{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:33:26Z","timestamp":1777703606123,"version":"3.51.4"},"reference-count":48,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2017,2,24]],"date-time":"2017-02-24T00:00:00Z","timestamp":1487894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2017,2,24]]},"abstract":"<jats:p>\n                    In this paper, we introduce the concept of interior \u0393-hyperideals of ordered \u0393-semihypergroups, which is a generalization of the concept of interior \u0393-hyperideals of \u0393-semihypergroups to ordered \u0393-semihypergroup theory, and investigate its related properties. Furthermore, we define and discuss the fuzzy interior \u0393-hyperideals of ordered \u0393-semihypergroups. In particular, we give the characterization of fuzzy interior \u0393-hyperideal generated by a fuzzy subset in an ordered \u0393-semihypergroup. In addition, we consider the concepts of (\n                    <jats:italic>\u03bb<\/jats:italic>\n                    ,\n                    <jats:italic>\u03bc<\/jats:italic>\n                    )-fuzzy \u0393-hyperideals and (\n                    <jats:italic>\u03bb<\/jats:italic>\n                    ,\n                    <jats:italic>\u03bc<\/jats:italic>\n                    )-fuzzy interior \u0393-hyperideals in ordered \u0393-semihypergroups. Finally, we introduce the notion of (\n                    <jats:italic>\u03bb<\/jats:italic>\n                    ,\n                    <jats:italic>\u03bc<\/jats:italic>\n                    )-fuzzy simple ordered \u0393-semihypergroups and prove that an ordered \u0393-semihypergroup is simple if and only if it is (\n                    <jats:italic>\u03bb<\/jats:italic>\n                    ,\n                    <jats:italic>\u03bc<\/jats:italic>\n                    )-fuzzy simple. Especially, characterization of simple ordered \u0393-semihypergroups in terms of (\n                    <jats:italic>\u03bb<\/jats:italic>\n                    ,\n                    <jats:italic>\u03bc<\/jats:italic>\n                    )-fuzzy interior \u0393-hyperideals is given.\n                  <\/jats:p>","DOI":"10.3233\/jifs-16431","type":"journal-article","created":{"date-parts":[[2017,2,28]],"date-time":"2017-02-28T11:39:40Z","timestamp":1488281980000},"page":"2447-2460","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["On fuzzy interior \u0393-hyperideals in\u00a0ordered\u00a0\u0393-semihypergroups"],"prefix":"10.1177","volume":"32","author":[{"given":"Jian","family":"Tang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Fuyang Normal University, Fuyang, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bijan","family":"Davvaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiang-Yun","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computational Science, Wuyi University, Jiangmen, P.R. 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