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Optimization of Markov Weighted Fuzzy Time Series Forecasting Using Genetic Algorithm (GA) and Particle Swarm Optimization (PSO)

Authors :
Sugiyarto Surono
Khang Wen Goh
Choo Wou Onn
Afif Nurraihan
Nauval Satriani Siregar
A. Borumand Saeid
Tommy Tanu Wijaya
Source :
Emerging Science Journal, Vol 6, Iss 6, Pp 1375-1393 (2022)
Publication Year :
2022
Publisher :
Ital Publication, 2022.

Abstract

The Markov Weighted Fuzzy Time Series (MWFTS) is a method for making predictions based on developing a fuzzy time series (FTS) algorithm. The MWTS has overcome certain limitations of FTS, such as repetition of fuzzy logic relationships and weight considerations of fuzzy logic relationships. The main challenge of the MWFTS method is the absence of standardized rules for determining partition intervals. This study compares the MWFTS model to the partition methods Genetic Algorithm-Fuzzy K-Medoids clustering (GA-FKM) and Fuzzy K-Medoids clustering-Particle Swarm Optimization (FKM-PSO) to solve the problem of determining the partition interval and develop an algorithm. Optimal partition optimization. The GA optimization algorithm’s performance on GA-FKM depends on optimizing the clustering of FKM to obtain the most significant partition interval. Implementing the PSO optimization algorithm on FKM-PSO involves maximizing the interval length following the FKM procedure. The proposed method was applied to Anand Vihar, India’s air quality data. The MWFTS method combined with the GA-FKM partitioning method reduced the mean absolute square error (MAPE) from 17.440 to 16.85%. While the results of forecasting using the MWFTS method in conjunction with the FKM-PSO partition method were able to reduce the MAPE percentage from 9.78% to 7.58%, the MAPE percentage was still 9.78%. Initially, the root mean square error (RMSE) score for the GA-FKM partitioning technique was 48,179 to 47,01. After applying the FKM-PSO method, the initial RMSE score of 30,638 was reduced to 24,863. Doi: 10.28991/ESJ-2022-06-06-010 Full Text: PDF

Details

Language :
English
ISSN :
26109182
Volume :
6
Issue :
6
Database :
Directory of Open Access Journals
Journal :
Emerging Science Journal
Publication Type :
Academic Journal
Accession number :
edsdoj.44e084fd02f0410c8ef775ca73483009
Document Type :
article
Full Text :
https://doi.org/10.28991/ESJ-2022-06-06-010