{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:03:04Z","timestamp":1760241784964,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2018,8,20]],"date-time":"2018-08-20T00:00:00Z","timestamp":1534723200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The concept of a commutative generalized neutrosophic ideal in a     B C K    -algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in     B C K    -algebras are introduced, and some properties are investigated.<\/jats:p>","DOI":"10.3390\/sym10080350","type":"journal-article","created":{"date-parts":[[2018,8,20]],"date-time":"2018-08-20T11:23:06Z","timestamp":1534764186000},"page":"350","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Commutative Generalized Neutrosophic Ideals in BCK-Algebras"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7538-7885","authenticated-orcid":false,"given":"Rajab Ali","family":"Borzooei","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2320-0884","authenticated-orcid":false,"given":"Xiaohong","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shaanxi University of Science &amp; Technology, Xi\u2019an 710021, China"},{"name":"Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5560-5926","authenticated-orcid":false,"given":"Florentin","family":"Smarandache","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Young Bae","family":"Jun","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran"},{"name":"Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,8,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1767","DOI":"10.3233\/JIFS-17006","article-title":"Fuzzy anti-grouped filters and fuzzy normal filters in pseudo-BCI algebras","volume":"33","author":"Zhang","year":"2017","journal-title":"J. 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