Zhou, Mou, Shang, Changjing, Li, Guobin, Shen, Liang, Naik, Nitin, Jin, Shangzhu, Peng, Jun and Shen, Qiang (2022). Transformation-Based Fuzzy Rule Interpolation With Mahalanobis Distance Measures Supported by Choquet Integral. IEEE Transactions on Fuzzy Systems ,
Abstract
Fuzzy rule interpolation (FRI) strongly supports approximate inference when a new observation matches no rules, through selecting and subsequently interpolating appropriate rules close to the observation from the given (sparse) rule base. Traditional ways of implementing the critical rule selection process are typically based on the exploitation of Euclidean distances between the observation and rules. It is conceptually straightforward for implementation but applying this distance metric may systematically lead to inferior results because it fails to reflect the variations of the relevance or significance levels amongst different domain features. To address this important issue, a novel transformation-based FRI approach is presented, on the basis of utilising the Mahalanobis distance metric. The new FRI method works by transforming a given sparse rule base into a coordinates system where the distance between instances of the same category becomes closer while that between different categories becomes further apart. In so doing, when an observation is present that matches no rules, the most relevant neighbouring rules to implement the required interpolation are more likely to be selected. Following this, the scale and move factors within the classical transformation-based FRI procedure are also modified by Choquet integral. Systematic experimental investigation over a range of classification problems demonstrates that the proposed approach remarkably outperforms the existing state-of-the-art FRI methods in both accuracy and efficiency.
Publication DOI: | https://doi.org/10.1109/TFUZZ.2022.3194368 |
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Divisions: | College of Engineering & Physical Sciences Aston University (General) |
Additional Information: | © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, 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 component of this work in other works. |
Uncontrolled Keywords: | Approximate inference,Cognition,Euclidean distance,Fuzzy sets,Interpolation,Measurement,Shape,Systematics,choquet integral,choquet integral approximate inference,fuzzy rule interpolation,mahalanobis distance,transformation -based FRI,,transformation -based FRI.,Control and Systems Engineering,Computational Theory and Mathematics,Artificial Intelligence,Applied Mathematics |
Publication ISSN: | 1941-0034 |
Last Modified: | 02 Dec 2024 08:42 |
Date Deposited: | 04 Aug 2022 10:44 |
Full Text Link: | |
Related URLs: |
https://ieeexpl ... ocument/9844833
(Publisher URL) https://pure.ab ... 4b908e801).html (Author URL) http://www.scop ... tnerID=8YFLogxK (Scopus URL) |
PURE Output Type: | Article |
Published Date: | 2022-07-29 |
Published Online Date: | 2022-07-29 |
Accepted Date: | 2022-07-01 |
Authors: |
Zhou, Mou
Shang, Changjing Li, Guobin Shen, Liang Naik, Nitin ( 0000-0002-0659-9646) Jin, Shangzhu Peng, Jun Shen, Qiang |