{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T17:39:25Z","timestamp":1757612365504,"version":"3.44.0"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,6,14]],"date-time":"2021-06-14T00:00:00Z","timestamp":1623628800000},"content-version":"vor","delay-in-days":164,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization. Also, we introduce different types of fuzzy prime ideals and establish existing relationships between them. We prove that any fuzzy maximal ideal is a fuzzy prime ideal in residuated lattice. Finally, we give and prove the fuzzy prime ideal theorem in residuated lattice.<\/jats:p>","DOI":"10.1155\/2021\/5569981","type":"journal-article","created":{"date-parts":[[2021,6,14]],"date-time":"2021-06-14T15:50:07Z","timestamp":1623685807000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Fuzzy Prime Ideal Theorem in Residuated Lattices"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3132-6874","authenticated-orcid":false,"given":"Pierre Carole","family":"Kengne","sequence":"first","affiliation":[]},{"given":"Blaise Bl\u00e9riot","family":"Koguep","sequence":"additional","affiliation":[]},{"given":"Celestin","family":"Lele","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,6,14]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5300-3"},{"key":"e_1_2_8_2_2","first-page":"475","article-title":"On fuzzy logic algebraic system MTL","volume":"5","author":"Zhang X. 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