{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T14:39:36Z","timestamp":1788878376127,"version":"build-2803163510"},"reference-count":29,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,14]],"date-time":"2025-01-14T00:00:00Z","timestamp":1736812800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University Outstanding Youth Research Project in Anhui Province","award":["2022AH020082"],"award-info":[{"award-number":["2022AH020082"]}]},{"name":"University Outstanding Youth Research Project in Anhui Province","award":["2024 XTTZX M06"],"award-info":[{"award-number":["2024 XTTZX M06"]}]},{"name":"University Outstanding Youth Research Project in Anhui Province","award":["2021xxkc133"],"award-info":[{"award-number":["2021xxkc133"]}]},{"name":"Collaborative Quality Improvement Plan for Teacher Education Reform and Innovation Research","award":["2022AH020082"],"award-info":[{"award-number":["2022AH020082"]}]},{"name":"Collaborative Quality Improvement Plan for Teacher Education Reform and Innovation Research","award":["2024 XTTZX M06"],"award-info":[{"award-number":["2024 XTTZX M06"]}]},{"name":"Collaborative Quality Improvement Plan for Teacher Education Reform and Innovation Research","award":["2021xxkc133"],"award-info":[{"award-number":["2021xxkc133"]}]},{"name":"Provincial Quality Engineering Project of Higher Education Institutions in Anhui Province","award":["2022AH020082"],"award-info":[{"award-number":["2022AH020082"]}]},{"name":"Provincial Quality Engineering Project of Higher Education Institutions in Anhui Province","award":["2024 XTTZX M06"],"award-info":[{"award-number":["2024 XTTZX M06"]}]},{"name":"Provincial Quality Engineering Project of Higher Education Institutions in Anhui Province","award":["2021xxkc133"],"award-info":[{"award-number":["2021xxkc133"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Niche can reflect the changes in the quality of the ecological environment and the balance of ecological state. The more advanced the ecosystem, the more complex and higher-order nonlinearities and uncertainties that are presented. For such an uncertain parameter system with complex nonlinearity, backstepping fuzzy control is a good control method. When the backstepping control method is introduced into the Type-2 fuzzy T-S control principle, the equality index symmetry function composed of ecological factors is used as the backstepping control consequence, and the Lyapunov function is constructed to analyze the stability and find out the adaptive law of the ecological factors in the equality index symmetry function of the control consequence. This reflects that the individual organisms always develop in their own favorable direction, highlighting the bionic intelligent control of the method. Through simulation analysis, the Type-2 Backstepping control method is effective in stability and parameter tracking, which reflects the self-development ability and self-coordination ability of individual organisms, highlighting the physical background and symmetry of the bionic intelligent control of this method.<\/jats:p>","DOI":"10.3390\/sym17010121","type":"journal-article","created":{"date-parts":[[2025,1,14]],"date-time":"2025-01-14T11:28:31Z","timestamp":1736854111000},"page":"121","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Type-2 Backstepping T-S Fuzzy Bionic Control Based on Niche Symmetry Function"],"prefix":"10.3390","volume":"17","author":[{"given":"Yunli","family":"Hao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236041, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Maohua","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236041, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236041, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ziyue","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236041, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiangling","family":"Xiong","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236041, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"160374","DOI":"10.1016\/j.scitotenv.2022.160374","article-title":"Drying shapes the ecological niche of aquatic fungi with implications on ecosystem functioning","volume":"859","author":"Pascoal","year":"2023","journal-title":"Sci. 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