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All Journal Journal of Natural Sciences and Mathematics Research UNEJ e-Proceeding Jurnal Matematika Sains dan Teknologi Teorema: Teori dan Riset Matematika M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika PRISMATIKA: Jurnal Pendidikan dan Riset Matematika Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Joong-Ki Joong-Ki International Journal of Mathematics, Statistics, and Computing
Suroto Suroto
Departement Of Mathematics, Universitas Jenderal Soedirman
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Education Environmental Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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TERMINOLOGI DASAR PADA HIMPUNAN SIMETRISASI ALJABAR MIN-PLUS Suroto; Ari Wardayani; Chumaedi Sugihandardji
Jurnal Matematika Sains dan Teknologi Vol. 23 No. 2 (2022)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v23i2.3033.2023

Abstract

This paper discusses some of the terminology and basic properties of the set of min-plus algebra symmetrization. The results are algebraic structure of the positive or zero part of the set of min-plus algebra symmetrization is a semi-field, and the min-plus algebra can be viewed as the positive or zero part in the context of the set of min-plus algebra symmetrization. Furthermore, the form of the result of the subtraction of the elements in the set of min-plus algebra symmetrization, the multiplicative inverse of element in the non zero-positive and negative part, and some basic properties of balance as an analogy to the similarity of linear algebra are also obtained.
APLIKASI DEKOMPOSISI RANK PADA PEMBENTUKAN INVERS MOORE-PENROSE MATRIKS ATAS ALJABAR MAX-PLUS TERSIMETRI Suroto Suroto; Najmah Istikaanah; Sri Maryani
Teorema: Teori dan Riset Matematika Vol 8, No 1 (2023): Maret
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v8i1.8029

Abstract

Pada makalah ini dibahas tentang penggunaan dekomposisi rank untuk mengonstruksi invers Moore-Penrose pada matriks atas aljabar max-plus tersimetri. Penentuan eksistensi dekomposisi rank dilakukan dengan memanfaatkan suatu fungsi yang mengkorespondensikan aljabar max-plus tersimetri dengan aljabar konvensional. Selanjutnya, dengan memanfaatkan eksistensi invers setimbang, hasil dekomposisi rank ini digunakan untuk mengonstruksi bentuk invers Moore-Penrose dari matriks. Hasil yang diperoleh adalah bentuk invers Moore-Penrose dari suatu matriks atas aljabar max-plus tersimetri berdasarkan dekomposisi rank. Hasil ini berpotensi dapat dimanfaatkan untuk menentukan solusi dari sistem kesetimbangan linier atas aljabar max-plus tersimetri.
MASALAH NILAI EIGEN ATAS ALJABAR MAX-PLUS PADA SISTEM PRODUKSI BULU MATA Nadya Novika; Suroto Suroto; Bambang Hendriya Guswanto
Prismatika: Jurnal Pendidikan dan Riset Matematika Vol 6 No 1 (2023): Prismatika: Jurnal Pendidikan dan Riset Matematika
Publisher : IKIP Budi Utomo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33503/prismatika.v6i1.3348

Abstract

A discrete event system is a system whose behavior is determined by events and their events change at discrete times. The eyelash production system at PT Bio Takara Purwokerto is a discrete event system problem and can be expresses in a max-plus linear problem. By using the power algorithm, it is determined eigen values ​​and eigen vectors over max-plus algebra which will be used as production time periodization. The results obtained that the periodic time for the eyelash production system at PT Bio Takara Purwokerto is 78.488 minutes. Based on this periodic time, we can then obtain the time each processing unit starts working to produce eyelashes.
Pelatihan Menulis Artikel Ilmiah Hasil Riset Literatur Untuk Guru-Guru SMA Negeri 1 Mirit Kabupaten Kebumen Agung Prabowo; Agus Sugandha; Mashuri Mashuri; Bambang Hendriya Guswanto; Suroto Suroto; Agustini Tripena; Slamet Riyadi
Joong-Ki : Jurnal Pengabdian Masyarakat Vol. 3 No. 1: November 2023
Publisher : CV. Ulil Albab Corp

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/joongki.v3i1.2544

Abstract

Kemampuan guru-guru di SMAN 1 Mirit Kabupaten Kebumen dalam riset dan publikasi hasil riset, telah sampai pada tingkatan pertumbuhan yang optimal. Hal tersebut ditandai dengan keberhasilan publikasi tujuh artikel pada periode pelatihan menyusun artikel ilmiah hasil riset sederhana. Untuk mendorong produktifitas dan menjaga motivasi guru-guru dalam riset dan publikasi, perlu pendampingan berkelanjutan dan pelatihan penyusunan artikel ilmiah dengan metode yang berbeda, yaitu dengan metode riset literatur. Tujuan pengabdian ini adalah membekali guru-guru SMAN 1 Mirit dengan pengetahuan dan keterampilan melakukan riset literatur. Metode pengabdian meliputi ceramah, pengenalan software publish-or-perish dan VOS Viewerr, memilih dan mengunduh artikel serta menganalisis/me-review artikel dengan Lembar Hasil Review Literatur (LHRL). Pengabdian telah dilaksanakan pada Rabu, 23 Agustus 2023 dan Rabu, 8 November 2023 di Aula SMAN 1 Mirit. Peserta pengabdian adalah seluruh guru dan staf pendidikan. Pemberian materi melalui ceramah berupa pemaparan tentang riset literatur, sumber-sumber artikel untuk riset, mencari dan menemukan celah riset dari hasil mengkaji literatur-literatur yang digunakan dan cara menganalisis literatur berupa artikel ilmiah. Selain itu seluruh peserta pelatihan diajak untuk men-download aplikasi gratis yaitu Publish or Perish dan diberikan contoh praktik penggunaannya. Software lain yang diperkenalkan adalah penggunaan aplikas VOS Viewer yang sangat memudahkan untuk memperoleh informasi-informasi penting dalam suatu artikel. Pelatihan ini memberikan tambahan pengetahuan, keterampilan dan kemampuan peserta dalam mengelola artikel ilmiah.
PENYELESAIAN SISTEM PERSAMAAN LINIER ATAS ALJABAR MAX-PLUS DAN APLIKASINYA MENGGUNAKAN VISUAL STUDIO Doberhol, James; Suroto, Suroto; Guswanto, Bambang Hendriya
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 16 No 2 (2024): 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.2024.16.2.14239

Abstract

Determining solution of the system of linear equations over max-plus algebra cannot be done as in linear algebra, since its algebraic structure is a semifield. In this article, we discuss determining solution of the system of linear equations over max-plus algebra and designing the application using Visual Studio. The solution of the system of linear equations is carried out using a difference matrix and a reduction matrix that obtained from the coefficient matrix and constant matrix of the system of linear equations. Then, the process of determining this solution is designed in the application using Visual Studio. The results obtained are a step procedure for solving a system of linear equations over max-plus algebra as outlined in the application using Visual Studio
Ideals In Matrix Rings Over Commutative Rings Lestari, Mugi; Suroto, Suroto; Larasati, Niken
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 4 (2023): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v8i4.481

Abstract

In this research, we discuss about ideal of matrix rings over commutative rings and its properties. The research of ideal in matrix rings is important because it is the basic structure for constructing factor rings in matrix rings. This research is a literature research that examines and develops research that has been done previously. We develop ideal concepts in an usually ring into matrix rings over commutative rings. By showing the sufficient and necessary condition of ideal of matrix rings over commutative rings, we show the form of ideal in matrix rings over commutative rings. Then, by using the properties of two ideal in a ring, we show the properties of intersection, addition and multiplication of two ideal in matrix rings over commutative rings. The result of this research is the form of ideal in matrix rings over commutative rings is the set of all matrices over the ideal in commutative rings. Then, the intersection, addition and multiplication of two ideal in matrix rings over commutative rings is also an ideal of matrix rings over commutative rings.
Pelatihan Menulis Artikel Ilmiah Hasil Riset Literatur Untuk Guru-Guru SMA Negeri 1 Mirit Kabupaten Kebumen Agung Prabowo; Agus Sugandha; Mashuri Mashuri; Bambang Hendriya Guswanto; Suroto Suroto; Agustini Tripena; Slamet Riyadi
Joong-Ki : Jurnal Pengabdian Masyarakat Vol. 3 No. 1: November 2023
Publisher : CV. Ulil Albab Corp

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/joongki.v3i1.2544

Abstract

Kemampuan guru-guru di SMAN 1 Mirit Kabupaten Kebumen dalam riset dan publikasi hasil riset, telah sampai pada tingkatan pertumbuhan yang optimal. Hal tersebut ditandai dengan keberhasilan publikasi tujuh artikel pada periode pelatihan menyusun artikel ilmiah hasil riset sederhana. Untuk mendorong produktifitas dan menjaga motivasi guru-guru dalam riset dan publikasi, perlu pendampingan berkelanjutan dan pelatihan penyusunan artikel ilmiah dengan metode yang berbeda, yaitu dengan metode riset literatur. Tujuan pengabdian ini adalah membekali guru-guru SMAN 1 Mirit dengan pengetahuan dan keterampilan melakukan riset literatur. Metode pengabdian meliputi ceramah, pengenalan software publish-or-perish dan VOS Viewerr, memilih dan mengunduh artikel serta menganalisis/me-review artikel dengan Lembar Hasil Review Literatur (LHRL). Pengabdian telah dilaksanakan pada Rabu, 23 Agustus 2023 dan Rabu, 8 November 2023 di Aula SMAN 1 Mirit. Peserta pengabdian adalah seluruh guru dan staf pendidikan. Pemberian materi melalui ceramah berupa pemaparan tentang riset literatur, sumber-sumber artikel untuk riset, mencari dan menemukan celah riset dari hasil mengkaji literatur-literatur yang digunakan dan cara menganalisis literatur berupa artikel ilmiah. Selain itu seluruh peserta pelatihan diajak untuk men-download aplikasi gratis yaitu Publish or Perish dan diberikan contoh praktik penggunaannya. Software lain yang diperkenalkan adalah penggunaan aplikas VOS Viewer yang sangat memudahkan untuk memperoleh informasi-informasi penting dalam suatu artikel. Pelatihan ini memberikan tambahan pengetahuan, keterampilan dan kemampuan peserta dalam mengelola artikel ilmiah.
Application of the Leslie Matrix Model in Predicting Population Growth Rates and Livestock Harvesting Muntafi’ah, Naailah; Prabowo, Agung; Suroto
International Journal of Mathematics, Statistics, and Computing Vol. 3 No. 2 (2025): International Journal of Mathematics, Statistics, and Computing
Publisher : Communication In Research And Publications

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijmsc.v3i2.204

Abstract

Leslie matrix model is a population growth model that can be used to predict the number and growth rate of populations that are female in population and female in animals. In animal populations, the Leslie matrix can be used in harvesting. This study aims to apply the Leslie matrix model to predict the number and growth rate of female cattle and determine the proportion of female cattle population harvesting. The female cattle populations used were female dairy cattle and female beef cattle. The results showed that the prediction of female dairy cattle population in 2022 - 2025 decreased every year. As for the female beef cattle population, the prediction results show that the number populaton always increase every year. Furthermore, to determine harvesting is only applied to the female beef cattle population. For uniform harvesting, the result is 11.4% of the population of each class and for the youngest class, the result is 50.5% of the population of the first age class.
CHARACTERIZATION OF NORMAL FUZZY SUBGROUP Cahyo, Bagas Dwi; Suroto, Suroto; Maryani, Sri
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 2 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i2.791

Abstract

In this article, we discuss the characterization of a normal fuzzy subgroup of classical group . The discussion of this characterization is carried out using Abelian properties, fuzzy conjugate subgroups, fuzzy normalizers, ????-level sets, and fuzzy cosets. The result shows that a sufficient and necessary condition for a normal fuzzy subgroup is the fulfilment of the Abelian condition in the fuzzy subgroup. Then, the equality between of the membership value of all element of  and its conjugate elements is also a sufficient and necessary condition for normal fuzzy subgroup of ????. Moreover, sufficient and necessary conditions of the normal fuzzy subgroup are the normalizer of this fuzzy subgroup is equal to ????. Henceforth, the sufficient and necessary conditions of a normal fuzzy subgroup of  is its ????-level set is a normal subgroup of . Meanwhile, the similarity of the fuzzy right coset and fuzzy left coset of the fuzzy subgroup is also a sufficient and necessary condition for the normal fuzzy subgroup. Furthermore, the normal properties of subgroups on classical groups are a special case of the normal properties in fuzzy subgroups.
Co-Authors Achmad Abdurrazzaq Agung Prabowo Agung Prabowo agus sugandha Agustini Tripena Ari Wardayani Ari Wardayani, Ari Ari Wardayanti Cahyo, Bagas Dwi Chumaedi Sugihandardji Doberhol, James Fajar Hoeruddin Fatkhur Rozi Guswanto, Bambang Hendriya Maryani, Sri Mashuri Mashuri Mugi Lestari, Mugi Muntafi’ah, Naailah Nadya Novika Najmah Istikaanah Najmah Istikaanah Niken Larasati Siti Rahmah Nurshiami, Siti Rahmah slamet riyadi Sri Maryani Sri Maryani Wardayanti, Ari