (2006).
doi: 10.1080/03081070600574353
Das, S., Kar, S. & Pal, T. Robust decision making using intuitionistic fuzzy numbers. Granul. Comput. 2, 41–54 (2017).
doi: 10.1007/s41066-016-0024-3
Jamkhaneh, E. B. & Garg, H. Some new operations over the generalized intuitionistic fuzzy sets and their application to decision-making process. Granular Comput. 3, 111–122 (2018).
doi: 10.1007/s41066-017-0059-0
Farid, H. M. A. & Riaz, M. q-Rung orthopair fuzzy Aczel-Alsina aggregation operators with multi-criteria decision-making. Eng. Appl. Artif. Intell. 122, 106105 (2023).
doi: 10.1016/j.engappai.2023.106105
Riaz, M. & Farid, H. M. A. Multicriteria decision-making with proportional distribution based spherical fuzzy fairly aggregation operators. Int. J. Intell. Syst. 37(10), 7079–7109 (2022).
doi: 10.1002/int.22873
Riaz, M. & Farid, H. M. A. Enhancing green supply chain efficiency through linear diophantine fuzzy soft-max aggregation operators. J. Indus. Intell. 1(1), 8–29 (2023).
Farid, H. M. A. & Riaz, M. Some generalized q-rung orthopair fuzzy Einstein interactive geometric aggregation operators with improved operational laws. Int. J. Intell. Syst. 36(12), 7239–7273 (2021).
doi: 10.1002/int.22587
Torra, V., & Narukawa, Y. On hesitant fuzzy sets and decision. In 2009 IEEE International Conference on Fuzzy Systems. 1378–1382. (IEEE, 2009).
Atanassov, K. T., & Vassilev, P. On the intuitionistic fuzzy sets of n-th type. In Advances in Data Analysis with Computational Intelligence Methods: Dedicated to Professor Jacek Żurada. 265–274 (2018).
Yager, R. R. Pythagorean membership grades in multicriteria decision making. IEEE Trans. Fuzzy Syst. 22(4), 958–965 (2013).
doi: 10.1109/TFUZZ.2013.2278989
Akram, M., Dudek, W. A. & Dar, J. M. Pythagorean Dombi fuzzy aggregation operators with application in multicriteria decision-making. Int. J. Intell. Syst. 34(11), 3000–3019 (2019).
doi: 10.1002/int.22183
Xu, Z. An overview of methods for determining OWA weights. Int. J. Intell. Syst. 20(8), 843–865 (2005).
doi: 10.1002/int.20097
Seikh, M. R. & Mandal, U. q-Rung orthopair fuzzy Archimedean aggregation operators: Application in the site selection for software operating units. Symmetry 15(9), 1680 (2023).
doi: 10.3390/sym15091680
Wang, W. & Liu, X. Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int. J. Intell. Syst. 26(11), 1049–1075 (2011).
doi: 10.1002/int.20498
Zhang, X. A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making. Int. J. Intell. Syst. 31(6), 593–611 (2016).
doi: 10.1002/int.21796
Garg, H. A new generalized Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. Int. J. Intell. Syst. 31(9), 886–920 (2016).
doi: 10.1002/int.21809
Garg, H. Generalized Pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-conorm for multicriteria decision-making process. Int. J. Intell. Syst. 32(6), 597–630 (2017).
doi: 10.1002/int.21860
Liu, P. & Wang, P. Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int. J. Intell. Syst. 33(2), 259–280 (2018).
doi: 10.1002/int.21927