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Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Encryption and enhance medical image using hybrid transform (Ã-module and partial fuzzy Ȟ-transform)

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pp. 1903–1910Vol. 26Issue 7October 2023DOI: 10.47974/JDMSC-1683 Crossmark XML
Received:
05 Oct 2022
Published Online:
30 Oct 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1683
Pages:
1903–1910

Abstract

This research provides a novel application for fuzzy partial differential equations in the biomedical and engineering sectors. To create this program, we multiplied the Ã-module by the fuzzy partial F-transform, which yielded a new transform that was then used as a filter in image processing. Around 6 percent of all cancer cases in adults are caused by people under 20, and most cancers begin as acute interstitial pneumonia. In recent years, many oncologists have used mathematical models to draw conclusions and make forecasts. This is by experimental biological models. Based on the newly proposed rational valued cyclic group characters and partial fuzzy transformation, this study proposes a novel method for image processing of diseased cells, which involves solving such concepts as encoding and differentiating parameters, optimizing radiographic images, and converting the idea into a filter. Radiographic image optimization and parameter differentiation were also part of the study. It was shown that the suggested transformation provided much higher levels of intelligibility than the fuzzy partial Laplace transform analysis and categorization of how a patient’s illness trajectory affects their responsiveness to treatment.

Keywords

Subject Classifications

68P2568P01

References

[1] G. David, “Artin Exponent of Arbitrary Characters of Cyclic Subgroups”, Journal of Algebra, 61, pp. 58-76 (1976). 
[2] K. Yamauchi, “On The 2 - Parts Artin’s Exponent of Finite Groups”, Sci.Kep. Tokyo, DaigakenseetAlo, 234-240  (1970). 
[3] J. P. Serre, “Linear Representation of Finite Groups”, Springer- Verlage (1977).
[4] Chang S.S.L., Zadeh L.A., “On fuzzy mapping and control” IEEE Trans Syst. Man Cybern SMC (2), pp. 30-34 (1972).
[5] M. S. Kirdar, “The Factor Group of The Z-Valued Class Function Modulo the Group of The Generalized Characters” Ph. D. Thesis, University of Birmingham (1975). 
[6] T.Y.Lam, “Artin Exponent of Finite Groups”, Columbia University, New York (1967). 
[7] Kadham, S.M., Alkiffai, A.N. : Model Tumor Response to Cancer TreatmentUsing Fuzzy Partial SH-Transform: An Analytic Study. International Journal of Mathematics and Computer Science, 18, no. 1, 23–28 (2022).
[8] P_erez-Garc__a, V.M., Le_on-Triana, O., Rosa, M., P_erez-Mart__nez, A.: Car t cells for t-cell leukemias: Insights from mathematical models. Communications in Nonlinear Science and Numerical Simulation (2021).
[9] Preziosi, L. (ed.): Cancer Modelling and Simulation (Chapman & Hall/CRC Mathematical and Computational Biology). CRC Press (2003). DOI 10.1201/9780203494899.
[10] J. Albayda, I. Pinal-Fernandez, W. Huang, et al., Antinuclear matrix protein 2 autoantibodies and edema, muscle disease, and malignancy risk in dermatomyositis patients, Arthritis Care Res. 69,  1771–1776 (2017).
[11] M. Marzęcka, A. Niemczyk, L. Rudnicka, Autoantibody markers of increased risk of malignancy in patients with dermatomyositis, Clin. Rev. Allergy Immunol (2022 Feb 11). https://doi.org/10.1007/s12016-022-08922-4 (Online ahead of print).
[12] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611.

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