Reducing Computational Overhead by Improving the CRI and IRI Implication Step

In conventional SISO fuzzy expert systems (n-element input, m-element output), the implication step requires the O(n×m) operations using compositional rule-based inference (CRI) and individual rule-based inference (IRI). However, this introduces excessive complexity. This paper proposes two methods,...

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Main Authors: Thoai Phu Vo, Joy Iong-Zong Chen
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/725258
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author Thoai Phu Vo
Joy Iong-Zong Chen
author_facet Thoai Phu Vo
Joy Iong-Zong Chen
author_sort Thoai Phu Vo
collection DOAJ
description In conventional SISO fuzzy expert systems (n-element input, m-element output), the implication step requires the O(n×m) operations using compositional rule-based inference (CRI) and individual rule-based inference (IRI). However, this introduces excessive complexity. This paper proposes two methods, sort compositional rule-based inference (SCRI) and sort individual rule-based inference (SIRI) aiming at reducing both temporal and spatial complexity by changing the operation of the implication step to O((n+m)log2(n+m)). We also propose a divide-and-conquer technique, called Quicksort, to verify the accuracy of SCRI and SIRI algorithms deployment to easily outperform the CRI and IRI methods.
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spelling doaj-art-ae156be4005c43f6be5b19204fe67f9d2025-02-03T06:13:44ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/725258725258Reducing Computational Overhead by Improving the CRI and IRI Implication StepThoai Phu Vo0Joy Iong-Zong Chen1Department of Electrical Engineering, Dayeh University, No. 168, University Road, Changhua 51591, TaiwanDepartment of Electrical Engineering, Dayeh University, No. 168, University Road, Changhua 51591, TaiwanIn conventional SISO fuzzy expert systems (n-element input, m-element output), the implication step requires the O(n×m) operations using compositional rule-based inference (CRI) and individual rule-based inference (IRI). However, this introduces excessive complexity. This paper proposes two methods, sort compositional rule-based inference (SCRI) and sort individual rule-based inference (SIRI) aiming at reducing both temporal and spatial complexity by changing the operation of the implication step to O((n+m)log2(n+m)). We also propose a divide-and-conquer technique, called Quicksort, to verify the accuracy of SCRI and SIRI algorithms deployment to easily outperform the CRI and IRI methods.http://dx.doi.org/10.1155/2015/725258
spellingShingle Thoai Phu Vo
Joy Iong-Zong Chen
Reducing Computational Overhead by Improving the CRI and IRI Implication Step
Journal of Control Science and Engineering
title Reducing Computational Overhead by Improving the CRI and IRI Implication Step
title_full Reducing Computational Overhead by Improving the CRI and IRI Implication Step
title_fullStr Reducing Computational Overhead by Improving the CRI and IRI Implication Step
title_full_unstemmed Reducing Computational Overhead by Improving the CRI and IRI Implication Step
title_short Reducing Computational Overhead by Improving the CRI and IRI Implication Step
title_sort reducing computational overhead by improving the cri and iri implication step
url http://dx.doi.org/10.1155/2015/725258
work_keys_str_mv AT thoaiphuvo reducingcomputationaloverheadbyimprovingthecriandiriimplicationstep
AT joyiongzongchen reducingcomputationaloverheadbyimprovingthecriandiriimplicationstep