Emerging technology selection is crucial for enterprise integration, driving innovation, competitiveness, and streamlining operations across diverse sectors like finance and healthcare. However, the decision-making process for technology adoption is often complex and fraught with uncertainties. Bipolar fuzzy sets offer a nuanced representation of uncertainty, allowing for simultaneous positive and negative membership degrees, making them valuable in decision-making and expert systems. In this paper, we introduce dynamic averaging and dynamic geometric operators under bipolar fuzzy environment. We also establish some of the fundamental crucial features of these operators. Moreover, we present a step by step mechanism to solve MADM problem under bipolar fuzzy dynamic aggregation operators. In addition, these new techniques are successfully applied for the selection of the most promising emerging technology for enterprise integration. Finally, a comparative study is conducted to show the validity and practicability of the proposed techniques in comparison to existing methods.
Citation: Dilshad Alghazzawi, Sajida Abbas, Hanan Alolaiyan, Hamiden Abd El-Wahed Khalifa, Alhanouf Alburaikan, Qin Xin, Abdul Razaq. Dynamic bipolar fuzzy aggregation operators: A novel approach for emerging technology selection in enterprise integration[J]. AIMS Mathematics, 2024, 9(3): 5407-5430. doi: 10.3934/math.2024261
Emerging technology selection is crucial for enterprise integration, driving innovation, competitiveness, and streamlining operations across diverse sectors like finance and healthcare. However, the decision-making process for technology adoption is often complex and fraught with uncertainties. Bipolar fuzzy sets offer a nuanced representation of uncertainty, allowing for simultaneous positive and negative membership degrees, making them valuable in decision-making and expert systems. In this paper, we introduce dynamic averaging and dynamic geometric operators under bipolar fuzzy environment. We also establish some of the fundamental crucial features of these operators. Moreover, we present a step by step mechanism to solve MADM problem under bipolar fuzzy dynamic aggregation operators. In addition, these new techniques are successfully applied for the selection of the most promising emerging technology for enterprise integration. Finally, a comparative study is conducted to show the validity and practicability of the proposed techniques in comparison to existing methods.
[1] | N. Jan, J. Gwak, D. Pamucar, Mathematical analysis of generative adversarial networks based on complex picture fuzzy soft information, Appl. Soft Comput., 137 (2023), 110088. https://doi.org/10.1016/j.asoc.2023.110088 doi: 10.1016/j.asoc.2023.110088 |
[2] | A. Naseem, M. Akram, K. Ullah, Z. Ali, Aczel-alsina aggregation operators based on complex single-valued neutrosophic information and their application in decision-making problems, Decision Making Advances, 1 (2023), 86–114. https://doi.org/10.31181/dma11202312 doi: 10.31181/dma11202312 |
[3] | D. Alghazzawi, M. Liaqat, A. Razaq, H. Alolaiyan, U. Shuaib, J. B. Liu, Selection of optimal approach for cardiovascular disease diagnosis under complex intuitionistic fuzzy dynamic environment, Mathematics, 11 (2023), 4616. https://doi.org/10.3390/math11224616 doi: 10.3390/math11224616 |
[4] | L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X |
[5] | S. Kahne, A contribution to the decision making in environmental design, P. IEEE, 63 (1975), 518–528. https://doi.org/10.1109/PROC.1975.9779 doi: 10.1109/PROC.1975.9779 |
[6] | R. Jain, A procedure for multiple-aspect decision making using fuzzy sets, Int. J. Syst. Sci., 8 (1977), 1–7. https://doi.org/10.1080/00207727708942017 doi: 10.1080/00207727708942017 |
[7] | D. Dubois, H. Prade, Operations on fuzzy numbers, Int. J. Syst. Sci., 9 (1978), 613–626. https://doi.org/10.1080/00207727808941724 |
[8] | R. R. Yager, Aggregation operators and fuzzy systems modeling, Fuzzy Set. Syst., 67 (1994), 129–145. https://doi.org/10.1016/0165-0114(94)90082-5 doi: 10.1016/0165-0114(94)90082-5 |
[9] | K. T. Atanassov, On intuitionistic fuzzy sets theory, Heidelberg: Springer Berlin, 2012. https://doi.org/10.1007/978-3-642-29127-2 |
[10] | R. R. Yager, J. Kacprzyk, The ordered weighted averaging operators: theory and applications, New York: Springer, 1997. https://doi.org/10.1007/978-1-4615-6123-1 |
[11] | R. R. Yager, On ordered weighted averaging aggregation operators in multi-criteria decision-making, IEEE T. Syst. Man Cy., 18 (1988), 183–190. https://doi.org/10.1109/21.87068 doi: 10.1109/21.87068 |
[12] | Z. Xu, R. R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, Int. J. Gen. Syst, 35 (2006), 417–433. https://doi.org/10.1080/03081070600574353 doi: 10.1080/03081070600574353 |
[13] | Z. Xu, Intuitionistic fuzzy aggregation operators, IEEE T. Fuzzy Syst., 15 (2007), 1179–1187. https://doi.org/10.1109/TFUZZ.2006.890678 doi: 10.1109/TFUZZ.2006.890678 |
[14] | H. Zhao, Z. Xu, M. Ni, S. Liu, Generalized aggregation operators for intuitionistic fuzzy sets, Int. J. Intell. Syst., 25 (2010), 1–30. https://doi.org/10.1002/int.20386 doi: 10.1002/int.20386 |
[15] | Y. Xu, H. Wang, The induced generalized aggregation operators for intuitionistic fuzzy sets and their application in group decision making, Appl. Soft Comput., 12 (2012), 1168–1179. https://doi.org/10.1016/j.asoc.2011.11.003 doi: 10.1016/j.asoc.2011.11.003 |
[16] | J. Y. Huang, Intuitionistic fuzzy Hamacher aggregation operators and their application to multiple attribute decision making, J. Intell. Fuzzy Syst., 27 (2014), 505–513. https://doi.org/10.3233/IFS-131019 doi: 10.3233/IFS-131019 |
[17] | R. Verma, Generalized Bonferroni mean operator for fuzzy number intuitionistic fuzzy sets and its application to multiattribute decision making, Int. J. Intell. Syst., 30 (2015), 499–519. https://doi.org/10.1002/int.21705 doi: 10.1002/int.21705 |
[18] | N. Jan, J. Gwak, D. Pamucar, L. Martínez, Hybrid integrated decision-making model for operating system based on complex intuitionistic fuzzy and soft information, Inform. Sciences, 651 (2023), 119592. https://doi.org/10.1016/j.ins.2023.119592 doi: 10.1016/j.ins.2023.119592 |
[19] | W. R. Zhang, Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis, The First International Joint Conference of the North American Fuzzy Information Processing Society Biannual Conference, San Antonio, TX, USA, 1994,305–309. https://doi.org/10.1109/IJCF.1994.375115 |
[20] | W. R. Zhang, L. Zhang, YinYang bipolar logic and bipolar fuzzy logic, Inform. Sciences, 165 (2004), 265–287. https://doi.org/10.1016/j.ins.2003.05.010 doi: 10.1016/j.ins.2003.05.010 |
[21] | W. R. Zhang, A. K. Pandurangi, K. E. Peace, Y. Q. Zhang, Z. Zhao, MentalSquares: a generic bipolar support vector machine for psychiatric disorder classification, diagnostic analysis and neurobiological data mining, Int. J. Data Min. Bioin., 5 (2011), 532–557. https://doi.org/10.1504/ijdmb.2011.043034 |
[22] | W. R. Zhang, J. H. Zhang, Y. Shi, S. S. Chen, Bipolar linear algebra and YinYang-N-element cellular networks for equilibrium-based biosystem simulation and regulation, J. Biol. Syst., 17 (2009), 547–576. https://doi.org/10.1142/S0218339009002958 doi: 10.1142/S0218339009002958 |
[23] | W. R. Zhang, Bipolar quantum logic gates and quantum cellular combinatorics–a logical extension to quantum entanglement, Journal of Quantum Information Science, 3 (2013), 93–105. https://doi.org/10.4236/jqis.2013.32014 doi: 10.4236/jqis.2013.32014 |
[24] | G. Fink, M. Yolles, Collective emotion regulation in an organisation–a plural agency with cognition and affect, J. Organ. Change Manag., 28 (2015), 832–871. https://doi.org/10.1108/JOCM-09-2014-0179 doi: 10.1108/JOCM-09-2014-0179 |
[25] | Z. Gul, Some bipolar fuzzy aggregations operators and their applications in multicriteria group decision making, PhD Thesis, Hazara University, 2015. |
[26] | G. W. Wei, F. E. Alsaadi, H. Tasawar, A. Alsaedi, Hesitant bipolar fuzzy aggregation operators in multiple attribute decision making, J. Intell. Fuzzy Syst., 33 (2017), 1119–1128. https://doi.org/10.3233/JIFS-16612 doi: 10.3233/JIFS-16612 |
[27] | G. Wei, F. E. Alsaadi, T. Hayat, A. Alsaedi, Bipolar fuzzy Hamacher aggregation operators in multiple attribute decision making, Int. J. Fuzzy Syst., 20 (2018). 1–12. https://doi.org/10.1007/s40815-017-0338-6 |
[28] | C. Jana, M. Pal, J. Q. Wang, Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process, J. Ambient Intell. Human. Comput., 10 (2019), 3533–3549. https://doi.org/10.1007/s12652-018-1076-9 doi: 10.1007/s12652-018-1076-9 |
[29] | N. Jan, J. Gwak, D. Pamucar, A robust hybrid decision making model for human-computer interaction in the environment of bipolar complex picture fuzzy soft sets, Inform. Sciences, 645 (2023), 119163. https://doi.org/10.1016/j.ins.2023.119163 doi: 10.1016/j.ins.2023.119163 |
[30] | G. Mani, A. J. Gnanaprakasam, N. Kausar, M. Munir, S. Khan, E. Ozbilge, Solving an integral equation via intuitionistic fuzzy bipolar metric spaces, Decision Making: Applications in Management and Engineering, 6 (2023), 536–556. https://doi.org/10.31181/dmame622023624 doi: 10.31181/dmame622023624 |
[31] | C. Jana, M. Pal, J. Wang, A robust aggregation operator for multi-criteria decision-making method with bipolar fuzzy soft environment, Iran. J. Fuzzy Syst., 16 (2019), 1–16. https://doi.org/10.22111/IJFS.2019.5014 doi: 10.22111/IJFS.2019.5014 |
[32] | V. Brocke, J. Maaß, W. Buxmann, P. Maedche, A. Leimeister, J. M. G. Pecht, Future work and enterprise systems, Bus. Inf. Syst. Eng., 60 (2018), 357–366. https://doi.org/10.1007/s12599-018-0544-2 doi: 10.1007/s12599-018-0544-2 |
[33] | W. Y. C. Wang, S. C. Ho, Information systems dispatching in the global environment, Acer, A case of horizontal integration, J. Cases Inf. Technol., 8 (2006), 45–61. https://doi.org/10.4018/jcit.2006040103 |
[34] | H. Panetto, M. Zdravkovic, R. Jardim-Goncalves, D. Romero, J. Cecil, I. Mezgár, New perspectives for the future interoperable enterprise systems, Comput. Ind., 79 (2016), 47–63. https://doi.org/10.1016/j.compind.2015.08.001 doi: 10.1016/j.compind.2015.08.001 |
[35] | C. Jana, M. Pal, J. Q. Wang, Bipolar fuzzy Dombi aggregation operators and its application in multiple attribute decision-making process, J. Ambient Intell. Human. Comput., 10 (2019), 3533–3549. https://doi.org/10.1007/s12652-018-1076-9 doi: 10.1007/s12652-018-1076-9 |