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All Journal Jurnal Sains Dasar Jurnal Fourier BAREKENG: Jurnal Ilmu Matematika dan Terapan Jambura Journal of Mathematics Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA)
Arif Munandar
UIN Sunan Kalijaga Yogyakarta
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Beberapa Sifat Modul Miskin Arif Munandar; Indah Emilia Wijayanti
Jurnal Fourier Vol. 9 No. 2 (2020)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Abstract

Modul miskin adalah modul yang injektif relatif terhadap semua modul semisederhana. Dalam tulisan ini dibahas mengenai eksistensi dan pembentukan modul miskin. Berikutnya dibahas peranan dari modul injektif yang dapat digantikan oleh modul miskin dengan tambahan sifat tertentu. [A poor module defined to be a module which injective relative only to all semisimple modules. We give the existence of poor modules, how to form poor modules over any rings.The last, we discus about the role of injective module which can be replaced by poor module with some additional properties.]
Graf Order Elemen: representasi baru grup berhingga pada graf Arif Munandar
Jurnal Ilmiah Matematika Vol 9, No 1 (2022)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/konvergensi.v9i1.24201

Abstract

Graf Order Elemen merupakan representasi grup berhingga pada graf dengan memandang anggota dari grup sebagai vertek dari graf dan vertek  adjecent dengan  jika hanya jika order  membagi order  atau sebaliknya. Melalui penelitian ini disampaikan bahwa graf order elemen dari grup siklik dengan order prima dan grup siklik dengan order  bilangan prima dan  bilangan bulat mempunyai hubungan dengan graf komplit, graf Hamilton dan graf Euler. Selain itu dibahas juga komplemen dari graf order elemen untuk grup siklik dengan order  tertentu.
Implementation of Hybrid RNN-ANFIS on Forecasting Jakarta Islamic Index Yogi Anggara; Arif Munandar
Jambura Journal of Mathematics Vol 5, No 2: August 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjom.v5i2.20407

Abstract

RNN is a type of artificial neural network used to handle problems that require sequential data processing. ANFIS is a method that combines the advantages of fuzzy logic and artificial neural networks to create a system, so can adapt the parameters it uses according to the obtained data so that it can build an automated inference system. In this research, we make combination of RNN in ANFIS, which makes ANFIS able to accept input in the form of time series data so that ANFIS can recognize patterns contained in the time series data and its suitable for forecasting cases in the Jakarta Islamic Index. The membership functions used are three Gaussian functions. The results of the RNN-ANFIS Hybrid model training provide an interpretation that the first membership function represents the trend change indicator value, the second membership function represents the closing price change value in the last eight days, and the third membership function represents the pattern change value in the trend. The model for the Jakarta Islamic Index provides very good predictions with an MSE value of 0.001 and an MAE of 0.246.
Pewarnaan Fraksional Fuzzy pada Graf Fuzzy Beserta Aplikasinya dalam Penjadwalan Ujian Muhammad Lutfi Prakasta; Arif Munandar
Jurnal Fourier Vol. 12 No. 1 (2023)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2023.121.1-9

Abstract

Himpunan fuzzy dari waktu ke waktu terus berkembang. Himpunan fuzzy dikembangkan bersamaan dengan teori graf menghasilkan teori baru dinamakan graf fuzzy. Sebagaimana dalam teori graf terdapat pewarnaan, pada graf fuzzy juga terdapat pewarnaan. Inti pembahasan dari penelitian ini adalah pewarnaan fraksional fuzzy pada graf fuzzy. Pembahasan diawali dengan konsep dasar graf fuzzy dan pewarnaan graf fuzzy. Kemudian diakhiri dengan aplikasi penerapan pada penjadwalan ujian mahasiswa matematika. Fuzzy sets will continue to develop from year to year. The development of fuzzy sets and graph theory resulted a new theory called fuzzy graphs. Similar to graph theory, fuzzy graphs also have coloring techniques. The main discussion of this research is fuzzy fractional coloring on fuzzy graphs. The discussion begins with the basic concepts of fuzzy graphs and fuzzy graph coloring. Then, at the end of the discussion also includes the application on scheduling student math exams.
Sturuktur Graf Fuzzy dan Aplikasinya pada Pengambilan Keputusan dalam Identifikasi Layanan Perjalanan Ilma Nindita Ramadhani; Munandar, Arif
Jurnal Fourier Vol. 13 No. 1 (2024)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2024.131.20-29

Abstract

Struktur graf fuzzy adalah penggabungan dari struktur graf dan graf fuzzy. Penelitian ini membahas beberapa pengertian dan sifat dari struktur graf fuzzy diantaranya struktur graf fuzzy komplit dan kuat, struktur graf fuzzy terhubung, serta struktur graf fuzzy reguler. Lebih lanjut, dibentuk semi strong min-product dari dua struktur graf fuzzy dan beberapa teoremanya dari semi strong min-product yang dihasilkan. Selanjutnya disajikan aplikasi dari struktur graf fuzzy dalam pengambilan keputusan, yaitu pengambilan keputusan dalam identifikasi layanan perjalanan, yang didasarkan pada tarif harga dari masing-masing agen. Dengan menerapkan algoritma yang telah disusun disusun dapat ditentukan layanan perjalanan dari satu kota ke kota lain, berdasarkan harga tiket terendah. [ A fuzzy graph structure is an extension of graph structure and fuzzy graph. This research discusses several definitions and properties of the fuzzy graph structure including complete and strong fuzzy graph structure, connected fuzzy graph structure, and regular fuzzy graph structure. Furthermore, the semi strong min-product of two fuzzy graph structures can be formed, then some theorems are discussed for semi strong min-product. Furthermore, the application of the fuzzy graph structure in decision making is presented, specially decision making for the identification of travel services, which is based on the price rates of each agent. Through the algorithm, it is possible to determine the travel service from one city to another, based on the lowest ticket price. ]
Graf Order Elemen: representasi baru grup berhingga pada graf Arif Munandar
Jurnal Ilmiah Matematika Vol. 9 No. 1 (2022)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/konvergensi.v9i1.24201

Abstract

Graf Order Elemen merupakan representasi grup berhingga pada graf dengan memandang anggota dari grup sebagai vertek dari graf dan vertek  adjecent dengan  jika hanya jika order  membagi order  atau sebaliknya. Melalui penelitian ini disampaikan bahwa graf order elemen dari grup siklik dengan order prima dan grup siklik dengan order  bilangan prima dan  bilangan bulat mempunyai hubungan dengan graf komplit, graf Hamilton dan graf Euler. Selain itu dibahas juga komplemen dari graf order elemen untuk grup siklik dengan order  tertentu.
GRAF PRIMA KOPRIMA ATAS GRUP DIHEDRAL Shofiyulloh, M.; Munandar, Arif; Wardati, Khurul
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.2024.16.2.13868

Abstract

A coprime prime graph over a finite group is a representation of a finite group on a graph by viewing group members as vertices of the graph and two distinct vertices and are adjacent if and only if order and order are prime or mutually prime. This research examines how to characterize the coprime prime graph over the dihedral group. Through analysis of the patterns that appear in the graphs formed, properties of coprime prime graphs over dihedral groups can be found, especially those related to the characterization of complete graphs and Hamiltonian graphs. This research also discusses the vertex connectivity of the coprime prime graph over the dihedral group.
Pythagorean Fuzzy Set and Its Application to Determining Student Concentration Using Max-Min-Max Composition Nuur, Imam Hafiidz; Munandar, Arif
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 2 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v7i2.21170

Abstract

Pythagorean fuzzy set is a generalization of intuitionistic fuzzy set. As intuitionistic fuzzy set that can be used to help in solving problems regarding decision making, pythagorean fuzzy set can also be done for the same thing.  In the pythagorean fuzzy set, a max-min-max composition relation will be formed and used it to solve decision-making problems. Through this research, decision making in determining the concentration for students of the Mathematics undergraduates program at Sunan Kalijaga State Islamic University Yogyakarta is discussed based on data on student grades in compulsory courses that have been taken by students until the 4th semester. Concentration that is in line with the interests and abilities is expected to facilitate the writing of the student's final project.
Graf Identitas atas Grup Quaternion Tergeneralisasi Munandar, Arif; Febrianti, Alfina Berliana; Carlinda, Ardha; Rahmadina, Alifah Fitria
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 17 No 1 (2025): 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.2025.17.1.14699

Abstract

Identity graphs are graphs defined based on the relationship of group elements to identity elements. This study examines the relationship between the algebraic structure of the generalized quaternion group and the topological structure of the identity graph constructed from the group. Through a review of literature related to graph theory and group theory, this research identifies certain patterns in the identity graph of the generalized quaternion group. The results show that the identity graph formed has distinctive characteristics, such as a specific number of edges and cycles, as well as varying degrees of each vertex. Furthermore, this study proves that the identity graph on the generalized quaternion group is not eligible to be an Euler graph or a Hamiltonian graph. Moreover, based on the pattern formed, it can be identified that the identity graph on the group always forms a planar graph. The discussion is colosed with the identification of its girth and diameter.
SOME PROPERTIES ON COPRIME GRAPH OF GENERALIZED QUATERNION GROUPS Munandar, Arif
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1373-1380

Abstract

A coprime graph is a representation of finite groups on graphs by defining the vertex graph as an element in a group and two vertices adjacent to each other's if and only if the order of the two elements is coprime. In this research, we discuss the generalized Quaternion group and its properties. Then we discuss the properties of the coprime graph over the generalized Quaternion group by looking at its Eulerian, Hamiltonian, and Planarity sides. In general, the coprime graphs of the generalized quaternion group are not Eulerian, not Hamilton, and not planar graphs. The coprime graph of the generalized quaternion group is a planar graph if for a natural number .
Co-Authors Carlinda, Ardha Febrianti, Alfina Berliana Ilma Nindita Ramadhani Indah Emilia Wijayanti Khurul Wardati Muhammad Lutfi Prakasta Nuur, Imam Hafiidz Rahmadina, Alifah Fitria Shofiyulloh, M. Yogi Anggara