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All Journal EKSAKTA: Journal of Sciences and Data Analysis MATEMATIKA CAUCHY: Jurnal Matematika Murni dan Aplikasi Indonesian Journal of Mathematics and Natural Sciences Al-Jabar : Jurnal Pendidikan Matematika Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Matematika UNAND Majalah Ilmiah Matematika dan Statistika (MIMS) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Fundamental Mathematics and Applications (JFMA) Limits: Journal of Mathematics and Its Applications

Titi Udjiani SRRM

Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro

Author-ID : 386196

Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Engineering Materials Science & Nanotechnology Mathematics

Published : 22 Documents Claim Missing Document

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PERAMALAN PRODUKSI KARET INDONESIA MENGGUNAKAN FUZZY TIME SERIES DUA FAKTOR ORDE TINGGI RELASI PANJANG BERDASARKAN RASIO INTERVAL Vianita, Etna; Tjahjana, Heru; Udjiani, Titi
Majalah Ilmiah Matematika dan Statistika Vol 22 No 1 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i1.30414

The fuzzy time series method for forecasting continues to develop over time. This research discusses fuzzy time series, which considers two factors for high order using interval partitioning based on interval ratio with long relation construction for getting different accuracy in forecasting between combination method and existing method. The first step is the formation of the universe of speech. Second, divide the universe of discourse into several intervals using interval ratios. Third, fuzzification. Fourth, build fuzzy logic relations and fuzzy logic relation groups, and fifth, defuzzification. The previous methods would be compared with the fuzzy logic relation construction result. The simulation used Indonesian rubber production data for 2000-2020. The results and errors were tested using the average forecasting error rate (AFER). AFER value of the forecasting method is 1.863% obtained.Keywords: Forecasting, fuzzy time series, long relationMSC2020: 62M10, 62M20, 62M86, 03E72

Finding Minimum Distance on Birkhoff-James Orthogonality in Banach Space Susilo Hariyanto; Titi Udjiani; Yuri C Sagala; Muhammad Rafid Fadil
EKSAKTA: Journal of Sciences and Data Analysis VOLUME 1, ISSUE 2, August 2020
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20885/EKSAKTA.vol1.iss2.art5

In this paper we define orthogonality concept on Banach space. That is called Birkhoff-Jamesorthogonality. Some new problem about the correlation of orthogonality between Hilbert space and Birkhoff-James were discussed. Correlation investigated by using particular norm. In other side, correlation of minimum distance in Banach space and Birkhoff-James orthogonality also discussed, by generalizing minimum distance in Hilbert space

Model Matematika Optimasi Multi-Objektif Penurunan Beban Limbah Biochemical Oxygen Demand pada Instalasi Pengolahan Air Limbah Shelly Sholatan Kamilah; Sunarsih Sunarsih; Titi Udjiani
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.14077

The increase in community activities causes the amount of wastewater to increase. This wastewater comes from industrial production processes and from the community activities which are domestic wastewater. Domestic wastewater must be treated before being discharged to water sources because it contains pathogenic organisms. The place for treating domestic wastewater is Wastewater Treatment Plant (WWTP). The main purpose of WWTP is to degrade the Biochemical Oxygen Demand (BOD) and pathogenic organisms. This study develops a multi-objective optimization mathematical model for reducing the BOD load in the WWTP. This optimization model has three objective functions, namely maximizing the BOD load that is treated in the pond minimizing the difference between the BOD reduction efficiency value in the WWTP with the reference efficiency value and minimizing the power used by the aerator. The simulation results show that the maximum BOD load that can be treated in facultative ponds I and II is 1,589.688 Kg/day while for facultative ponds III and IV is 1,727.158 Kg/day. The efficiency value of reducing BOD load is influenced by the residence time variable, where the efficiency value of reducing the BOD load for facultative ponds I and II by 54% while for facultative ponds III and IV by 57%. The power used by the aerator is influenced by the treated BOD load variable, the aerator power in facultative ponds I and II is 49.67775 Kwh while in facultative ponds III and IV it is 53.97369 Kwh.

Fuzzy Time Series Orde Tinggi berdasarkan Rasio Interval Etna Vianita; Redemtus Heru Tjahjana; Titi Udjiani
Jurnal Matematika UNAND Vol 11, No 1 (2022)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.11.1.53-63.2022

Fuzzy time series (FTS) adalah metode peramalan untuk memprediksi data time series dibentuk dalam nilai-nilai linguistik yang diperkenalkan pertama kali oleh Song dan Chissom. Metode peramalan FTS terus berkembang misalnya pengembangan pada partisi interval pembicaraan menggunakan rasio interval oleh Huarng dan pengembangan pada fuzzy logical relationship (FLR) orde tinggi oleh Chen. Penelitian ini memodifikasi metode Chen pada langkah partisi interval pembicaraan menggunakan rasio interval untuk meningkatkan akurasi peramalan. Langkah pertama adalah pembentukan semesta pembicaraan. Kedua, mempartisi semesta pembicaraan menjadi beberapa interval dengan menggunakan rasio interval. Ketiga, fuzzyfikasi. Keempat, membangun relasi logika fuzzy (FLR) dan grup relasi logika fuzzy (FLRG). Kelima, defuzzyfikasi. Hasil penggabungan metode Huarng-Chen dibandingkan dengan metode Chen. Simulasi yang dilakukan menggunakan data produksi karet Indonesia tahun 2000-2020. Hasil dan eror dari metode diuji menggunakan mean square error (MSE) dan average forecasting error rate (AFER). Diperoleh hasil modifikasi menghasilkan eror yang lebih kecil daripada metode sebelumnya.

MODUL NEUTROSOFIK KUAT Suryoto Suryoto; Harjito Harjito; Titi Udjiani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

Given any neutrosophic ring with unity and a commutatively additive neutrosophic group. Then we can formed a neutrosophic algebraic structure is called a strong neutrosphic module. From the concept of weak neutrosophic module we extend to the concept of strong neutrosophic module. In this paper, also elementary properties of strong neutrosophic module are given.

MENGKONSTRUKSI DIRECT PRODUCT NEAR RING DAN SMARANDACHE NEAR RING Rizky Muhammad Bagas; Titi Udjiani SRRM; Harjito Harjito
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

If we have two arbitrary non empty sets ,then their cartesian product can be constructed. Cartesian products of two sets can be generalized into number of sets. It has been found that if the algebraic structure of groups and rings are seen as any set, then the phenomenon of cartesian products of sets can be extended to groups and rings. Direct products of groups and rings can be obtained by adding binary operations to the cartesian product. This paper answers the question of whether the direct product phenomenon of groups and rings can also be extended at the near ring and Smarandache near ring ?. The method in this paper is by following the method in groups and rings, namely by seen that near ring and Smarandache near ring as a set and then build their cartesian products. Next, the binary operations is adding to the cartesian products that have been obtained to build the direct product definitions of near ring and near ring Smarandache.

NORMAL ELEMENT ON IDENTIFY PROPERTIES Titi Udjiani; Solikhin Zaki; Suryoto Suryoto; Harjito Harjito
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

One type of element in the ring with involution is normal element. Their main properties is commutative with their image by involution in ring. Group invers of element in ring is always commutative with element which is commutative with itself. In this paper, properties of normal element in ring with involution which also have generalized Moore Penrose invers are constructed by using commutative property of group invers in ring.

ELEMEN SIMETRIS DAN SIMETRIS DIPERUMUM PADA RING DENGAN INVOLUSI Titi Udjiani SRRM
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

The definition of symmetric element in a ring with unity and equipped with involution can be generalized to generalized symmetric elements. But the properties of symmetric element not automatically can be generalized to generalized symmetric elements. In this paper, we discuss the property of symmetric element which can or cannot be generalized to generalized symmetric elements. Because of at least there is an element of symmetric and generalized symmetric elements which have the generalized Moore Penrose inverse, so method in this paper is by establishing a relationship between symmetric element, generalized symmetric element and generalized Moore Penrose inverse of element.

Comparison of Matrix Decomposition in Null Space-Based LDA Method Usman, Carissa Devina; Farikhin; Titi Udjiani
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Vol 8 No 3 (2024): June 2024
Publisher : Ikatan Ahli Informatika Indonesia (IAII)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29207/resti.v8i3.5637

Problems with small sample sizes and high dimensionality are common in pattern recognition. Almost all machine learning algorithms degrade in high-dimensional data, so that singularities in the scatter matrices, the main problem of the Linear Discriminant Analysis (LDA) technique, might result. A null space-based LDA (NLDA) has been conceived to address the singularity issue. NLDA aims to maximize the distance between classes in the null space of the within-class scatter matrix. In the first research, the NLDA method was performed by computing the eigenvalue decomposition and singular value decomposition (SVD). This research led to several new implementations of the NLDA method that use other matrix decompositions. The new implementations include NLDA using Cholesky decomposition and NLDA using QR decomposition. This paper compares the performance of three NLDA methods that use different matrix decompositions, namely, SVD, Cholesky decomposition, and QR decomposition. Two sets of data were used in the experiments that used three different NLDA algorithms. To determine the performance of the NLDA methods, the classification accuracy of the three methods was measured using the confusion matrix. The results show that the NLDA method using SVD has the best performance when compared to the other two methods, achieving a precision of 77.8% accuracy for the Colon dataset and a precision of 98.8% accuracy for the TKI-resistance dataset.

Prime ideal on the end_Z (Z^n ) Ring Ikhtiyar, Zakaria Bani; Puspita, Nikken Prima; Udjiani, Titi
Al-Jabar: Jurnal Pendidikan Matematika Vol 13 No 2 (2022): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v13i2.13193

The set of all endomorphisms over -module is a non-empty set denoted by . From we can construct the ring of over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers. In this paper, we take the ring of integer number and the module of over such that the is a ring. Furthermore, we show the existences of prime ideal on the . We also applied a prime ideal property to prime ideal on .

Co-Authors Alhusna, Lathifatul Inayah Bagas, Rizky Muhammad Bayu Surarso Etna Vianita Harjito - Harjito Harjito Herdiana, Ratna Ikhtiyar, Zakaria Bani Irawanto, B Juwanda, Farikhin Muhammad Rafid Fadil Nikken Prima Puspita Nurhayati, Neri Puspita, N P Putri, Aina Latifa Riyana R., IDA M. Redemtus Heru Tjahjana Rizky Muhammad Bagas Shelly Sholatan Kamilah Solikhin Zaki Sunarsih Sunarsih Suryoto Suryoto Suryoto, S susilo hariyanto Susilo Hariyanto Usman, Carissa Devina Vianita, Etna Yuri C Sagala Zaenurrohman, Zaenurrohman

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