Abstract
In modern nations, people are more conscious of their health. As a result, one of the most active research fields has been improving medical field applications. According to medical data, Myocardial Infarction (MI) is the leading cause of illness and mortality worldwide. The diagnosis of MI involves a lot of uncertain values and imprecise information. Linear Diophantine Fuzzy Set (LDFS) removes the restrictions of existing prevailed concepts such as Intuitionistic Fuzzy Set (IFS), Pythagorean Fuzzy Set (PFS), and q-Rung Orthopair Fuzzy Set (q-ROFS). In this manuscript, we impart the idea of Linear Diophantine Multi-Fuzzy Soft Set (LDMFSS) and inspect some depict rudimentary properties. An order between parameters is established and the innovative theory of Lattice ordered Linear Diophantine Multi-Fuzzy Soft Set (LLDMFSS) is launched. The algorithmic approach is instigated by introducing Root Mean Square Sum (RMSS) soft set for diagnosing the risk level of patients, since Heart disease diagnosis continues to be a significant challenge for medical professionals with less experience. Here, our suggested theory is designed to address such a problem by considering the people who are most impacted by MI. In order to prioritize the parameters based on our demands, LLDMFSS is best appropriate for particular types of difficulties. The main goal is to introduce the idea of LLDMFSS and the use of LLDMFSS to predict MI. Its superiority is demonstrated with a comparison of our proposed work to current fuzzy sets.
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References
Zhou, L., Liu, Y., Sun, H., Li, H., Zhang, Z., Hao, P.: Usefulness of enzymefree and enzyme-resistant detection of complement component 5 to evaluate acute myocardial infarction. Sens. Actuators B 369, 132315 (2022). https://doi.org/10.1016/j.snb.2022.132315
Al-Zuhairi, I., Al-Qudah, Y., Chammam, W., Khalaf, M., El moasry, A., Qaqazeh, H., Almousa, M.: Fuzzy parameterized complex multi-fuzzy soft expert set in prediction of coronary artery disease. J. Progressive Res. Math. 16(4), 3133–3157 (2020)
Hassan, N., Sayed, O.R., Khalil, A.M., et al.: Fuzzy soft expert system in prediction of coronary artery disease. Int. J. Fuzzy Syst. 19, 1546–1559 (2017)
Mokeddem, S.A.: A fuzzy classification model for myocardial infarction risk assessment. Appl. Intell. 48, 1233–1250 (2018)
Djatna, T., Hardhienata, M.K.D., Masruriyah, A.F.N.: An intuitionistic fuzzy diagnosis analytics for stroke disease. J. Big Data 5, 1–14 (2018)
Naeem, K., Riaz, M., Karaaslan, F.: A mathematical approach to medical diagnosis via Pythagorean fuzzy soft TOPSIS, VIKOR and generalized aggregation operators. Complex Intell. Syst. 7, 2783–2795 (2021)
Zadeh, L.A.: Fuzzy sets. Inf. Controls 8, 338–353 (1965)
Molodtsov, D.: Soft set theory. Comput. Math. Appl. 37, 19–31 (1999)
Atanassov, K.T.: Intuitionistic Fuzzy sets. Fuzzy set system 20(1), 87–96 (1986)
Yager, R.R.: Pythagorean membership grades in multicriteria decision making. IEEE Trans. Fuzzy Syst. 22(4), 958–965 (2014)
Yager, R.R.: Generalized orthopair fuzzy sets. IEEE Trans. Fuzzy Syst. 25(5), 1222–1230 (2017)
Riaz, M., Hashmi, M.R.: Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems. J. Intell. Fuzzy Syst. 37, 5417–5439 (2019)
Iampan, A., Garcia, G.S., Riaz, M., Athar Farid, H.M., Chinram, R.: Linear diophantine fuzzy einstein aggregation operators for multi-criteria decision-making problems. J. Math. 1–31 (2021)
Ayub, S., Shabir, M., Riaz, M., Aslam, M., Chinram, R.: Linear Diophantine fuzzy relations and their algebraic properties with decision making. Symmetry 13(6), 945 (2021)
Riaz, M., Hashmi, M.R., Kalsoom, H., Pamucar, D., Chu, M.: Linear Diophantine fuzzy soft rough sets for the selection of sustainable material handling equipment. Symmetry 12, 1215 (2020)
Hashmi, M.R., Tehrim, S.T., Riaz, M., Pamucar, D., Cirovic, G.: Spherical linear Diophantine fuzzy soft rough sets with multi-criteria decision making. Axioms 10, 185 (2021)
Parimala, M., Jafari, S., Riaz, M., Aslam, M.: Applying the Dijkstra Algorithm to solve a linear Diophantine fuzzy environment. Symmetry 13(9), 1616 (2021)
Prakash, K., Parimala, M., Garg, H., Riaz, M.: Lifetime prolongation of a wireless charging sensor network using a mobile robot via linear Diophantine fuzzy graph environment. Complex Intell. Syst. 8, 2419–2434 (2022)
Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9(3), 589–602 (2001)
Zhan, J., Alcantud, J.C.: A novel type of soft rough covering and its application to multicriteria group decision making. Artif. Intell. Rev. 52, 2381–2410 (2019)
Zhang, L., Zhan, J.: Fuzzy soft β-covering based fuzzy rough sets and corresponding decision-making applications. Int. J. Mach. Learn. Cybern. 10, 1487–1502 (2019)
Maji, P.K., Biswas, R., Roy, A.R.: Intuitionistic fuzzy soft sets. J. Fuzzy Math. 9, 677–692 (2001)
Hayat, K., Ali, M.I., Alcantud, J.C.R.: Best concept selection in design process: an application of generalized intuitionistic fuzzy soft sets. J. Intel. Fuzzy Syst. 35, 5707–5720 (2018)
Deli, I., Cagman, N.: Intuitionistic fuzzy soft set theory and its decision making. Appl. Soft Comput. 28, 109–113 (2013)
Peng, X.A., Yang, Y., Song, J.: Pythagoren fuzzy soft set and its application. Comput. Eng. 41, 224–229 (2015)
Hussain, A., Ali, M.I., Mahmood, T., Munir, M.: q-Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision-making. Int. J. Intell. Syst. 35(4), 571–599 (2020)
Parmaksiz, Z., Arslan, B., Memis, S., Enginoglu, S.: Diagnosing COVID-19 prioritizing treatment, and planning vaccination priority via fuzzy parameterized fuzzy soft matrices. J. New Theory 39, 54–83 (2022)
Memis, S., Enginoglu, S., Erkan, U.: A new classification method using soft decision-making based on an aggregation operator of fuzzy parameterized fuzzy soft matrices. Turk. J. Electr. Eng. Comput. Sci. 3(3), 871–890 (2022)
Garg, H., Vimala, J., Rajareega, S., Preethi, D., Dominguez, L.P.: Complex intuitionistic fuzzy soft SWARA—COPRAS approach: an application of ERP software selection. AIMS Math. 7(4), 5895–5909 (2022)
Dey, A., Senapati, T., Pal, M., Chen, G.: A novel approach to hesitant multifuzzy soft set based decision-making. AIMS Math. 5(3), 1985–2008 (2020)
Ali, M.I., Mehmood, T., Rehman, M.M.U., Aslam, M.F.: On lattice ordered soft set. Appl. Soft Comput. 36, 499–505 (2015)
Sebastian, S.: Multi-fuzzy sets. Int. Math. Forum 5, 2471–2476 (2010)
Yang, Y., Tan, X., Meng, C.: The multi-fuzzy soft set and its application in decision making. Appl. Math. Model. 37, 4915–4923 (2013)
Begam, S.S., Vimala, J.: Application of lattice ordered multi-fuzzy soft set in forecasting process. J. Intell. Fuzzy Syst. 36, 2323–2331 (2019)
Begam, S.S., Vimala, J., Preethi, D.: A novel study on the algebraic applications of special class of lattice ordered multi-fuzzy soft sets. J. Discret. Math. Sci. Cryptogr. 22, 883–899 (2019)
Das, S., Kar, M.B., Kar, S.: Group multi-criteria decision making using intuitionistic multi-fuzzy sets. J. Uncertainty Anal. Appl. 1, 10 (2013)
Peng, X., Yang, Y.: Some results for Pythagorean fuzzy sets. Int. J. Intell. Syst. 30, 1133–1160 (2015)
Das, S., Kar, S.: Intuitionistic multi fuzzy soft set and its application in decision making. In: Maji, P., Ghosh, A., Murty, M.N., Ghosh, K., Pal, S.K. (eds.) Pattern Recognition and Machine Intelligence. PReMI 2013. Lecture Notes in Computer Science, vol. 8251, pp. 587–592. Springer, Berlin (2013)
Mahmood, T., Ali, M.I., Malik, M.A., Ahmed, W.: On lattice ordered intuitionistic fuzzy soft sets. Int. J. Algebra Stat. 7, 46–61 (2018)
Liu, H., Liu, M., Li, D., Zheng, W., Yin, L., Wang, R.: Recent advances in pulse-coupled neural networks with applications in image processing. Electronics 11(20), 3264 (2022). https://doi.org/10.3390/electronics11203264
Ban, Y., Wang, Y., Liu, S., Yang, B., Liu, M., Yin, L., Zheng, W.: 2D/3D multimode medical image alignment based on spatial histograms. Appl. Sci. 12(16), 8261 (2022). https://doi.org/10.3390/app12168261
Wang, Y., Zhai, W., Zhang, H., Cheng, S., Li, J.: Injectable polyzwitterionic lubricant for complete prevention of cardiac adhesion. Macromol. Biosci. 23, 2200554 (2023). https://doi.org/10.1002/mabi.202200554
Lv, Z., Yu, Z., Xie, S., Alamri, A.: Deep learning-based smart predictive evaluation for interactive multimedia-enabled smart healthcare. ACM Trans. Multimed. 18(1), 1–20 (2022). https://doi.org/10.1145/3468506
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Vimala, J., Garg, H. & Jeevitha, K. Prognostication of Myocardial Infarction Using Lattice Ordered Linear Diophantine Multi-fuzzy Soft Set. Int. J. Fuzzy Syst. 26, 44–59 (2024). https://doi.org/10.1007/s40815-023-01574-2
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DOI: https://doi.org/10.1007/s40815-023-01574-2