{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:42:16Z","timestamp":1760143336789,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T00:00:00Z","timestamp":1706659200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research at King Khalid University","award":["RGP. 2\/552\/44"],"award-info":[{"award-number":["RGP. 2\/552\/44"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This study employs the notions of t-norms and t-co-norms to define a group of T-neutrosophic sub-groups and normal T-neutrosophic subgroups. Furthermore, the different properties of these sub-groups have been investigated. After that, the t-norm and the t-co-norm were applied to the finite direct product of the group.<\/jats:p>","DOI":"10.3390\/axioms13020101","type":"journal-article","created":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T08:44:06Z","timestamp":1706690646000},"page":"101","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Neutrosophic Sub-Group over t-Norm and t-Co-Norm"],"prefix":"10.3390","volume":"13","author":[{"given":"Ali Yahya","family":"Hummdi","sequence":"first","affiliation":[{"name":"Department of Mathematics, King Khalid University, Abha 61471, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0165-4992","authenticated-orcid":false,"given":"Mohamed","family":"Abdalla","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amr","family":"Elrawy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,31]]},"reference":[{"key":"ref_1","unstructured":"Smarandache, F. 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Math."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1941","DOI":"10.3233\/IFS-151672","article-title":"An approach to neutrosophic subgroup and its fundamental properties","volume":"29","year":"2015","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"4540367","DOI":"10.1155\/2023\/4540367","article-title":"Some Results on Neutrosophic Group","volume":"2023","author":"Elrawy","year":"2023","journal-title":"J. Math."},{"key":"ref_12","first-page":"2273","article-title":"Investigation of a neutrosophic group","volume":"46","author":"Elrawy","year":"2024","journal-title":"Fuzzy Sets Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/0165-0114(87)90115-1","article-title":"On some product of fuzzy subgroups","volume":"24","author":"Osman","year":"1987","journal-title":"Fuzzy Sets Syst."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Klir, G., and Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Prentice Hall.","DOI":"10.1109\/45.468220"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/13\/2\/101\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T13:52:26Z","timestamp":1760104346000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/13\/2\/101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,31]]},"references-count":14,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2024,2]]}},"alternative-id":["axioms13020101"],"URL":"https:\/\/doi.org\/10.3390\/axioms13020101","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2024,1,31]]}}}