{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T13:42:10Z","timestamp":1765546930559},"reference-count":17,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2023,7]]},"abstract":"<jats:p> The aim of this paper is to generalize the results related to fuzzy filters of ordered semigroups. In this regard, the concept of fuzzy [Formula: see text]-filters of ordered semigroups is initiated, nontrivial examples are presented, and its properties are investigated. It is known that a fuzzy set of an ordered semigroup is a fuzzy filter if and only its complement is a fuzzy prime ideal. As a generalization of the latter result, it is proved that a fuzzy set of an ordered semigroup is a fuzzy [Formula: see text]-filter if and only if its complement is a prime generalized fuzzy [Formula: see text]-ideal. Furthermore, it is shown that in an [Formula: see text]-regular semigroup, fuzzy [Formula: see text]-filters and fuzzy bi-filters coincide. <\/jats:p>","DOI":"10.1142\/s1793005723500187","type":"journal-article","created":{"date-parts":[[2022,6,9]],"date-time":"2022-06-09T08:09:48Z","timestamp":1654762188000},"page":"489-502","source":"Crossref","is-referenced-by-count":4,"title":["On a Generalization of Fuzzy Filters of Ordered Semigroups"],"prefix":"10.1142","volume":"19","author":[{"given":"M.","family":"Al Tahan","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Abu Dhabi University, Abu Dhabi, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Davvaz","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Yazd University, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Mahboob","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517325, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N. 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