Interval type-2 A-intuitionistic fuzzy logic for regression problems

Eyoh, Imo; John, Robert; de Maere, Geert

Abstract

This paper presents an approach to prediction based on a new interval type-2 Atanassov-intuitionistic fuzzy logic system (IT2AIFLS) of Takagi-Sugeno-Kang (TSK) fuzzy inference with neural network learning capability. The gradient descent (GD) algorithm is used to adapt the parameters of the IT2AIFLS. The empirical comparison is made on the designed system using some benchmark regression problems - both artificial and real world datasets. Analyses of our results reveal that IT2AIFLS outperforms its type-1 variant, other type-1 fuzzy logic approaches and some type-2 fuzzy systems in the regression tasks. The reason for the improved performance of the proposed framework of IT2AIFLS is because of the introduction of non-membership functions and intuitionistic fuzzy indices into the classical IT2FLS model. This increases the level of fuzziness in the proposed IT2AIFLS framework, thus providing more accurate approximations than AIFLS, classical type-1 and interval type-2 fuzzy logic systems.

Citation

Eyoh, I., John, R., & de Maere, G. (2018). Interval type-2 A-intuitionistic fuzzy logic for regression problems. IEEE Transactions on Fuzzy Systems, 26(4), 2396-2408. https://doi.org/10.1109/TFUZZ.2017.2775599

• Journal Article Type: Article
• Acceptance Date: Nov 8, 2017
• Online Publication Date: Nov 20, 2017
• Publication Date: Aug 30, 2018
• Deposit Date: Nov 10, 2017
• Publicly Available Date: Nov 21, 2018
• Journal: IEEE Transactions on Fuzzy Systems
• Print ISSN: 1063-6706
• Electronic ISSN: 1941-0034
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 26
• Issue: 4
• Pages: 2396-2408
• DOI: https://doi.org/10.1109/TFUZZ.2017.2775599
• Keywords: Interval type-2 A-intuitionistic fuzzy logic system;Regression problems; Gradient descent algorithm
• Public URL: https://nottingham-repository.worktribe.com/output/895852
• Publisher URL: http://ieeexplore.ieee.org/document/8115302/
• Additional Information: c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
• Contract Date: Nov 10, 2017