Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules

The Wang–Mendel (WM) method is one of the earliest methods to learn fuzzy If-Then rules from data. In this article, the WM method is used to generate fuzzy If-Then rules for a zero-order Takagi–Sugeno–Kang (TSK) fuzzy inference system (FIS) from a set of multi-attribute monotone data. Convex and nor...

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Main Authors: Teh, Chin Ying, Tay, Kai Meng, Lim, Cheepeng
Format: Book Section
Language:English
Published: Springer 2017
Subjects:
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spelling unimas-157552017-04-12T02:55:27Z http://ir.unimas.my/15755/ Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules Teh, Chin Ying Tay, Kai Meng Lim, Cheepeng QA Mathematics The Wang–Mendel (WM) method is one of the earliest methods to learn fuzzy If-Then rules from data. In this article, the WM method is used to generate fuzzy If-Then rules for a zero-order Takagi–Sugeno–Kang (TSK) fuzzy inference system (FIS) from a set of multi-attribute monotone data. Convex and normal trapezoid fuzzy sets are used as fuzzy membership functions. Besides that, a strong fuzzy partition strategy is used. Our empirical analysis shows that a set of multi-attribute monotone data may lead to non-monotone fuzzy If-Then rules. The same observation can be made, empirically, using adaptive neuro-fuzzy inference system (ANFIS), a well-known and popular FIS model with neural learning capability. This finding is important for the modeling of a monotone FIS model, because it shows that even with a “clean” data set pertaining to a monotone system, the generated fuzzy If-Then rules may need to be preprocessed, before being used for FIS modeling. In short, it is imperative to develop methods for preprocessing non-monotone fuzzy rules from data, e.g., monotone fuzzy rules relabeling, or removing non-monotone fuzzy rules, is important (and is potentially necessary) during the course of developing data-driven FIS models. Springer 2017 Book Section PeerReviewed text en http://ir.unimas.my/15755/1/Monotone%20Data%20Samples%20Do%20Not%20Always%20%28abstract%29.pdf Teh, Chin Ying and Tay, Kai Meng and Lim, Cheepeng (2017) Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules. In: Emerging Trends in Neuro Engineering and Neural Computation. Series in BioEngineering, 1 . Springer, Singapore, pp. 255-264. ISBN 978-981-10-3955-3 https://link.springer.com/chapter/10.1007/978-981-10-3957-7_15 DOI 10.1007/978-981-10-3957-7_15
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Sarawak
building UNIMAS Institutional Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Teh, Chin Ying
Tay, Kai Meng
Lim, Cheepeng
Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules
description The Wang–Mendel (WM) method is one of the earliest methods to learn fuzzy If-Then rules from data. In this article, the WM method is used to generate fuzzy If-Then rules for a zero-order Takagi–Sugeno–Kang (TSK) fuzzy inference system (FIS) from a set of multi-attribute monotone data. Convex and normal trapezoid fuzzy sets are used as fuzzy membership functions. Besides that, a strong fuzzy partition strategy is used. Our empirical analysis shows that a set of multi-attribute monotone data may lead to non-monotone fuzzy If-Then rules. The same observation can be made, empirically, using adaptive neuro-fuzzy inference system (ANFIS), a well-known and popular FIS model with neural learning capability. This finding is important for the modeling of a monotone FIS model, because it shows that even with a “clean” data set pertaining to a monotone system, the generated fuzzy If-Then rules may need to be preprocessed, before being used for FIS modeling. In short, it is imperative to develop methods for preprocessing non-monotone fuzzy rules from data, e.g., monotone fuzzy rules relabeling, or removing non-monotone fuzzy rules, is important (and is potentially necessary) during the course of developing data-driven FIS models.
format Book Section
author Teh, Chin Ying
Tay, Kai Meng
Lim, Cheepeng
author_facet Teh, Chin Ying
Tay, Kai Meng
Lim, Cheepeng
author_sort Teh, Chin Ying
title Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules
title_short Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules
title_full Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules
title_fullStr Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules
title_full_unstemmed Monotone Data Samples Do Not Always Generate Monotone Fuzzy If-Then Rules
title_sort monotone data samples do not always generate monotone fuzzy if-then rules
publisher Springer
publishDate 2017
url http://ir.unimas.my/15755/
http://ir.unimas.my/15755/
http://ir.unimas.my/15755/
http://ir.unimas.my/15755/1/Monotone%20Data%20Samples%20Do%20Not%20Always%20%28abstract%29.pdf
first_indexed 2018-09-06T16:24:31Z
last_indexed 2018-09-06T16:24:31Z
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