FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES

Various fuzzy inference systems that operate on the basis of polynomial consequents of fuzzy rules. As well as inference methods for such systems, in particular, Takagi-Sugeno fuzzy inference systems, their differences from other popular fuzzy systems, such as Mamdani systems, etc., are considered....

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Autores principales:	R. Ponomarenko, A. Dyka
Formato:	article
Lenguaje:	EN
Publicado:	Astana IT University 2020
Materias:	fuzzy system, consequent of the fuzzy rule, higher-order fuzzy systems, fuzzy inference Information technology T58.5-58.64
Acceso en línea:	https://doaj.org/article/595fc36ae8a945809f8191195aea20ef
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spelling	oai:doaj.org-article:595fc36ae8a945809f8191195aea20ef2021-12-02T13:00:20ZFUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES2707-90312707-904Xhttps://doaj.org/article/595fc36ae8a945809f8191195aea20ef2020-03-01T00:00:00Zhttp://ojs.astanait.edu.kz/index.php/sjaitu/article/view/5https://doaj.org/toc/2707-9031https://doaj.org/toc/2707-904XVarious fuzzy inference systems that operate on the basis of polynomial consequents of fuzzy rules. As well as inference methods for such systems, in particular, Takagi-Sugeno fuzzy inference systems, their differences from other popular fuzzy systems, such as Mamdani systems, etc., are considered. The attention is focused on the features of the functioning of such systems both in the construction of elementary fuzzy systems. The Systems for which the calculation of the general logical conclusion involves intermediate levels of logical inference with many hierarchically interconnected blocks of fuzzy rules. Fuzzy sets of type 2 are considered, the membership index of which is a fuzzy term of the first type. This allows you to take into account the secondary fuzziness of linguistic concepts in the design of intelligent systems based on fuzzy inference. Fuzzy systems of the second type based on Takagi-Sugeno systems and the iterative Karnik-Mendel algorithm are considered to obtain a logical conclusion for fuzzy systems with the interval membership functions of the second type in the antecedents of fuzzy rules. The proposed procedure for lowering the order of fuzzy rules for higher-order Takagi-Sugeno fuzzy systems is described and justified. A fuzzy inference method for higher-order fuzzy systems based on the partition of a set of input variables is proposed. It is proposed to build a separate block of fuzzy rules for each of the input subspaces in the presence of a common polynomial. Which is a higher-order consequent, that reduces the total number of fuzzy rules in blocks.R. PonomarenkoA. DykaAstana IT Universityarticlefuzzy system, consequent of the fuzzy rule, higher-order fuzzy systems, fuzzy inferenceInformation technologyT58.5-58.64ENScientific Journal of Astana IT University, Vol 0, Iss 1, Pp 39-49 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	fuzzy system, consequent of the fuzzy rule, higher-order fuzzy systems, fuzzy inference Information technology T58.5-58.64
spellingShingle	fuzzy system, consequent of the fuzzy rule, higher-order fuzzy systems, fuzzy inference Information technology T58.5-58.64 R. Ponomarenko A. Dyka FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES
description	Various fuzzy inference systems that operate on the basis of polynomial consequents of fuzzy rules. As well as inference methods for such systems, in particular, Takagi-Sugeno fuzzy inference systems, their differences from other popular fuzzy systems, such as Mamdani systems, etc., are considered. The attention is focused on the features of the functioning of such systems both in the construction of elementary fuzzy systems. The Systems for which the calculation of the general logical conclusion involves intermediate levels of logical inference with many hierarchically interconnected blocks of fuzzy rules. Fuzzy sets of type 2 are considered, the membership index of which is a fuzzy term of the first type. This allows you to take into account the secondary fuzziness of linguistic concepts in the design of intelligent systems based on fuzzy inference. Fuzzy systems of the second type based on Takagi-Sugeno systems and the iterative Karnik-Mendel algorithm are considered to obtain a logical conclusion for fuzzy systems with the interval membership functions of the second type in the antecedents of fuzzy rules. The proposed procedure for lowering the order of fuzzy rules for higher-order Takagi-Sugeno fuzzy systems is described and justified. A fuzzy inference method for higher-order fuzzy systems based on the partition of a set of input variables is proposed. It is proposed to build a separate block of fuzzy rules for each of the input subspaces in the presence of a common polynomial. Which is a higher-order consequent, that reduces the total number of fuzzy rules in blocks.
format	article
author	R. Ponomarenko A. Dyka
author_facet	R. Ponomarenko A. Dyka
author_sort	R. Ponomarenko
title	FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES
title_short	FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES
title_full	FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES
title_fullStr	FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES
title_full_unstemmed	FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES
title_sort	fuzzy inference systems base on polynomial consequents of fuzzy rules
publisher	Astana IT University
publishDate	2020
url	https://doaj.org/article/595fc36ae8a945809f8191195aea20ef
work_keys_str_mv	AT rponomarenko fuzzyinferencesystemsbaseonpolynomialconsequentsoffuzzyrules AT adyka fuzzyinferencesystemsbaseonpolynomialconsequentsoffuzzyrules
_version_	1718393564313944064

FUZZY INFERENCE SYSTEMS BASE ON POLYNOMIAL CONSEQUENTS OF FUZZY RULES

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