{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:44:45Z","timestamp":1777704285116,"version":"3.51.4"},"reference-count":34,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2020,3,11]],"date-time":"2020-03-11T00:00:00Z","timestamp":1583884800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,4,30]]},"abstract":"<jats:p>\n                    In this manuscript, we present numerical solutions of a\n                    <jats:italic>p<\/jats:italic>\n                    -fuzzy system that models the Goodwin economic cycle. This model describes the dynamic interaction between labour share and the employment rate in an economy. One can use\n                    <jats:italic>p<\/jats:italic>\n                    -fuzzy systems to obtain solutions for differential equations whose the vector field are uncertain and partially known. The proposed\n                    <jats:italic>p<\/jats:italic>\n                    -fuzzy system is based on a fuzzy rule-based systems whose fuzzy rules represent economic premises described in the Goodwin model. We use two approaches to adjust the fuzzy terms of the corresponding fuzzy rule base from the economical data of a given country. The first approach is based on statical measures and the second one uses fuzzy c-means clustering method. Finally, we test our proposal to estimate the growth cycles of the labour share and the employment rate of Germany and we compare the obtained results with the historical data.\n                  <\/jats:p>","DOI":"10.3233\/jifs-182762","type":"journal-article","created":{"date-parts":[[2020,3,13]],"date-time":"2020-03-13T13:04:51Z","timestamp":1584104691000},"page":"4079-4090","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Goodwin economic cycle via\n                    <i>p<\/i>\n                    -fuzzy system"],"prefix":"10.1177","volume":"38","author":[{"given":"Daniel Eduardo","family":"S\u00e1nchez","sequence":"first","affiliation":[{"name":"Center of Basic Science Teaching for Engineering, Faculty of Engineering Sciences, University Austral of Chile, Valdivia, Los R\u00edos, Chile"},{"name":"Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Estev\u00e3o","family":"Esmi","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"La\u00e9cio Carvalho","family":"de Barros","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Campinas, Campinas, S\u00e3o Paulo, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alessandro Donadio","family":"Miebach","sequence":"additional","affiliation":[{"name":"Department of Economics and International Relations, Federal University of Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moiseis dos Santos","family":"Cecconello","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Federal University of Mato Grosso, Cuiab\u00e1, Mato Grosso, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,3,11]]},"reference":[{"key":"e_1_3_2_2_2","unstructured":"AMECO Database of the European Commission\u2019s Directorate General for Economic and Financial Affairs. 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