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All Journal MATEMATIKA Journal of Fundamental Mathematics and Applications Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya Prosiding Seminar Nasional Official Statistics
Aulia, Lathifatul
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Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Social Sciences

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PENDEKATAN VALUE BILANGAN TRAPEZOIDAL FUZZY DALAM METODE MAGNITUDE Aulia, Lathifatul; Irawanto, Bambang; Surarso, Bayu
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1054.25 KB)

Abstract

Defuzzification is the process to transform fuzzy numbers into real numbers (crisp). There are some defuzzification methods which can be used to confirm the fuzzy numbers. However, different defuzzification methods produce different real numbers (crisp) too. In this paper, we discuss about Magnitude method, that is an approachment method which can be used in the defuzzification of trapezoidal fuzzy numbers. The defuzzification method  in the calculation considers average between the value of trapezoidal fuzzy numbers and the middle point of two defuzzifier trapezoidal fuzzy numbers
MODELING PREDICTIVE TRACKING CONTROL FOR MAX-PLUS LINEAR SYSTEMS IN MANUFACTURING Lathifatul Aulia; Widowati Widowati; R. Heru Tjahjana; Sutrisno Sutrisno
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 2 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (491.691 KB) | DOI: 10.14710/jfma.v3i2.8605

Abstract

Discrete event systems, also known as DES, are class of system that can be applied to systems having an event that occurred instantaneously and may change the state. It can also be said that a discrete event system occurs under certain conditions for a certain period because of the network that describes the process flow or sequence of events. Discrete event systems belong to class of nonlinear systems in classical algebra. Based on this situation, it is necessary to do some treatments, one of which is linearization process. In the other hand, a Max-Plus Linear system is known as a system that produces linear models. This system is a development of a discrete event system that contains synchronization when it is modeled in Max-Plus Algebra. This paper discusses the production system model in manufacturing industries where the model pays the attention into the process flow or sequence of events at each time step. In particular, Model Predictive Control (MPC) is a popular control design method used in many fields including manufacturing systems. MPC for Max-Plus-Linear Systems is used here as the approach that can be used to model the optimal input and output sequences of discrete event systems. The main advantage of MPC is its ability to provide certain constraints on the input and output control signals. While deciding the optimal control value, a cost criterion is minimized by determining the optimal time in the production system that modeled as a Max-Plus Linear (MPL) system. A numerical experiment is performed in the end of this paper for tracking control purposes of a production system. The results were good that is the controlled system showed a good performance.
Pendekatan Momen untuk Metode Magnitude pada Bilangan Trapezoidal Fuzzy Lathifatul Aulia; Bambang Irawanto; Bayu Surarso
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2018: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

Teori himpunan fuzzy banyak diterapkan dalam berbagai disiplin ilmu. Para ahli telah banyak yang mengusulkan beberapa pendekatan untuk memecahkan masalah yang menggunakan himpunan bilangan fuzzy. Hal utama yang perlu dilakukan dalam menyelesaikan suatu permasalahan yang menggunakan bilangan fuzzy yaitu defuzzifikasi. Defuzzifikasi merupakan proses mentransformasikan bilangan fuzzy menjadi bilangan riil tegas atau disebut dengan penegasan bilangan fuzzy. Ada beberapa metode yang dapat digunakan untuk menegaskan suatu bilangan fuzzy. Setiap metode penegasan bilangan fuzzy yang berbeda akan menghasilkan bilangan tegas (crisp) yang berbeda pula. Pada tulisan ini, dibahas metode Magnitude yaitu merupakan metode pendekatan yang ditunjukkan dengan perhitungan momen daerah rata-rata yang mempertimbangkan fungsi keanggotaan bilangan fuzzy, penyebaran fungsi kenggotaan kanan, dan fungsi keanggotaan kiri pada beberapa potongan –
Forecasting Palm Oil Production Using Fuzzy Time Forecasting Two-Factor Cross Associations with Frequency Density Partitions Ratri Wulandari; Lathifatul Aulia
Seminar Nasional Official Statistics Vol 2022 No 1 (2022): Seminar Nasional Official Statistics 2022
Publisher : Politeknik Statistika STIS

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (376.105 KB) | DOI: 10.34123/semnasoffstat.v2022i1.1103

Abstract

Economic decisions have many determining factors based on estimates of macroeconomic variables. The accuracy of decision estimates can have an important impact. Forecasting is a method to reducing uncertainty about the future, because of economic decisions have multi-factor problems, the high order fuzzy time series forecast method is more suitable than the first order fuzzy time series forecast. Predictions are made for main factors by taking influence from both factors. FLR reflects the relationship between the premise and consequence. In this paper will be discussed fuzzy time series forecasting multi-factor one order cross association based on frequency density partition as a forecasting method to forecast palm oil production with influenced by large of the area. The results of the estimates show that the proposed method has a high forecast performance, with AFER value is according to the AFER criteria table 10%, it can be concluded that the forecast has very good criteria
Co-Authors Bambang Irawanto Bayu Surarso Ratri Wulandari Redemtus Heru Tjahjana Sutrisno, Sutrisno Widowati, Widowati