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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Indonesian Journal of Mathematics and Applications
Fitri, Sa’adatul
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Computer Science & IT Education Mathematics Other

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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).
Actuarial Modelling For Diabetes Mellitus Insurance Amrullah, Fauzan Rafi; Kurniawaty, Mila; Fitri, Sa’adatul
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): 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/cauchy.v10i1.29880

Abstract

Diabetes mellitus is a hereditary disease with an increasing number of cases globally and has become one of the leading causes of death from critical illness in Indonesia. Several researchers have highlighted that genetic and social factors play a significant role in the development of diabetes mellitus. Consequently, financial planning and health insurance are essential. Diabetes health insurance is particularly beneficial for individuals with a family history of diabetes mellitus and individuals with unhealthy lifestyles who may become the first carriers to develop the disease. Some researchers have introduced actuarial models for calculating health insurance premiums and reserves, based on compartmental models used in the study of epidemics and pandemics. In this article, we aim to expand on previous research by applying actuarial models to diabetes mellitus  model, while incorporating genetic and social factors. We hope that this article can serve as a reference for the public in financial planning, such as participating in insurance programs, to maintain financial stability.
Co-Authors Amrullah, Fauzan Rafi Arta Ekayanti, Arta Marjono Mila Kurniawaty Mohamad Muslikh