Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property

Even though the importance of the local monotonicity property for function approximation problems is well established, there are relative few investigations addressing issues related to the fulfillment of the local monotonicity property in Fuzzy Inference System (FIS) modeling. We have previously co...

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Main Authors: Chin, Ying Teh, Tay, Kai Meng, Chee, Peng Lim
Format: Article
Language:English
Published: IEEE 2013
Subjects:
Online Access:http://ir.unimas.my/id/eprint/16564/
http://ir.unimas.my/id/eprint/16564/1/Interval-based.pdf
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author Chin, Ying Teh
Tay, Kai Meng
Chee, Peng Lim
author_facet Chin, Ying Teh
Tay, Kai Meng
Chee, Peng Lim
author_sort Chin, Ying Teh
building UNIMAS Institutional Repository
collection Online Access
description Even though the importance of the local monotonicity property for function approximation problems is well established, there are relative few investigations addressing issues related to the fulfillment of the local monotonicity property in Fuzzy Inference System (FIS) modeling. We have previously conducted a preliminary study on the local monotonicity property of FIS models, with the assumption that the extrema point(s) (i.e., the maximum and/or minimum point(s)) is either known precisely or totally unknown. However, in some practical situations, the extrema point(s) can be known imprecisely (as an interval or a fuzzy set). In this paper, the imprecise information is exploited to construct an FIS model that fulfills the local monotonicity property. A procedure to estimate the extrema point(s) of a function is devised. Applicability of the findings to a data-driven modeling problem is further demonstrated.
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spelling unimas-165642022-01-24T07:53:25Z http://ir.unimas.my/id/eprint/16564/ Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property Chin, Ying Teh Tay, Kai Meng Chee, Peng Lim TA Engineering (General). Civil engineering (General) Even though the importance of the local monotonicity property for function approximation problems is well established, there are relative few investigations addressing issues related to the fulfillment of the local monotonicity property in Fuzzy Inference System (FIS) modeling. We have previously conducted a preliminary study on the local monotonicity property of FIS models, with the assumption that the extrema point(s) (i.e., the maximum and/or minimum point(s)) is either known precisely or totally unknown. However, in some practical situations, the extrema point(s) can be known imprecisely (as an interval or a fuzzy set). In this paper, the imprecise information is exploited to construct an FIS model that fulfills the local monotonicity property. A procedure to estimate the extrema point(s) of a function is devised. Applicability of the findings to a data-driven modeling problem is further demonstrated. IEEE 2013 Article PeerReviewed text en http://ir.unimas.my/id/eprint/16564/1/Interval-based.pdf Chin, Ying Teh and Tay, Kai Meng and Chee, Peng Lim (2013) Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property. 2013 IEEE International Conference on Fuzzy Systems (FUZZ). ISSN 1098-7584 (Print) http://ieeexplore.ieee.org/document/6622347/ DOI: 10.1109/FUZZ-IEEE.2013.6622347
spellingShingle TA Engineering (General). Civil engineering (General)
Chin, Ying Teh
Tay, Kai Meng
Chee, Peng Lim
Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
title Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
title_full Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
title_fullStr Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
title_full_unstemmed Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
title_short Interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
title_sort interval-based and fuzzy set-based approaches to modeling of fuzzy inference systems with the local monotonicity property
topic TA Engineering (General). Civil engineering (General)
url http://ir.unimas.my/id/eprint/16564/
http://ir.unimas.my/id/eprint/16564/
http://ir.unimas.my/id/eprint/16564/
http://ir.unimas.my/id/eprint/16564/1/Interval-based.pdf