{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T14:59:00Z","timestamp":1770476340480,"version":"3.49.0"},"reference-count":40,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2018,7,9]],"date-time":"2018-07-09T00:00:00Z","timestamp":1531094400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/linproxy.fan.workers.dev:443\/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":[[2018,8,26]]},"abstract":"<jats:p>\n                    The semigroups have many applications in finite state machines, transformations etc. So, the abstract concept of neutrosophic cubic sets were required to be established in semigroups. This motivate the authors to present the idea of neutrosophic cubic semigroups and neutrosophic cubic points. In this work, we study the truth, indeterminacy and falsehood in algebraic structures and deduce some results. We generalize the concept of fuzzy points, intuitionistic fuzzy points and cubic points by introducing the concept of neutrosophic cubic points. Based on neutrosophic cubic points, we generalize the idea of (\n                    <jats:italic>\u03b1<\/jats:italic>\n                    ,\n                    <jats:italic>\u03b2<\/jats:italic>\n                    )-fuzzy ideals, (\n                    <jats:italic>\u03b1<\/jats:italic>\n                    ,\n                    <jats:italic>\u03b2<\/jats:italic>\n                    ) -intuitionistic fuzzy ideals and (\n                    <jats:italic>\u03b1<\/jats:italic>\n                    ,\n                    <jats:italic>\u03b2<\/jats:italic>\n                    )-cubic ideals in semigroups. Particularly, we give the idea of neutrosophic cubic (\u2208, \u2208 \u2228\n                    <jats:italic>q<\/jats:italic>\n                    )-ideals (resp., subsemigroups, generalized bi-ideals, bi-ideals, quasi-ideals, interior ideals, prime and semiprime ideals) of semigroups.\n                  <\/jats:p>","DOI":"10.3233\/jifs-18112","type":"journal-article","created":{"date-parts":[[2018,7,10]],"date-time":"2018-07-10T14:42:02Z","timestamp":1531233722000},"page":"2469-2483","update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["Neutrosophic cubic (\n                    <i>\u03b1<\/i>\n                    ,\n                    <i>\u03b2<\/i>\n                    )-ideals in semigroups with application"],"prefix":"10.1177","volume":"35","author":[{"given":"Majid","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hazara University, Mansehra, Pakistan"}]},{"given":"Muhammad","family":"Gulistan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hazara University, Mansehra, Pakistan"}]},{"given":"Naveed","family":"Yaqoob","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia"}]},{"given":"Muhammad","family":"Shabir","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"}]}],"member":"179","published-online":{"date-parts":[[2018,7,9]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(75)90036-5"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_5_2","first-page":"83","article-title":"Cubic sets","volume":"4","author":"Jun Y.B.","year":"2012","unstructured":"JunY.B., KimC.S. and YangK.O., Cubic sets, Ann Fuzzy Math Inform 4 (2012), 83\u201398.","journal-title":"Ann Fuzzy Math Inform"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.5831\/HMJ.2013.35.4.607"},{"key":"e_1_3_2_7_2","first-page":"239","article-title":"Cubic subalgebras and ideals of BCK\/BCI-algebras","volume":"44","author":"Jun Y.B.","year":"2010","unstructured":"JunY.B., KimC.S. and KangM.S., Cubic subalgebras and ideals of BCK\/BCI-algebras, Far East J Math Sci 44 (2010), 239\u2013250.","journal-title":"Far East J Math Sci"},{"key":"e_1_3_2_8_2","first-page":"25","article-title":"Cubic q-ideals of BCIalgebras","volume":"1","author":"Jun Y.B.","year":"2011","unstructured":"JunY.B., KimC.S. and KangJ.G., Cubic q-ideals of BCIalgebras, Ann Fuzzy Math Inform 1 (2011), 25\u201334.","journal-title":"Ann Fuzzy Math Inform"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.08.042"},{"key":"e_1_3_2_10_2","first-page":"3395","article-title":"Closed cubic ideals and cubicsubalgebras in BCK\/BCI-algebras","volume":"4","author":"Jun Y.B.","year":"2010","unstructured":"JunY.B. and LeeK.J., Closed cubic ideals and cubicsubalgebras in BCK\/BCI-algebras, Appl Math Sci 4 (2010), 3395\u20133402.","journal-title":"Appl Math Sci"},{"issue":"8","key":"e_1_3_2_11_2","first-page":"670","article-title":"Cubic aggregation operators","volume":"14","author":"Khan M.","year":"2016","unstructured":"KhanM., AbdullahS., ZebA. and MajidA., Cubic aggregation operators, J Comput Sci Inform Sec 14(8) (2016), 670\u2013682.","journal-title":"J Comput Sci Inform Sec"},{"key":"e_1_3_2_12_2","first-page":"1","article-title":"Multicriteria decision making based on cubic sets","volume":"16","author":"Mahmood T.","year":"2017","unstructured":"MahmoodT., AbdullahS. and BilalM., Multicriteria decision making based on cubic sets, J New Theory 16 (2017), 1\u20139.","journal-title":"J New Theory"},{"key":"e_1_3_2_13_2","article-title":"A unifying field in logics: Neutrosophic Logic","author":"Smarandache F.","year":"1999","unstructured":"SmarandacheF., A unifying field in logics: Neutrosophic Logic. 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