{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:43:14Z","timestamp":1760402594175,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,14]],"date-time":"2020-01-14T00:00:00Z","timestamp":1578960000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573240"],"award-info":[{"award-number":["61573240"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA-hypergroups, regular LA-hypergroups. In particular, we introduce the notion of strong pure neutrosophic extended triplet LA-semihypergroup, get some special properties of it and prove the construction theorem about it under the condition of asymmetry. The examples in this paper are all from Python programs.<\/jats:p>","DOI":"10.3390\/sym12010163","type":"journal-article","created":{"date-parts":[[2020,1,15]],"date-time":"2020-01-15T03:20:22Z","timestamp":1579058422000},"page":"163","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups"],"prefix":"10.3390","volume":"12","author":[{"given":"Minghao","family":"Hu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shaanxi University of Science &amp; Technology, Xi\u2019an 710021, China"}]},{"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, 705 Gurley Avenue, Gallup, NM 87301, USA"}]},{"given":"Xiaohong","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shaanxi University of Science &amp; Technology, Xi\u2019an 710021, China"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,14]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"On almost semigroups","volume":"2","author":"Kazim","year":"1972","journal-title":"Aligarh Bull. 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