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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of Natural A Journal of Electronics, Electromedical Engineering, and Medical Informatics Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Matematika Integratif Indonesian Journal of Mathematics and Applications
Mohamad Muslikh
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Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering Transportation Other

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The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm Wijaya, Ongky Denny; Alghofari, Abdul Rouf; Hidayat, Noor; Muslikh, Mohamad
CAUCHY Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi (May 2022) (Issue in Progress)
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.13351

Abstract

Zadeh have introduced fuzzy set in 1965 and Atanassov have introduced intuitionistic fuzzy set in 1986 in theirs paper. Now, many of researcher connecting intuitionistic fuzzy set with algebraic structure. We interested to combine some concepts over intuitionistic fuzzy set, module of a ring, t-norm, t-conorm, and intuitionistic anti fuzzy. In this paper, we discusses about intuitionistic anti fuzzy module t-norm and t-conorm (IAFMTC) and their properties with respect to module homomorphism, maps, pre-image, and anti-image from intuitionistic fuzzy sets. We have investigate all properties of IAFMTC.
Solusi Regularitas Persamaan Diferensial Parsial Eliptik Linier Orde Dua Sa'adatul Fitri; Mohamad Muslikh; Abdul Rouf Alghofari
Journal of Natural A Vol 1, No 1 (2013)
Publisher : Fakultas MIPA Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Dalam paper ini akan dipelajari solusi regularitas dari persamaan diferensial parsial eliptik linier orde dua. Pertama akan ditunjukkan keeksisan dan ketunggalan solusi lemah dari model di ruang Hilbert. Selanjutnya akan dibangun persamaan homogen yang terkait untuk mempelajari sifat ketaksamaan Harnack dan estimasi De Giorgi-Nash-Moser. Terakhir, dengan menggunakan sifat tersebut dan karakterisasi Campanato akan ditunjukkan solusi regularitas dari model.
EKSISTENSI SELEKTOR TERUKUR PADA FUNGSI BERNILAI HIMPUNAN DI DALAM RUANG BANACH TAK SEPARABEL Mohamad Muslikh
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2941

Abstract

In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the set-valued functions exist if the value of set-valued function is a subset of a separable Banach spaces. In this article show that the set-valued function has a measurable selector in non separable Banach spaces.
Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type Mohamad Muslikh; Khoirunisa, Khoirunisa; Karim, Corina; Muslikh, M.
CAUCHY Vol 7, No 1 (2021): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i1.13105

Abstract

In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
EKSISTENSI SELEKTOR TERUKUR PADA FUNGSI BERNILAI HIMPUNAN DI DALAM RUANG BANACH TAK SEPARABEL Mohamad Muslikh
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2941

Abstract

In the Kuratowski-Ryll Nardzewski theorem, measurable selector of the set-valued functions exist if the value of set-valued function is a subset of a separable Banach spaces. In this article show that the set-valued function has a measurable selector in non separable Banach spaces.
Discrete Dynamical System generated by set-valued function in metric spaces Muslikh, Mohamad; Fitri, Sa'adatul
Jurnal Matematika Integratif Vol 20, No 2: Oktober 2024
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v20.n2.57524.209-216

Abstract

The main purpose of this article is to study the behavior of the solutionsof discrete dynamical systems generated by set-valued mapping. Moreprecisely, we study the existence of convergence iterations in the presence of computational errors for set-valued mapping. Then a necessarycondition shows the existence and uniqueness of a fixed point for theset-valued maps.
Heart Disease Classification Using Random Forest and Fox Algorithm as Hyperparameter Tuning Masbakhah, Afidatul; Sa'adah, Umu; Muslikh, Mohamad
Journal of Electronics, Electromedical Engineering, and Medical Informatics Vol 7 No 4 (2025): October
Publisher : Department of Electromedical Engineering, POLTEKKES KEMENKES SURABAYA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35882/jeeemi.v7i4.932

Abstract

Heart disease remains the leading cause of death worldwide, making early and accurate diagnosis crucial for reducing mortality and improving patient outcomes. Traditional diagnostic approaches often suffer from subjectivity, delay, and high costs. Therefore, an effective and automated classification system is necessary to assist medical professionals in making more accurate and timely decisions. This study aims to develop a heart disease classification model using Random Forest, optimized through the FOX algorithm for hyperparameter tuning, to improve predictive performance and reliability. The main contribution of this research lies in the integration of the FOX metaheuristic optimization algorithm with the RF classifier. FOX, inspired by fox hunting behavior, balances exploration and exploitation in searching for the optimal hyperparameters. The proposed RF-FOX model is evaluated on the UCI Heart Disease dataset consisting of 303 instances and 13 features. Several preprocessing steps were conducted, including label encoding, outlier removal, missing value imputation, normalization, and class balancing using SMOTE-NC. FOX was used to optimize six RF hyperparameters across a defined search space. The experimental results demonstrate that the RF-FOX model achieved superior performance compared to standard RF and other hybrid optimization methods. With a training accuracy of 100% and testing accuracy of 97.83%, the model also attained precision (97.83%), recall (97.88%), and F1-score (97.89%). It significantly outperformed RF-GS, RF-RS, RF-PSO, RF-BA, and RF-FA models in all evaluation metrics. In conclusion, the RF-FOX model proves highly effective for heart disease classification, providing enhanced accuracy, reduced misclassification, and clinical applicability. This approach not only optimizes classifier performance but also supports medical decision-making with interpretable and reliable outcomes. Future work may involve validating the model on more diverse datasets to further ensure its generalizability and robustness.
p-Pompeiu-Hausdorff Metric on Space of Subsets Induced by Partial Metric Ekayanti, Arta; Marjono; Muslikh, Mohamad; Fitri, Sa’adatul
Indonesian Journal of Mathematics and Applications Vol. 3 No. 2 (2025): Indonesian Journal of Mathematics and Applications (IJMA)
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2025.003.02.2

Abstract

In this paper, we give some properties of the p-Pompeiu-Hausdorff metric on the space of subsets induced by a partial metric. These results provide a generalization of Barich’s (2011) results in the setting of partial metric. The properties provided in this study complement those presented by Aydi et al (2012).
Jensen m-Convexity on Set-Valued Function Pramana, Eko Dedi; Wibowo, Ratno Bagus Edy; Muslikh, Mohamad
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 2 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i2.26901

Abstract

This paper discusses the class of Jensen m-convex functions and their properties, leading to enhancements of these functions and Jensen's inequalities for set-valued functions. It provides several characterizations and explores various algebraic properties. Additionally, it introduces a discrete Jensen-type inclusion.
Hybrid Methods Random Forest and FOX-Inspired Optimization Algorithm for Selecting Features in Cervical Cancer Data Masbakhah, Afidatul; Sa'adah, Umu; Muslikh, Mohamad
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 2 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i2.29582

Abstract

Cervical cancer is one of the number four causes of death among women worldwide, with about 604,000 new cases and 324,000 deaths each year. Human Papillomavirus infection is one of the main factors in almost 99% of cervical cancer cases. In addition to HPV, other risk factors such as smoking, long-term use of oral contraceptives, and weak immunity also play an important role. Along with the development of technology and in an effort to detect cervical cancer early, machine learning algorithms have been widely used to analyze the risk of cervical cancer, one of which is Random Forest (RF). One of the main challenges in early detection of cervical cancer is the large amount of irrelevant and redundant data, which can reduce the accuracy of predictions, making feature selection imperative. SI is able to combine new algorithms to improve performance in feature selection. One of the SI-based optimization algorithms is the FOX-Inspired Optimization Algorithm. The results of research that has been carried out using the RF-FOX hybrid method, the Num of pregnancies feature has proven to be the most influential factor in detecting the risk of cervical cancer in patients. In addition, other features such as First sexual intercourse, Number of sexual partners, age, and Hormonal Contraceptives also occupy the top five most influential features. Therefore, the hybrid RF-FOX method allows the performance of the model to be more optimized, thus helping in the identification of patients at risk of cervical cancer more precisely.
Co-Authors Abdul Rouf Alghofari Arta Ekayanti, Arta Fitri, Sa'adatul Fitri, Sa’adatul Karim, Corina Khoirunisa, Khoirunisa M. Muslikh Marjono Masbakhah, Afidatul Noor Hidayat, Noor Pramana, Eko Dedi Ratno Bagus Edy Wibowo Sa'adatul Fitri Sa'adah, Umu Wijaya, Ongky Denny