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All Journal Teknosains: Media Informasi Sains dan Teknologi Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) Jurnal Matematika UNAND Papanda Journal of Mathematics and Sciences Research Limits: Journal of Mathematics and Its Applications
Wahyuni Abidin
Universitas Islam Negeri Alauddin Makassar
Agriculture, Biological Sciences & Forestry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Mathematics Medicine & Pharmacology Physics

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Model Regresi Nonparametrik dengan Pendekatan Deret Fourier Pada Kasus Tingkat Kemiskinan di Sulawesi Selatan lili putri inasari; Muh. Irwan; Wahyuni Abidin; Wahidah Alwi
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 12 No 2 (2024): VOLUME 12 NO 2 TAHUN 2024
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v12i2.51107

Abstract

This research discusses nonparametric Fourier series regression on poverty levels in South Sulawesi. The nonparametric regression approach is used when the curve pattern is not known or detailed information about the shape of the regression function. The Fourier series is a curve that shows the sine and cosine functions. The advantage of nonparametric Fourier series regression is that it can explain repeated data patterns. This research uses the GCV method to determine optimal K. The aim of this research is to obtain the best non-parametric regression model using a Fourier series approach to the factors that influence the level of poverty in South Sulawesi. The results of this research show that the best model is with an oscillation point K=3, which has a GCV value of 5.37, MSE of 2.38 and R2 of 68.9% and there is one parameter of the independent variable that has a significant effect on the number of poor people. namely the Human Development Index variable.
Pohon dengan bilangan kromatik-lokasi dan dimensi partisi mendominasi sama dengan tiga Muhammad Ridwan; Abidin, Wahyuni
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 13 No 2 (2025): VOLUME 13 NO 2, 2025
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v13i2.65808

Abstract

Several graph parameters are defined through vertex partitions and distance representations. Two such parameters are the locating-chromatic number $\chi_L(G)$ and the dominating partition dimension $\eta_p(G)$. The locating-chromatic number requires that vertices are distinguished by their distances to color classes, while the dominating partition dimension additionally imposes a domination condition, namely that every vertex must be adjacent to at least one partition class. It is known that for every connected graph $G$, $\beta_p(G)\le \eta_p(G)\le \chi_L(G)$, where $\beta_p(G)$ denotes the partition dimension. However, the conditions under which equality holds are not yet fully understood. In this paper, we focus on trees $T$ and show that the equality $\chi_L(T)=\eta_p(T)$ occurs exactly at value three. More precisely, we prove that a tree $T$ satisfies $\chi_L(T)=3$ if and only if $\eta_p(T)=3$. The proof is structural and is based on an analysis of leaf configurations and strong support vertices. In particular, we establish that the presence of two distinct strong support vertices forces $\eta_p(T)\ge 4$, preventing equality at value three. As a consequence, the class of trees with locating-chromatic number three coincides exactly with the class of trees whose dominating partition dimension equals three.
Model penentuan biaya long-term care dengan menggunakan anuitas joint life Nurul Anisha Dahlan; Sri Dewi Anugrawati; Wahyuni Abidin
Papanda Journal of Mathematics and Science Research Vol. 5 No. 1 (2026): Volume 5 Nomor 1 Maret 2026
Publisher : Papanda Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56916/pjmsr.v5i1.2925

Abstract

The increasing life expectancy in Indonesia has led to a growing elderly population, thereby intensifying the demand for financial protection against Long-Term Care (LTC) risks. This study aims to calculate the Actuarial Present Value (APV) of Long-Term Care (LTC) benefits for married couples using an actuarial model based on a multistate Markov framework. The model incorporates 15 possible health status transitions between the couple, covering combinations of healthy, ill, and deceased states without distinguishing between husband and wife. Transition probabilities are derived from the Indonesian Mortality Table IV (TMI IV) and the National Morbidity Table. These probabilities are then used to estimate the present value of LTC costs under assumptions of basic benefits, increased benefits when one or both spouses are ill, and a fixed interest rate of 6%. Simulation results show that the total present value of LTC benefits over a 20-year contract period amounts to IDR 96,537,664.69. This model demonstrates both flexibility and accuracy in estimating future care needs and the benefits received. The findings provide valuable insight for the design of spouse-based life insurance products in Indonesia
Bilangan Pembeda Tanpa Titik Terisolasi Graf W_n⊙K_1dan F_n⊙K_1 Abidin, Wahyuni; Hasibuan, Ismail Mulia; Nurman, Try Azisah; Ridwan, Muhammad
Limits: Journal of Mathematics and Its Applications Vol. 23 No. 1 (2026): Limits: Journal of Mathematics and Its Applications Volume 23 Nomor 1 Edisi Ap
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v23i1.7683

Abstract

Let  be a graph and  be an ordered subset of the vertex set og graph  The representation of a vertex  in  with respect to is defined as , where  is the distance between vertex  and  for all $ The set  is called a resolving set of  if the representation of every vertex in  is distinct. A resolving set with the minimum cardinality is called a basis of  and the cardinality of a basis of  is the metric dimension of the graph . A vertex in  is called an isolated vertex if there are no edges incident to . A resolving set  is called a non-isolated resolving set if the subgraph induced by does not contain isolated vertices. A non-isolated resolving set with the minimum cardinality is called an -basis of , and the number of its members is called the non-isolated resolving number of , nonated by . In this paper, we discuss non-isolated resolving numbers of a graph obtained from the corona product of two graphs. The corona product of graph  and graph , denoted by , is a graph obtained by taking one copy of  and as many copies of  as there are vertices in , then connecting every vertex from the -th copy of  to the -th vertex in . The results show that if  is a wheel graph or a fan graph, then the non-isolated resolving number of the corona product  depends on the number of vertices in the graph
Co-Authors Adnan Sauddin Anugrawati, Sri Dewi arif Hilda Nurfaidah Ismail Mulia Hasibuan lili putri inasari Masni Masni Masni Muh. Irwan Muhammad Ridwan Muhammad Ridwan Nurbaiti Nurfalaq Nurul Anisha Dahlan Ratnasari Siti Nurhalisa Jumaedi SUMARNI Sumarni, Kiki Try Azisah Nurman Ummi Qalsum Wahdaniyah Wahdaniyah, Wahdaniyah Wahidah Alwi Wahidah Alwi