Jurnal Fourier最新文献

{"title":"Komutatif Matriks ordo 2×2 Atas Aljabar Max-Plus","authors":"Any Muanalifah","doi":"10.14421/fourier.2023.121.33-40","DOIUrl":"https://doi.org/10.14421/fourier.2023.121.33-40","url":null,"abstract":"Pada aljabar klasik, tidak semua matriks saling komutatif, begitu juga di aljabar max-plus. Pada artikel ini kita akan membahas tentang komutatif matriks ordo atas aljabar max-plus. Selanjutkan kita akan mengkaji matriks komutatif dengan dimensi dalam aljabar maxplus terdiri atas beberapa kelas diantaranya matriks normal, matriks circulant dan generalisasi matriks Kleene star.","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Harga Minyak Mentah WTI Menggunakan Metode Fuzzy Time Series Markov Chain","authors":"Siti Nurlela, Aris Fanani, None Hani Khaulasari","doi":"10.14421/fourier.2023.121.10-19","DOIUrl":"https://doi.org/10.14421/fourier.2023.121.10-19","url":null,"abstract":"Harga minyak mentah merupakan salah satu patokan untuk perekonomian dunia. Harga minyak mentah sering mengalami naik turun yang disebabkan oleh pendapatan dan permintaan. Kaadaan yang terjadi ini dapat diatasi dengan prediksi menggunakan metode fuzzy time series markov chain. Data harga minyak mentah WTI merupakan bentuk data time series yang diakses dari webside Id.investing. Pada penelitian ini bertujuan untuk pengambilan keputusan para investor. Metode fuzzy time series markov chain pada harga minyak mentah jenis WTI mendapatkan nilai akurasi prediksi lebih dari 98%, sedangkan nilai dari MAPE adalah 1.18%.","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pengaruh Reduksi Fitur Pada Klasifikasi Kanker Paru Menggunakan CNN Dengan Arsitektur GoogLeNet","authors":"Siti Nur Fadilah, Dian Candra Rini Novitasari, Lutfi Hakim","doi":"10.14421/fourier.2023.121.20-32","DOIUrl":"https://doi.org/10.14421/fourier.2023.121.20-32","url":null,"abstract":"Kanker paru merupakan jenis kanker dengan penyebab kematian terbanyak. Penelitian ini bertujuan untuk mengklasifikasikan jenis kanker paru apakah termasuk kedalam kelas lung adenocarcinoma, benign lung tissue, lung squamous cell carcinoma berdasarkan citra histopatologi menggunakan metode CNN arsitektur GoogLeNet serta reduksi fitur PCA. Evaluasi model yang digunakan pada penelitian ini menggunakan confusion matrix. Data yang digunakan dalam penelitian ini sejumlah 15000 data yang terbagi menjadi 3 kelas dengan masing-masing kelas berjumlah 5000 data. Pada penelitian ini parameter uji coba yang digunakan yaitu probabilitas dropout dan jumlah batchsize. Lalu, metode reduksi fitur yang digunakan yaitu PCA. Hasil terbaik yang diperoleh yaitu pada pembagian data 90:10 dengan nilai probabilitas dropout 0.9 dan jumlah batchsize 8 dengan memperoleh nilai akurasi, sensitivitas, spesifitas berturur-turut yaitu 99.95%, 99.97%, dan 99.86% serta membutuhkan waktu training selama 93 menit 27 detik.","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pewarnaan Fraksional Fuzzy pada Graf Fuzzy Beserta Aplikasinya dalam Penjadwalan Ujian","authors":"Muhammad Lutfi Prakasta, Arif Munandar","doi":"10.14421/fourier.2023.121.1-9","DOIUrl":"https://doi.org/10.14421/fourier.2023.121.1-9","url":null,"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.","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Grup Multiplikatif 2U_n","authors":"M. Mahmudi, Malahayati Malahayati","doi":"10.14421/fourier.2019.82.51-55","DOIUrl":"https://doi.org/10.14421/fourier.2019.82.51-55","url":null,"abstract":"Artikel ini membahas bukti grup multiplikatif 2Un menggunakan aturan kanselasi. Lebih jauh, juga dibuktikan bahwa grup tersebut merupakan grup siklik menggunakan hubungan isomorfisma grup dengan grup Un. \u0000[In this article, we prove the multiplicative group 2Un using the cancellation law. Futhermore, we also prove that 2Un is a cyclic group using an isomorphism property.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49246486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Aplikasi Model Matematika Dua Predator dan Prey Terinfeksi dengan Kontrol Pestisida pada Penyebaran Hama Wereng Batang Cokelat di Kabupaten Bantul","authors":"Irham Taufiq, Denik Agustito","doi":"10.14421/fourier.2019.82.65-72","DOIUrl":"https://doi.org/10.14421/fourier.2019.82.65-72","url":null,"abstract":"Penelitian ini bertujuan membentuk model matematika yang menunjukan interaksi antara predator dan prey dengan kontrol pestisida. Interaksi antara predator dan prey menggunakan fungsi respon Holling tipe II. Pertumbuhan predator dan prey menggunakan fungsi logistik. Dari Model tersebut diperoleh delapan titik ekuilibrium. Semua titik ekuilibrium tersebut dianalisis menggunakan metode linierisasi dan bersifat stabil asimtotik lokal. Kemudian model ini diaplikasikan dengan menggunakan data. Selanjutnya, simulasi numerik menggunakan software Maple untuk memprediksikan dinamika populasi wereng predator dan prey. Semua populasi tersebut akan bertahan hidup karena dipengaruhi oleh kontrol pestisida dan tingkat pemangsaan. \u0000[This research aimed to construct a mathematical model showed the interaction between predator and prey by control of the pest. The interaction between predator and prey followed functional response Holling type II. The modeled population growth both predators and prey were using the logistic function. There were eight equilibrium points for this model. Each of them was linearization method analyzed and asymptotic stability. Then, this applicated model was using data. Then numerical simulation used software Maple to predict dynamical population both of them. All populations will survive because of control of pest and the level of interaction both of them.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49664069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analisis Kesalahan dalam Menyelesaikan Soal Geometri Siswa Kelas XI SMK Bina Warga Lemahabang","authors":"Misni Misni, Ferry Ferdianto","doi":"10.14421/fourier.2019.82.73-78","DOIUrl":"https://doi.org/10.14421/fourier.2019.82.73-78","url":null,"abstract":"Geometri mengandung gambar dan simbol-simbol yang abstrak sehingga butuh penalaran yang tinggi. Kebanyakan siswa kurang memahami materi geometri, sehingga ketika siswa dihadapkan dengan soal geometri akan terjadi kesalahan dalam pengerjaannya.  Oleh karena itu,  perlu adanya identifikasi dari kesalahan-kesalahan siswa dalam menjawab soal-soal geometri. Adapun, tujuan dari penelitian ini adalah untuk mengetahui jenis-jenis kesalahan siswa dalam menyelesaikan soal geometri dan untuk mengetahui faktor-faktor yang menjadi kesalahan siswa dalam menjawab soal geomerti. Penelitian ini menggunakan metode deskriptif kualitatif. Sampel yang digunakan dalam penelitian ini adalah siswa kelas XI AK SMK Bina Warga Lemahabang. Pengambilan sampelnya yaitu dengan teknik purposive sampling berdasarkan hasil tes siswa. Cara dalam menganalisis hasil tes siswa dilakukan dengan mengidentifikasi data yang diperoleh dari hasil tes siswa lalu disimpulkan jenis-jenis kesalahannya. Adapun hasil analisis soal dan jawaban siswa, diketahui bahwa faktor-faktor yang menyebabkan kesalahan adalah (1) kesalahan dalam memahami konsep (2) kurangnya tingkat penalaran siswa untuk mencapai sebuah ruang. (3) kurang teliti (4) kurang menguasai materi (5) kesalahan dalam menuliskan formula. \u0000[Geometry contains abstract images and symbols so it needs high reasoning. Most students do not understand geometry material, so that when students are faced with geometric problems there will be errors in the process. Therefore, it is necessary to identify students' mistakes in answering geometry questions. Meanwhile, the purpose of this study is to determine the types of student errors in solving geometry problems and to find out the factors that are the students' mistakes in answering geomechanical questions. This study used descriptive qualitative method. The sample used in this study was class XI AK SMK Bina Warga Lemahabang. Sampling is by purposive sampling technique based on student test results. The way to analyze student test results is done by identifying data obtained from student test results and then concluding the types of errors. The results of the analysis of the questions and answers of students, it is known that the factors that cause errors are (1) errors in understanding the concept (2) the lack of students' level of reasoning to reach a space. (3) inaccurate (4) lack of mastery of material (5) errors in writing formula.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45770289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Penanganan Endogenitas Modal Sosial Pada Pemodelan Kemiskinan Rumah Tangga di Indonesia Dengan Metode Two Probit Least Square (2PLS)","authors":"Eko Yulian","doi":"10.14421/fourier.2019.81.19-26","DOIUrl":"https://doi.org/10.14421/fourier.2019.81.19-26","url":null,"abstract":"Kemiskinan merupakan salah satu permasalahan mendasar yang telah menjadi perhatian utama berbagai negara di dunia termasuk Indonesia. Agar pengentasan kemiskinan berjalan efektif tentunya perlu diketahui dan diukur kuat pengaruh faktor-faktor yang mempengaruhi kemiskinan. Faktor-faktor tersebut diantaranya adalah modal SDM dan modal sosial. Untuk mengukur kontribusi faktor-faktor tersebut digunakan analisis regresi. Variabel bebas pada penelitian ini bersifat kategorik biner (1=miskin, 0=tidak) sehingga analisis regresi yang bisa digunakan adalah analisis regresi logistik dan probit. Penelitian ini menggunakan regresi probit untuk mengetahui pengaruh modal sosial dan modal SDM terhadap kemiskinan. Pada analisis regresi probit, asumsi yang harus dipenuhi adalah tidak adanya korelasi antara variabel bebas dan error pada model, apabila hal tersebut tidak terpenuhi maka akan muncul permasalahan yang disebut dengan endogenitas yang mengakibatkan hasil taksiran parameter yang dihasilkan bias. Pada penelitian ini diperoleh informasi bahwa variabel modal sosial merupakan variabel endogen sehingga digunakan metode Two Probit Least Square (2PLS) untuk mengatasi permasalahan endogenitas yang terjadi. Berdasarkan hasil regresi probit dengan menggunakan metode 2PLS diperoleh tiga variabel bebas yang berpengaruh negatif terhadap peluang rumah tangga menjadi miskin, variabel-variabel tersebut adalah modal sosial, lama sekolah dan umur. Sedangkan variabel ukuran rumah tangga berpengaruh positif terhadap peluang rumah tangga menjadi miskin di Indonesia. \u0000[Poverty is one of the fundamental problems. It has been a major concern of governments in various countries around the world, including Indonesia. In order for poverty alleviation to be effective, it is necessary to know and measured strongly the influence of factors affecting poverty. These factors include human capital and social capital. To measure the contribution of these factors is used regression analysis. The independent variables in this study are binary categorical (1=poor, 0=no) so that regression analysis that can be used is logistic and probit regression analysis. This research uses probit regression to know the influence of social capital and human capital to poverty. In the probit regression analysis, the assumption that must be met is the absence of correlation between the independent variable and error in the model, if it is not fulfilled then the problem will arise called endogeneity which can lead to bias parameter. In this study obtained information that social capital variable is an endogenous variable, so Two Probit Least Square (2PLS) method used to overcome the problem of endogeneity that happened. Based on the results of probit regression using 2PLS method obtained three independent variables that negatively affect the probability of households to be poor, these variables are social capital, school, and age. While the variable size of households positively affects the probability of hous","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47702286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Image (Pre-image) Homomorfisme Interior Subgrup Fuzzy","authors":"S. Abdurrahman","doi":"10.14421/fourier.2019.81.15-18","DOIUrl":"https://doi.org/10.14421/fourier.2019.81.15-18","url":null,"abstract":"Dalam makalah ini, akan diperkenalkan notasi image (pre-image) di bawah homomorfisma grup, dan akan dibuktikan image (pre-image) interior subgrup fuzzy (interior subgrup) di bawah homomorfisma grup selalu interior subgrup fuzzy (interior subgrup). \u0000[In this paper, we will introduce the image (pre-image) under the group homomorphism, and we will prove the image (pre-image) of the interior of the fuzzy subgroup (the interior of the subgroup) under the group homomorphism is always the interior of the fuzzy subgroup (the interior of the subgroup).]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41827691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Ketunggalan Titik Tetap Pada Pemetaan Kontraksi θ-ϕ di Ruang Metrik Parsial","authors":"Malahayati Malahayati","doi":"10.14421/fourier.2019.81.35-42","DOIUrl":"https://doi.org/10.14421/fourier.2019.81.35-42","url":null,"abstract":"Paper ini mempelajari kontraksi θ-ϕ dan kontraksi tipe Kannan θ-ϕ serta beberapa teorema ketunggalan titik tetap  pada ruang metrik parsial. Selanjutnya membandingkan Teorema serupa yang telah dikemukakan oleh peneliti sebelumnya dan membahas contoh sebagai ilustrasi dari teorema yang dibahas. \u0000[In this paper, we study the notions of θ-ϕ contraction and θ-ϕ Kannan Type contraction, and some fixed point theorem on partial metric spaces. The results presented in the paper study and consederation some previously results, we also give an example to illustrate our results.]","PeriodicalId":55815,"journal":{"name":"Jurnal Fourier","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42746773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}