{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T20:57:13Z","timestamp":1769720233069,"version":"3.49.0"},"reference-count":59,"publisher":"SAGE Publications","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,8,1]]},"abstract":"<jats:p>Ideals play an essential part in studying ordered semigroups. There are several generalizations of ideals that are used to investigate ordered semigroups. It is known that (m, n)-ideals are an abstraction of bi-ideals, and n-interior ideals are an abstraction of interior ideals. This paper introduces a generality of (m, n)-ideals and n-interior ideals, so-called (\u03b1, \u03b2)-fuzzy (m, n)-ideals and (\u03b1, \u03b2)-fuzzy n-interior ideals. Furthermore, we discuss our current notions with those that already exist. We examine connections between (m, n)- (resp., n-interior) ideals and (\u03b1, \u03b2)-fuzzy (m, n)- (resp., n-interior) ideals. A characterization of (\u03b1, \u03b2)-fuzzy (m, n)- (resp., n-interior) ideals, by a particular product, in ordered semigroups is provided. We demonstrate that our results generalize the known results through specific settings.<\/jats:p>","DOI":"10.3233\/jifs-224255","type":"journal-article","created":{"date-parts":[[2023,5,30]],"date-time":"2023-05-30T11:15:28Z","timestamp":1685445328000},"page":"2367-2380","source":"Crossref","is-referenced-by-count":0,"title":["Characterizations of generalized fuzzy ideals in ordered semigroups"],"prefix":"10.1177","volume":"45","author":[{"given":"Bijan","family":"Davvaz","sequence":"first","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd, Iran"}]},{"given":"Ronnason","family":"Chinram","sequence":"additional","affiliation":[{"name":"Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, Thailand"}]},{"given":"Somsak","family":"Lekkoksung","sequence":"additional","affiliation":[{"name":"Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen, Thailand"}]},{"given":"Nareupanat","family":"Lekkoksung","sequence":"additional","affiliation":[{"name":"Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen, Thailand"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-224255_ref1","doi-asserted-by":"crossref","first-page":"1564","DOI":"10.3390\/sym14081564","article-title":"On new filters in ordered semigroups","volume":"14","author":"Al-Tahan","year":"2022","journal-title":"Symmetry"},{"key":"10.3233\/JIFS-224255_ref2","doi-asserted-by":"crossref","first-page":"9","DOI":"10.12988\/pms.2022.91283","article-title":"Soft characterisations of regular ordered semigroups","volume":"11","author":"Alfran","year":"2022","journal-title":"Pure Math. 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