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However, usually it has a low accuracy, which can be a result of the omission of many secondary phenomena in its description. In this paper we propose a new approach to the modelling of weakly nonlinear dynamic systems. In this approach we assume that the model of the weakly nonlinear system is composed of two parts: a linear term and a separate nonlinear correction term. The elements of the correction term are described by fuzzy rules which are designed in such a way as to minimize the inaccuracy resulting from the use of an approximate linear model. This gives us very rich possibilities for exploring and interpreting the operation of the modelled system. An important advantage of the proposed approach is a set of new interpretability criteria of the knowledge represented by fuzzy rules. Taking them into account in the process of automatic model selection allows us to reach a compromise between the accuracy of modelling and the readability of fuzzy rules.<\/jats:p>","DOI":"10.1515\/amcs-2016-0042","type":"journal-article","created":{"date-parts":[[2016,9,30]],"date-time":"2016-09-30T07:47:30Z","timestamp":1475221650000},"page":"603-621","source":"Crossref","is-referenced-by-count":41,"title":["A new approach to nonlinear modelling of dynamic systems based on fuzzy rules"],"prefix":"10.61822","volume":"26","author":[{"given":"\u0141ukasz","family":"Bartczuk","sequence":"first","affiliation":[{"name":"Institute of Computational Intelligence, Cz\u0119stochowa University of Technology, ul. Armii Krajowej 36, 42-200 Cz\u0119stochowa, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrzej","family":"Przyby\u0142","sequence":"additional","affiliation":[{"name":"Institute of Computational Intelligence, Cz\u0119stochowa University of Technology, ul. Armii Krajowej 36, 42-200 Cz\u0119stochowa, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Krzysztof","family":"Cpa\u0142ka","sequence":"additional","affiliation":[{"name":"Institute of Computational Intelligence, Cz\u0119stochowa University of Technology, ul. Armii Krajowej 36, 42-200 Cz\u0119stochowa, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"37438","published-online":{"date-parts":[[2016,9,29]]},"reference":[{"key":"2021040914353172856_j_amcs-2016-0042_ref_001_w2aab2b8c26b1b7b1ab1ab1Aa","doi-asserted-by":"crossref","unstructured":"Adjrad, M. and Belouchrani, A. (2007). Estimation of multicomponent polynomial-phase signals impinging on a multisensor array using state-space modeling, IEEE Transactions on Signal Processing55(1): 32\u201345.","DOI":"10.1109\/TSP.2006.882055"},{"key":"2021040914353172856_j_amcs-2016-0042_ref_002_w2aab2b8c26b1b7b1ab1ab2Aa","doi-asserted-by":"crossref","unstructured":"Angelov, P.P., Filev, D.P. 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