{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:29:15Z","timestamp":1777703355449,"version":"3.51.4"},"reference-count":40,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2017,1,13]],"date-time":"2017-01-13T00:00:00Z","timestamp":1484265600000},"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: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2017,1,13]]},"abstract":"<jats:p>\n                    In this paper, we study the least strongly regular equivalence relation containing a given binary relation on a semihypergroup. Also, we discuss the least fuzzy strongly regular equivalence relation greater than or equal to a given fuzzy relation on a semihypergroup. As an application of the results of this paper, the fundamental relation \u03b2\n                    <jats:sup>\u2217<\/jats:sup>\n                    and the least fuzzy strongly regular equivalence relation\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                      <mml:msubsup>\n                        <mml:mi>\u03b2<\/mml:mi>\n                        <mml:mi>f<\/mml:mi>\n                        <mml:mo>\u2217<\/mml:mo>\n                      <\/mml:msubsup>\n                    <\/mml:math>\n                    on a semihypergroup are obtained. Furthermore, we respectively give descriptions of the greatest strongly regular equivalence relation contained in a given equivalence relation containing \u03b2\n                    <jats:sup>\u2217<\/jats:sup>\n                    and the greatest fuzzy strongly regular equivalence relation less than or equal to a given fuzzy equivalence relation greater than or equal to\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                      <mml:msubsup>\n                        <mml:mi>\u03b2<\/mml:mi>\n                        <mml:mi>f<\/mml:mi>\n                        <mml:mo>\u2217<\/mml:mo>\n                      <\/mml:msubsup>\n                    <\/mml:math>\n                    on a semihypergroup.\n                  <\/jats:p>","DOI":"10.3233\/jifs-151088","type":"journal-article","created":{"date-parts":[[2017,1,17]],"date-time":"2017-01-17T12:59:06Z","timestamp":1484657946000},"page":"75-83","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["(Fuzzy) strongly regular equivalence relations on semihypergroups"],"prefix":"10.1177","volume":"32","author":[{"given":"Ze","family":"Gu","sequence":"first","affiliation":[{"name":"Zhaoqing University","place":["P.R. 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