TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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

Fuzzy SHmath.Mbio-transform generalization and application to skin cancer imaging (distributed diseases)

* ,

* Corresponding author · click or hover a name for details

pp. 1031–1042Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1603XML
Published Online:
08 Sep 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1603
Pages:
1031–1042

Abstract

Fuzzy integral transformations are an important methodology for solving the relevant fuzzy boundary (initial) value issues that arise from solving fuzzy differential and integral equations. In this study, the way we classify the-for the corresponding-order fuzzy derivative, fuzzy Shmath.mbio.M-transform. Studies of this process are conducted on the assumption of substantial generalized Hukuhara differentiability. When comparing the suggested transform to another transform, the fuzzy Laplace transform, the effectiveness of the proposed transform in extracting melanoma edges was shown to be much higher. The accuracy and efficiency of the proposed transformation may be enhanced even more. statistical parameters were used to corroborate the findings.

Keywords

Subject Classifications

03Cxx03-XX03Exx

Acknowledgements

FRH-P899H56

References

[1] Bede B, Gal SG,Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Set Syst, 151 : 581-599 (2005).
[2] Haydar A. K., Hassan R. H., Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order n-1 < b < n, Hindawi Publishing Corporation Mathematical Problems in Engineering (2016).
[3] Chalco-Cano Y, Roman-Flores H, On new solutions of fuzzy differential equations. Chaos Solitons Fractals, 38 : 112-119 (2006).
[4] Friedman M., M. Ming, A. Kandel Numerical solution of fuzzy differential and integral equations. Fuzzy Set Syst, (1999).
[5] Wu H.-C., The improper fuzzy Riemann integral and its numerical integration, Inform. Sci., 111(1998).
[6] Mohammad Ali H.F., A method for solving-th order fuzzy linear differential equations by using Laplace transforms, Msc. theses University of Kufa, College of Education for Girls, Department of Mathematics (2013). 
[7] Kadham SH.M, M. A. Mustafa., IoT and Artificial Intelligence Based Fuzzy-Integral N-Transform for Sustainable Groundwater Management, accepts paper of Applied Geomatics.
[8] Kadham, S.M., Alkiffai, A. N. Generalization of Fuzzy SHA-Transform with Medical Application. Mathematical Modeling of Engineering Problems. Vol. 9, 4 (2022).
[9] Kadham, S.M., Alkiffai, A.N. Model Tumor Response to Cancer Treatment Using Fuzzy Partial SH-Transform: An Analytic Study. International Journal of Mathematics and Computer Science, 18(2022), 1, 23-28 (2022). 
[10] Puri ML, D Ralescu Differential for fuzzy function. Journal of Mathematical Analysis and Applications. 91(2), 552-558 (1983). https://doi.org/10.1016/0022-247X(83)90169-5
[11] Preziosi, L. (ed.): Cancer Modelling and Simulation (Chapman & Hall/CRC Mathematical and Computational Biology). CRC Press (2003). https://doi.org/10.1201/9780203494899
[12]  J. Albayda, I. Pinal-Fernandez, W. Huang, et. al., Anti-nuclear matrix protein 2 autoantibodies and edema, muscle disease, and malignancy risk in dermatomyositis patients, Arthritis Care Res. 69, 1771–1776 (2017).
[13] M. Marzęcka, A. Niemczyk, L. Rudnicka, Autoantibody markers of increased risk of malignancy in patients with dermatomyositis, Clin. Rev. Allergy Immunol (2022). https://doi.org/10.1007/s12016-022-08922-4 
[14] I. Rosyida, T.S.N. Asih, S.B. Waluya Sugiyanto. Fuzzy shortest path approach for determining public bus route (Case study : Route planning for Trans Bantul bus in Yogyakarta, Indonesia). Journal of Discrete Mathematical Sciences and Cryptography. 24(2), 557-577 (2021). https://doi.org/10.1080/09720529.2021.1891692.
[15] D.E. Abdulrasool, A.N. Alkiffai. Investigation of A Fuzzy Integral Equation by Fuzzy Integral Transforms. Mathematical Statistician and Engineering Applications, 71(3s3), 73-80 (2022). https://www.philstat.org.ph/index.php/MSEA/article/view/349
[16] R.F. Kadam, K.M. Mohammed Al-Abrahemee. Neuro-fuzzy system for solving fuzzy singular perturbation problems. Journal of Interdisciplinary Mathematics. 25(5), 1509-1524 (2022). https://doi.org/10.1080/09720502.2022.2079229
[17] D.E. Abdulrasool, A.N. Alkiffai. Population growth equation by fuzzy common integral transforms. Journal of Interdisciplinary Mathematics. 25(6), 1909-1918 (2022). https://doi.org/10.1080/09720502.2022.2095960
[18] M.R. Farahani, S. Jafari, S.A.Mohiuddine, M. Cancan.Intuitionistic Fuzzy Stability of Generalized Additive Set-Valued Functional Equation via Fixed Point Method. Mathematical Statistician and Engineering Applications, 71(3s3), 142-154 (2022). https://www.philstat.org.ph/index.php/MSEA/article/view/355
[19] S.M. Seyed Joula, A.R. Gilani, E. Arfa, Exact BCK-sequence in BCK-algebra, Journal of Information and Optimization Sciences, 41(4), 1153-1162 (2020). https://doi.org/10.1080/02522667.2020.1776940
[20] S.M. Seyed Joula, A.R. Gilani, E. Arfa, Fuzzy BCK-module on t-norm, Journal of Information and Optimization Sciences, 41(4), 1163-1174 (2020). https://doi.org/10.1080/02522667.2020.1781390
[21] A. Alsinai, H.M.U. Rehman, Y. Manzoor, M. Cancan, Z. Taş, M.R. Farahani, Sharp upper bounds on forgotten and SK indices of cactus graph, Journal of Discrete Mathematical Sciences and Cryptography,  1-22 (2022). https://doi.org/10.1080/09720529.2022.2027605
[22] A. Alsinai, B. Basavanagoud, M. Sayyed, M.R. Farahani, Sombor index of some nanostructures, Journal of Prime Research in Mathematics, 17(2), 123-133 (2021).
[23] A. Hasan, M.H.A. Qasmi, A. Alsinai, M.Alaeiyan, M. R. Farahani, M.Cancan, Distance and Degree Based Topological Polynomial and Indices of X-Level Wheel Graph. Journal of Prime Research in Mathematics, 17(2), 39-50 (2021).

Views: 297Downloads: 119Citations: 0