{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T05:26:04Z","timestamp":1762665964732,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T00:00:00Z","timestamp":1762473600000},"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":"crossref","award":["12401607","12571507"],"award-info":[{"award-number":["12401607","12571507"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Basic Research Program of Jiangsu","award":["BK20241086"],"award-info":[{"award-number":["BK20241086"]}]},{"name":"Natural Science Foundation of the Jiangsu Higher Education Institutions of China","award":["24KJB110028"],"award-info":[{"award-number":["24KJB110028"]}]},{"name":"Research and Innovation Initiatives of WHPU","award":["2024Y26"],"award-info":[{"award-number":["2024Y26"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we investigate some properties of L-fuzzy ideals in MV-algebras from a new perspective by taking the completely distributive lattice L as the lattice-valued context. Firstly, we introduce the notion of the L-fuzzy ideal degree in an MV-algebra, which can illustrate the extent to which an L-fuzzy subset qualifies as an L-fuzzy ideal. Secondly, we further use four kinds of cut sets to characterize the L-fuzzy ideal degree. Furthermore, we show that the L-fuzzy ideal degree is precisely an L-fuzzy convex structure in an MV-algebra and discuss its related properties. Finally, we demonstrate that the collection of all L-fuzzy ideals in an MV-algebra forms an L-convex structure and present its L-convex hull formula.<\/jats:p>","DOI":"10.3390\/sym17111906","type":"journal-article","created":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T10:56:45Z","timestamp":1762513005000},"page":"1906","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A New Perspective on L-Fuzzy Ideals in MV-Algebras"],"prefix":"10.3390","volume":"17","author":[{"given":"Yanyan","family":"Dong","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Wu","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chenxi","family":"Qiu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1090\/S0002-9947-1939-1501995-3","article-title":"Residuated lattice","volume":"45","author":"Ward","year":"1939","journal-title":"Trans. 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