{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:25:03Z","timestamp":1777703103234,"version":"3.51.4"},"reference-count":16,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2019,5,12]],"date-time":"2019-05-12T00:00:00Z","timestamp":1557619200000},"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":[[2019,6,11]]},"abstract":"<jats:p>\n                    In this paper, we introduce the notions of an almost\n                    <jats:italic>\u03c6<\/jats:italic>\n                    -fuzzy subalgebra and an almost\n                    <jats:italic>\u03c6<\/jats:italic>\n                    -fuzzy semi-ideal in groupoids by using the concept of a function. This concepts are generalizations of a fuzzy subalgebra and a fuzzy ideal in groupoids respectively. We discuss some relations between almost\n                    <jats:italic>\u03c6<\/jats:italic>\n                    -fuzzy subalgebras and vanishing, level subsets. By introducing the notions of (\n                    <jats:italic>\u03bc<\/jats:italic>\n                    ,\n                    <jats:italic>\u03c6<\/jats:italic>\n                    )-extremes,\n                    <jats:italic>e<\/jats:italic>\n                    -ideals, we obtain several properties of almost\n                    <jats:italic>\u03c6<\/jats:italic>\n                    -fuzzy subalgebras. The relations between almost\n                    <jats:italic>\u03c6<\/jats:italic>\n                    -fuzzy semi-ideals and (\n                    <jats:italic>\u03bc<\/jats:italic>\n                    ,\n                    <jats:italic>\u03c6<\/jats:italic>\n                    )-special elements are discussed. Finally we discuss fuzzy algebraic structures of almost\n                    <jats:italic>\u03c6<\/jats:italic>\n                    -fuzzy semi-ideals by diagrams.\n                  <\/jats:p>","DOI":"10.3233\/jifs-181220","type":"journal-article","created":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T11:40:15Z","timestamp":1558093215000},"page":"5361-5368","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Almost\n                    <i>\u03c6<\/i>\n                    -fuzzy semi-ideals in groupoids"],"prefix":"10.1177","volume":"36","author":[{"given":"Hee Sik","family":"Kim","sequence":"first","affiliation":[{"name":"Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph","family":"Neggers","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Alabama, Tuscaloosa, AL, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sun Shin","family":"Ahn","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, Dongguk University, Seoul, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,5,12]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"6","article-title":"Fuzzy upper bounds in groupoids","volume":"2014","author":"Ahn S.S.","year":"2014","unstructured":"S.S.Ahn, Y.H.Kim and J.Neggers, Fuzzy upper bounds in groupoids, The Scienctific World Journal 2014 (2014), 6. 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