{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T00:34:23Z","timestamp":1759970063989,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T00:00:00Z","timestamp":1735862400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61773406","2021JJ30877"],"award-info":[{"award-number":["61773406","2021JJ30877"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Hunan","award":["61773406","2021JJ30877"],"award-info":[{"award-number":["61773406","2021JJ30877"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["BDCC"],"abstract":"<jats:p>For many complex industrial applications, traditional attribute reduction algorithms are often inefficient in obtaining optimal reducts that align with mechanistic analyses and practical production requirements. To solve this problem, we propose a recursive attribute reduction algorithm that calculates the optimal reduct. First, we present the notion of priority sequence to describe the background meaning of attributes and evaluate the optimal reduct. Next, we define a necessary element set to identify the \u201cindividually necessary\u201d characteristics of the attributes. On this basis, a recursive algorithm is proposed to calculate the optimal reduct. Its boundary logic is guided by the conflict between the necessary element set and the core attribute set. The experiments demonstrate the proposed algorithm\u2019s uniqueness and its ability to enhance the prediction accuracy of the hot metal silicon content in blast furnaces.<\/jats:p>","DOI":"10.3390\/bdcc9010006","type":"journal-article","created":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T10:17:23Z","timestamp":1735899443000},"page":"6","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Recursive Attribute Reduction Algorithm and Its Application in Predicting the Hot Metal Silicon Content in Blast Furnaces"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-6813-8745","authenticated-orcid":false,"given":"Zhanqi","family":"Li","sequence":"first","affiliation":[{"name":"School of Electronic Information, Central South University, Changsha 410083, China"}]},{"given":"Pan","family":"Cheng","sequence":"additional","affiliation":[{"name":"School of Electronic Information, Central South University, Changsha 410083, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8137-1273","authenticated-orcid":false,"given":"Linzi","family":"Yin","sequence":"additional","affiliation":[{"name":"School of Electronic Information, Central South University, Changsha 410083, China"}]},{"given":"Yuyin","family":"Guan","sequence":"additional","affiliation":[{"name":"School of Electronic Information, Central South University, Changsha 410083, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"21816","DOI":"10.3934\/math.20241061","article-title":"Decision-making in diagnosing heart failure problems using basic rough sets","volume":"9","author":"Taher","year":"2024","journal-title":"AIMS Math."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/j.trit.2016.11.001","article-title":"A survey on rough set theory and its applications","volume":"1","author":"Zhang","year":"2016","journal-title":"CAAI Trans. 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