Implementation of Takagi Sugeno Kang Fuzzy with Rough Set Theory and Mini-Batch Gradient Descent Uniform Regularization

Sugiyarto Surono (Department of Mathematics, Ahmad Dahlan University, Yogyakarta,)
Zani Anjani Rafsanjani Hsm (Department of Mathematics, Ahmad Dahlan University, Yogyakarta,)
Deshinta Arrova Dewi (Faculty of Data Science and Information Technology, INTI International University, Nilai,)
Annisa Eka Haryati (Master of Mathematics Education, Ahmad Dahlan University, Yogyakarta,)
Tommy Tanu Wijaya (School of Mathematical Sciences, Beijing Normal University,)

Emerging Science Journal
Vol 7, No 3 (2023): June

The Takagi Sugeno Kang (TSK) fuzzy approach is popular since its output is either a constant or a function. Parameter identification and structure identification are the two key requirements for building the TSK fuzzy system. The input utilized in fuzzy TSK can have an impact on the number of rules produced in such a way that employing more data dimensions typically results in more rules, which causes rule complexity. This issue can be solved by employing a dimension reduction technique that reduces the number of dimensions in the data. After that, the resulting rules are improved with MBGD (Mini-Batch Gradient Descent), which is then altered with uniform regularization (UR). UR can enhance the classifier's fuzzy TSK generalization performance. This study looks at how the rough sets method can be used to reduce data dimensions and use Mini Batch Gradient Descent Uniform Regularization (MBGD-UR) to optimize the rules that come from TSK. 252 respondents' body fat data were utilized as the input, and the mean absolute percentage error (MAPE) was used to analyze the results. Jupyter Notebook software and the Python programming language are used for data processing. The analysis revealed that the MAPE value was 37%, falling into the moderate area. Doi: 10.28991/ESJ-2023-07-03-09 Full Text: PDF