Search

Fuzzy Time Series (Fts) models are experiencing an increase in popularity due to their effectiveness in forecasting and modelling diverse and intricate time series data sets. Essentially these models use membership functions and fuzzy logic relation functions to produce predicted outputs through a defuzzification process. In this study, we suggested using a Second Order Type-1 fts (S-O T-1 F-T-S) forecasting model for the analysis of time series data sets. The suggested method was compared to the state-of-theart First Order Type 1 Fts method. The suggested approach demonstrated superior performance compared to the First Order Type 1 Fts method when applied to household consumption data from the Magene Regency in Indonesia, as measured by absolute percentage error rate (APER).

Education is a tool that is recognised as critical to attaining sustainability advancement. Although this was not stated explicitly, when it comes to Global Citizenship Education (GCE) focuses on educating people for enlightened engagement in sustainability advancement, especially unity for the peace of the world. As one of the basic subjects, through mathematics, teachers can promote unity through GCE among students. This research focuses on designing and developing a module for mathematics teachers as a guide to implementing unity through GCE in the mathematics classroom and identifying the students' awareness level of unity through Global Citizenship Education before and after the implementation of the lesson with five sample mathematics lesson plans. Design and Development Research (DDR) were used in this study to design and develop a lesson plan to convey Global Citizenship Education through the mathematics lesson. In order to determine the effectiveness of the lesson plan created for the GCE in mathematics, a questionnaire was distributed to the students both before and after the intervention. Ten mathematics teachers from the Muallim district were selected using stratified random sampling to conduct the lesson using the GCE lesson plan. A total of 350 students involved in the lesson were to answer the survey on unity. The results revealed that the module has a good validity value of 1.00. There is a significant difference between the pre and post-survey in promoting unity awareness among Form 1 students through mathematics. Therefore, implementing GCE in the education system could enhance the efficiency of the system and the quality of students to create unified global citizens. [ABSTRACT FROM AUTHOR]

Triangular fuzzy numbers (TFNs) are used to express the weights of criteria and alternatives to account for the ambiguity and uncertainty inherent to subjective evaluations. However, the proposed method can easily be extended to other fuzzy settings depending on the uncertainty facing managers and decision-makers. Triangular fuzzy number (TFN) is a critical component in building fuzzy models such as fuzzy regression and fuzzy autoregressive. Many symmetrical triangular fuzzy numbers have been proposed to improve the scale's linguistic accuracy. Additionally, Sturges' rule is a well-known approach to determining criteria or intervals of grouped data. However, some existing TFN methods are challenging despite being considered in building fuzzy regression models. The increase in electricity distribution is caused by the number of customers and the amount of installed capacity factors in Indonesia. The identified factors are uncertainty, inexactness, and random nature. This paper investigates the residential electricity distribution model using fuzzy regression time series. In the beginning step, the integration between conventional TFN and Sturges' rule was proposed to determine the criteria or scale of linguistic terms. The secondary data was collected from BPS Indonesia from 2000 to 2021. The dependent variable was denoted as electric power distribution (Y R T) . On the other hand, the number of customers and the amount of installed capacity were grouped as independent variables ( X P L and X K T ). The results showed that the best forecasting model is an FLR right upper limit without constant. This proposed model also has higher MAPE accuracy at 1.44% compared to classical models. Additionally, the proposed triangular fuzzy number could improve the accuracy of the proposed model significantly. Interestingly, both dependent and independent factors were initially forecasted using a basic time series model, namely exponential smoothing. [ABSTRACT FROM AUTHOR]

The symmetry triangular fuzzy number has been developed to build fuzzy autoregressive models by using various approaches such as low-high data, integer number, measurement error, and standard deviation data. However, most of these approaches are not simulated and compared between ordinary least square and fuzzy optimization in parameter estimation. In this paper, we are interested in implementation of measurement error and standard deviation data in construction symmetry triangular fuzzy numbers. Additionally, both types of triangular fuzzy numbers are deployed to build a fuzzy autoregressive model, especially the second order. The simulation result showed that the fuzzy autoregressive model produced the smaller mean square error and average width if compared with the ordinary autoregressive model. In the implementation, the high accuracy was also achieved by the fuzzy autoregressive model in consumer goods stock prediction. From the simulation and implementation, the proposed fuzzy autoregressive model is a competent approach for upper and lower forecasts. [ABSTRACT FROM AUTHOR]

The antenna simulation is generally done manually where certain antenna parameters are changed by trial and error method until the desired performance is obtained. In this study, the E-shaped microstrip antenna was designed to work in wideband frequency using the Particle Swarm Optimization (PSO) algorithm. The E-shaped patch antenna with ground follows the subtraction size. The type of substrate used in this study is FR4 Epoxy with a relative dielectric constant value (r) = 4.6 and thickness (h) = 1.6 mm. Feeding technique used in the connector is a probe feed technique to get matching impedance that matches the impedance of the connector which is 50 ohms. The working frequency of the E-shaped microstrip antenna after the use of the PSO algorithm generated bandwidth of 295 MHz with a working frequency of 340-635 MHz. From several stages of optimization performed, an ideal gain is obtained in accordance with the characteristics of the E-shaped antenna, where the resulting gain is 3.246 dBi. The characteristic obtained is omnidirectional, where the donut-shaped radiation pattern with the direction of the wave is in all directions. [ABSTRACT FROM AUTHOR]