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Jurnal Matematika: MANTIK

mantik
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Published by Universitas Islam Negeri Sunan Ampel

ISSN : 25273159 EISSN : 25273167 DOI : 10.15642/mantik

Core Subject : Education,

Mathematics

Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, Computing and Applied).

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Articles 119 Documents

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Dimensi partisi graf thorn dari graf kipas Auli Mardhaningsih
Jurnal Matematika MANTIK Vol. 5 No. 1 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Let be a connected graph and. For a vertex and an ordered k-partition of, the presentation of concerning is the k-vector, where denotes the distance between and for. The k-partition is said to be resolving if for every two vertices, the representation. The minimum k for which there is a resolving k-partition of is called the partition dimension of, denoted by. Let be a non-negative integer, for. The thorn of, with parameters is obtained by attaching vertices of degree one to the vertex, denoted by. In this paper, we determine the partition dimension of where, the fan on n+1 vertices, for.

Regresi Logistik Bootstrap untuk Menentukan Faktor yang Mempengaruhi Tingkat Kemampuan Wirausaha Muhammad Ridho; Dodi Devianto
Jurnal Matematika MANTIK Vol. 5 No. 1 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The purpose of this study is to determine the factors that affect the level of entrepreneurial capability in tourism of rural area in Nagari Salayo of West Sumatra. The level of entrepreneurial capability is the response variable in this study with an ordinal scale consisting of four categories, they are lower, middle, high, or very high. Whereas the predictor variables consist of 4 socio-demographic factor variables, they are gender, education level, age group and occupation, and also 5 entrepreneurial motivation variables. To determine the predictor variables that are significantly affecting response variables, an ordinal logistic regression with a bootstrap estimation is executed. The study’s result shows two predictor variables that affect the response variable significantly, they are the entrepreneurial motive and social motive with the hit ratio of 61,667%. With that result, the model formed by bootstrapping logistic regression is able to determine the level of entrepreneurial capability in tourism of the rural area.

Model Indeks Harga Saham Gabungan menggunakan Artificial Neural Network dan Multivariate Adaptive Regression Spline Mutia Yollanda; Dodi Devianto; Putri Permathasari
Jurnal Matematika MANTIK Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2019.5.2.112-122

The Indonesian Composite Stock Price Index is an indicator of changes in stock prices are a guide for investors to invest in reducing risk. Fluctuations in stock data tend to violate the assumptions of normality, homoscedasticity, autocorrelation, and multicollinearity. This problem can be overcome by modelling the Composite Stock Price Index uses an artificial neural network (ANN) and multivariate adaptive regression spline (MARS). In this study, the time-series data from the Composite Stock Price Index starting in April 2003 to March 2018 with its predictor variables are crude oil prices, interest rates, inflation, exchange rates, gold prices, Down Jones, and Nikkei 225. Based on the coefficient of determination, the determination coefficient of ANN is 0.98925, and the MARS determination coefficient is 0.99427. While based on the MAPE value, MAPE value of ANN was obtained, namely 6.16383 and MAPE value of MARS, which was 4.51372. This means that the ANN method and the good MARS method are used to forecast the value of the Indonesian Composite Stock Index in the future, but the MARS method shows the accuracy of the model is slightly better than ANN.

Multi Unit Spares Inventory Control-Three Dimensional (MUSIC 3D) Approach to Inventory Management Zaidatun Ni'mah; Yuniar Farida
Jurnal Matematika MANTIK Vol. 5 No. 1 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Inventory control is a series of efforts that need to be done for each company to generate the maximum profit from existing inventory. In this study inventory control was conducted through the Multi-Unit Spares Inventory Control – Three Dimensional (MUSIC 3D) approach at PT Fajar Mas Murni Surabaya using three analysis, namely ABC analysis, SDE analysis, and FSN analysis. The result of ABC analysis show that category A consists of 6 items (3%) which contribute 81% to company income, category B consists of 16 items (8%) which contributes 15% to company income, while category C consists of 190 items (89%) which contribute 4% to company income. The result of SDE analysis shows that category S consists of 127 items (60% of all items), category D consists of 43 items (20% of all items), while category E consist of 42 items (20% of all items). The result of FSN analysis show that category F consists of 15% (7% of all items), category S consists of 41 items (19% of all items) and category N consists of 156 items (74% of all items).

Classification of EEG Signals using Fast Fourier Transform (FFT) and Adaptive Neuro Fuzzy Inference System (ANFIS) Suwanto Suwanto; M. Hasan Bisri; Dian Candra Rini Novitasari; Ahmad Hanif Asyhar
Jurnal Matematika MANTIK Vol. 5 No. 1 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Epilepsy is a disease that attacks the brain and results in seizures due to neurological disorders. The electrical activity of the brain recorded by the EEG signal test, because EEG test can be used to diagnose brain and mental diseases such as epilepsy. This study aims to identify whether a person has epilepsy or not along with the result of accurate, sensitivity, and precision rate using Fast Fourier Transform (FFT) and Adaptive Neuro-Fuzzy Inference System (ANFIS) method. The FFT is used to transform EEG signals from time-based into frequency-based and continued with feature extraction to take characteristics from each filtering signal using the median, mean, and standard deviations of each EEG signal. The results of the feature extraction used for input on the category process based on characteristics data (classification) using ANFIS. EEG signal data is obtained from epilepsy center online database of Bonn University, German. The results of the EEG signal classification system using ANFIS with two classes (Normal-Epilepsy) states accuracy, sensitivity, and precision of 100%. The classification systems with three class division (Normal-Not Seizure Epilepsy-Epilepsy) resulted in an accuracy of 89.33% sensitivity of 89.37% and precision of 89.33%.

Application of Expectation-Maximization (EM) Algorithm in Grouping Popularity Tourism Objects in Malang Raya Based on Indicator of Many Visitors Nur Atikah
Jurnal Matematika MANTIK Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Malang Metropolitan Area is one of the areas in East Java which is a leading tourism destination in Indonesia with Batu Tourism City (Kota Wisata Batu) as the center. Considering the development of tourism in Malang, it is necessary to do a grouping of the popularity of tourism objects so that it can be used as a reference for making policy by the tourism department and tourism management. In this article, the grouping is analyzed by using the method of grouping the Expectation Maximation (EM) algorithm. The data used is secondary data obtained from BPS data, namely data of many tourism visitors in Malang Raya. The results of the grouping the popularity of leading tourism objects in Malang are based on indicators of the number of visitors divided into five groups, there are Group 1: Selecta; Group 2: Balekambang, Pemandian Wendit and Wisata Oleh-Oleh Brawijaya; Group3: Museum Angkut, Coban Rondo, Museum Satwa, Jatim Park, BNS, Petik Apel “Makmur Abadi and Agro Kebun Teh Wonosari; Group 4: Kusuma Agro Wisata, Kampoeng Kidz, Air Panas Cangar, Eco Green Park, Predator Fun Park, Wana Wisata Coban Rais, Gunung Banyak, Mahajaya T-Shirt & Oleh-oleh, Ngliyep and Bendungan Selorejo; Group 5: Vihara “Dammadhipa Arama”, Rafting “Kaliwatu”, Batu Rafting, Wana Wisata Coban Talun, Pemandian Tirta Nirwana, Pemandian Air Panas Alam Songgoriti, Wonderland Waterpark, Sahabat Air Rafting, Petik Apel Mandiri, Batu Agro Apel, Kampung Wisata.

The Local Antimagic On Disjoint Union of Some Family Graphs Marsidi Marsidi; Ika Hesti Agustin
Jurnal Matematika MANTIK Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

A graph in this paper is nontrivial, finite, connected, simple, and undirected. Graph consists of a vertex set and edge set. Let u,v be two elements in vertex set, and q is the cardinality of edge set in G, a bijective function from the edge set to the first q natural number is called a vertex local antimagic edge labelling if for any two adjacent vertices and , the weight of is not equal with the weight of , where the weight of (denoted by ) is the sum of labels of edges that are incident to . Furthermore, any vertex local antimagic edge labelling induces a proper vertex colouring on where is the colour on the vertex . The vertex local antimagic chromatic number is the minimum number of colours taken over all colourings induced by vertex local antimagic edge labelling of . In this paper, we discuss about the vertex local antimagic chromatic number on disjoint union of some family graphs, namely path, cycle, star, and friendship, and also determine the lower bound of vertex local antimagic chromatic number of disjoint union graphs. The chromatic numbers of disjoint union graph in this paper attend the lower bound.

Lemma Schanuel di Modul P-Miskin Iqbal Maulana
Jurnal Matematika MANTIK Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Modules are a generalization of the vector spaces of linear algebra in which the “scalars” are allowed to be from a ring with identity, rather than a field. In module theory there is a concept about projective module, i.e. a module over ring R in which it is projective module relative to all modules over ring R. Next, there is the fact that every module over ring R is projective module relative to all semisimple modules over ring R. If P is a module over ring R which it’s projective relative only to all semisimple modules over ring R, then P is called p-poor module. In the discussion of the projective module, there is a lemma associated with the equivalence of two modules K1 and K2 provided that there are two projective modules P1 and P2 such that is isomorphic to . That lemma is known as Schanuel’s lemma in projective modules. Because the p-poor module is a special case of the projective module, then in this paper will be discussed about Schanuel’s lemma in p-poor modules

K-Nearest Neighbor untuk Pengenalan karakter tulisan arab Muhammad Athoillah
Jurnal Matematika MANTIK Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Handwritten text recognition is the ability of a system to recognize human handwritten and convert it into digital text. Handwritten text recognition is a form of classification problem, so a classification algorithm such as Nearest Neighbor (NN) is needed to solve it. NN algorithms is a simple algorithm yet provide a good result. In contrast with other algorithms that usually determined by some hypothesis class, NN Algorithm finds out a label on any test point without searching for a predictor within some predefined class of functions. Arabic is one of the most important languages in the world. Recognizing Arabic character is very interesting research, not only it is a primary language that used in Islam but also because the number of this research is still far behind the number of recognizing handwritten Latin or Chinese research. Due to that's the background, this framework built a system to recognize handwritten Arabic Character from an image dataset using the NN algorithm. The result showed that the proposed method could recognize the characters very well confirmed by its average of precision, recall and accuracy.

Comparison of Kernel Function on Support Vector Machine in Classification of Childbirth Putroue Keumala Intan
Jurnal Matematika MANTIK Vol. 5 No. 2 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The maternal mortality rate during childbirth can be reduced through the efforts of the medical team in determining the childbirth process that must be undertaken immediately. Machine learning in terms of classifying childbirth can be a solution for the medical team in determining the childbirth process. One of the classification methods that can be used is the Support Vector Machine (SVM) method which is able to determine a hyperplane that will form a good decision boundary so that it is able to classify data appropriately. In SVM, there is a kernel function that is useful for solving non-linear classification cases by transforming data to a higher dimension. In this study, four kernel functions will be used; Linear, Radial Basis Function (RBF), Polynomial, and Sigmoid in the classification process of childbirth in order to determine the kernel function that is capable of producing the highest accuracy value. Based on research that has been done, it is obtained that the accuracy value generated by SVM with linear kernel functions is higher than the other kernel functions.

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Mathematics Department, Faculty of Science and Technology UIN Sunan Ampel Surabaya Jl. A. Yani no 117 Surabaya, Jawa Timur, Indonesia

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Jawa timur

INDONESIA