{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T17:39:51Z","timestamp":1776361191904,"version":"3.51.2"},"reference-count":31,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2019,11,6]],"date-time":"2019-11-06T00:00:00Z","timestamp":1572998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100014911","name":"Ministry of Defence of the Czech Republic","doi-asserted-by":"publisher","award":["DZRO- K217"],"award-info":[{"award-number":["DZRO- K217"]}],"id":[{"id":"10.13039\/501100014911","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi-    H v    -ideals as a generalization of fuzzy     H v    -ideals. Moreover, we introduce the concept of generalized fuzzy multi-    H v    -ideals as a generalization of generalized fuzzy     H v    -ideals. Finally, we investigate the properties of these new concepts and present different examples.<\/jats:p>","DOI":"10.3390\/sym11111376","type":"journal-article","created":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T06:52:36Z","timestamp":1573109556000},"page":"1376","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4243-7935","authenticated-orcid":false,"given":"Madeline","family":"Al Tahan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Lebanese International University, 1803 Beirut, Lebanon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3305-529X","authenticated-orcid":false,"given":"Sarka","family":"Hoskova-Mayerova","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 66210 Brno, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bijan","family":"Davvaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yazd University, 89136 Yazd, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,6]]},"reference":[{"key":"ref_1","unstructured":"Marty, F. 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