Optimizing Fuzzy Rule Generation: A Grid Partitioning and Rough Set Method Approach for Enhanced Accuracy and Interpretability
DOI:
https://doi.org/10.35335/emod.v13i1.7Keywords:
Fuzzy rule generation, Grid partitioning, Rough set method, Accuracy, InterpretabilityAbstract
This research focuses on optimizing fuzzy rule generation through the application of grid partitioning and rough set method, with the aim of enhancing both accuracy and interpretability. The proposed mathematical model addresses the challenge of generating accurate and interpretable fuzzy rule sets, particularly in the context of credit risk assessment. By utilizing grid partitioning, the input space is divided into regions, while the rough set method is employed to identify relevant features. The results show improved accuracy in classifying loan applicants into low-risk and high-risk categories, accompanied by enhanced interpretability through the generation of clear and understandable rules. The model's applicability extends to credit risk assessment and offers potential for further refinement and research. However, it is crucial to consider certain limitations, including the generalizability of results, sensitivity to grid partitioning, and the trade-off between accuracy and interpretability. In conclusion, the proposed model exhibits promise in generating accurate and interpretable fuzzy rule sets, thereby contributing to effective decision-making processes across diverse domains.
References
Ahmed, M. M., & Isa, N. A. M. (2017). Knowledge base to fuzzy information granule: A review from the interpretability-accuracy perspective. Applied Soft Computing, 54, 121-140.
Amin, A., Anwar, S., Adnan, A., Nawaz, M., Alawfi, K., Hussain, A., & Huang, K. (2017). Customer churn prediction in the telecommunication sector using a rough set approach. Neurocomputing, 237, 242-254.
Ang, K. K., & Quek, C. (2005). RSPOP: Rough set–based pseudo outer-product Fuzzy rule identification algorithm. Neural Computation, 17(1), 205-243.
Ang, K. K., & Quek, C. (2006). Stock trading using RSPOP: A novel rough set-based neuro-fuzzy approach. IEEE transactions on neural networks, 17(5), 1301-1315.
Ang, K. K., & Quek, C. (2006, July). Rough set-based neuro-fuzzy system. In The 2006 IEEE international joint conference on neural network proceedings (pp. 742-749). IEEE.
Berger, P. A. (2004). Rough set rule induction for suitability assessment. Environmental management, 34, 546-558.
Bhatt, R. B., & Gopal, M. (2005). On fuzzy-rough sets approach to feature selection. Pattern recognition letters, 26(7), 965-975.
Castillo, O., & Melin, P. (2012). A review on the design and optimization of interval type-2 fuzzy controllers. Applied Soft Computing, 12(4), 1267-1278.
Chen, F. L., & Li, F. C. (2010). Combination of feature selection approaches with SVM in credit scoring. Expert systems with applications, 37(7), 4902-4909.
Chen, T., Shen, Q., Su, P., & Shang, C. (2016). Fuzzy rule weight modification with particle swarm optimisation. Soft Computing, 20, 2923-2937.
Derrac, J., Cornelis, C., García, S., & Herrera, F. (2012). Enhancing evolutionary instance selection algorithms by means of fuzzy rough set based feature selection. Information Sciences, 186(1), 73-92.
Fernandez-Riverola, F., Díaz, F., & Corchado, J. M. (2006). Reducing the memory size of a fuzzy case-based reasoning system applying rough set techniques. IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews), 37(1), 138-146.
Gadaras, I., & Mikhailov, L. (2009). An interpretable fuzzy rule-based classification methodology for medical diagnosis. Artificial intelligence in medicine, 47(1), 25-41.
Gorzałczany, M. B., & Rudziński, F. (2016). A multi-objective genetic optimization for fast, fuzzy rule-based credit classification with balanced accuracy and interpretability. Applied Soft Computing, 40, 206-220.
Guillaume, S. (2001). Designing fuzzy inference systems from data: An interpretability-oriented review. IEEE Transactions on fuzzy systems, 9(3), 426-443.
Guillaume, S., & Charnomordic, B. (2003). A new method for inducing a set of interpretable fuzzy partitions and fuzzy inference systems from data. Interpretability issues in fuzzy modeling, 148-175.
Guillaume, S., & Charnomordic, B. (2004). Generating an interpretable family of fuzzy partitions from data. IEEE transactions on fuzzy systems, 12(3), 324-335.
Guliato, D., & de Sousa Santos, J. C. (2009). Granular computing and rough sets to generate fuzzy rules. In Image Analysis and Recognition: 6th International Conference, ICIAR 2009, Halifax, Canada, July 6-8, 2009. Proceedings 6 (pp. 317-326). Springer Berlin Heidelberg.
Hassanien, A. E., Abraham, A., Peters, J. F., Schaefer, G., & Henry, C. (2009). Rough sets and near sets in medical imaging: A review. IEEE Transactions on Information Technology in Biomedicine, 13(6), 955-968.
Herrera, L. J., Pomares, H., Rojas, I., Guilén, A., Awad, M., & González, J. (2005). Interpretable rule extraction and function approximation from numerical input/output data using the modified fuzzy TSK model, TaSe model. In Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing: 10th International Conference, RSFDGrC 2005, Regina, Canada, August 31-September 3, 2005, Proceedings, Part I 10 (pp. 402-411). Springer Berlin Heidelberg.
Herrera, L. J., Pomares, H., Rojas, I., Guilén, A., Awad, M., & González, J. (2005). Interpretable rule extraction and function approximation from numerical input/output data using the modified fuzzy TSK model, TaSe model. In Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing: 10th International Conference, RSFDGrC 2005, Regina, Canada, August 31-September 3, 2005, Proceedings, Part I 10 (pp. 402-411). Springer Berlin Heidelberg.
Ho, S. Y., Chen, H. M., Ho, S. J., & Chen, T. K. (2004). Design of accurate classifiers with a compact fuzzy-rule base using an evolutionary scatter partition of feature space. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 34(2), 1031-1044.
Inbarani, H. H., Bagyamathi, M., & Azar, A. T. (2015). A novel hybrid feature selection method based on rough set and improved harmony search. Neural Computing and Applications, 26, 1859-1880.
Jin, Y. (2000). Fuzzy modeling of high-dimensional systems: complexity reduction and interpretability improvement. IEEE Transactions on Fuzzy Systems, 8(2), 212-221.
Jin, Y., Von Seelen, W., & Sendhoff, B. (1999). On generating fc/sup 3/fuzzy rule systems from data using evolution strategies. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 29(6), 829-845.
Juang, C. F., & Chang, P. H. (2009). Designing fuzzy-rule-based systems using continuous ant-colony optimization. IEEE Transactions on Fuzzy Systems, 18(1), 138-149.
Juang, C. F., & Chen, C. Y. (2012). Data-driven interval type-2 neural fuzzy system with high learning accuracy and improved model interpretability. IEEE transactions on cybernetics, 43(6), 1781-1795.
Juang, C. F., & Hsu, C. H. (2009). Reinforcement ant optimized fuzzy controller for mobile-robot wall-following control. IEEE Transactions on Industrial Electronics, 56(10), 3931-3940.
Kang, S. J., Woo, C. H., Hwang, H. S., & Woo, K. B. (2000). Evolutionary design of fuzzy rule base for nonlinear system modeling and control. IEEE Transactions on Fuzzy Systems, 8(1), 37-45.
Liu, X., Wang, X., & Matwin, S. (2018, November). Improving the interpretability of deep neural networks with knowledge distillation. In 2018 IEEE International Conference on Data Mining Workshops (ICDMW) (pp. 905-912). IEEE.
Marwala, T., Lagazio, M., Marwala, T., & Lagazio, M. (2011). Particle Swarm Optimization and Hill-Climbing Optimized Rough Sets for Modeling Interstate Conflict. Militarized Conflict Modeling Using Computational Intelligence, 147-164.
Mitra, S., & Hayashi, Y. (2000). Neuro-fuzzy rule generation: survey in soft computing framework. IEEE transactions on neural networks, 11(3), 748-768.
Rojas, I., Pomares, H., Ortega, J., & Prieto, A. (2000). Self-organized fuzzy system generation from training examples. IEEE transactions on fuzzy systems, 8(1), 23-36.
Salleh, M. N. M., Talpur, N., & Hussain, K. (2017). Adaptive neuro-fuzzy inference system: Overview, strengths, limitations, and solutions. In Data Mining and Big Data: Second International Conference, DMBD 2017, Fukuoka, Japan, July 27–August 1, 2017, Proceedings 2 (pp. 527-535). Springer International Publishing.
Setnes, M., & Roubos, H. (2000). GA-fuzzy modeling and classification: complexity and performance. IEEE transactions on Fuzzy Systems, 8(5), 509-522.
Sharma, D. (2011). Designing and modeling fuzzy control Systems. International Journal of Computer Applications, 16(1), 46-53.
Sikder, I. U. (2016). A variable precision rough set approach to knowledge discovery in land cover classification. International Journal of Digital Earth, 9(12), 1206-1223.
Vluymans, S., D'eer, L., Saeys, Y., & Cornelis, C. (2015). Applications of Fuzzy Rough Set Theory in Machine Learning: a Survey. Fundam. Informaticae, 142(1-4), 53-86.
Wang, H., Kwong, S., Jin, Y., Wei, W., & Man, K. F. (2005). Multi-objective hierarchical genetic algorithm for interpretable fuzzy rule-based knowledge extraction. Fuzzy sets and systems, 149(1), 149-186.
Wang, X., Yang, J., Jensen, R., & Liu, X. (2006). Rough set feature selection and rule induction for prediction of malignancy degree in brain glioma. Computer methods and programs in biomedicine, 83(2), 147-156.
Yeh, C. C., Chi, D. J., & Lin, Y. R. (2014). Going-concern prediction using hybrid random forests and rough set approach. Information Sciences, 254, 98-110.
Yeh, C. C., Lin, F., & Hsu, C. Y. (2012). A hybrid KMV model, random forests and rough set theory approach for credit rating. Knowledge-Based Systems, 33, 166-172.
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Aisyah Alesha

This work is licensed under a Creative Commons Attribution 4.0 International License.
