{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T23:34:53Z","timestamp":1763681693768,"version":"3.45.0"},"reference-count":27,"publisher":"Oxford University Press (OUP)","issue":"6","license":[{"start":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T00:00:00Z","timestamp":1763596800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,11,25]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>The paper we study covers several topics related to fuzzy sets and hyperlattices (HLs). Firstly, it begins by introducing the concept of fuzzy sets and how they differ from classical sets. It then goes on to discuss bipolar fuzzy (BF) sets, which extend the concept of fuzzy sets by defining each element with a degree of positivity and a degree of negativity. Next, fuzzy soft (FZS) sets, which combine the ideas of fuzzy sets and soft sets, are discussed. Soft sets are a generalization of classical sets that allow for elements to have degrees of membership. Fuzzy soft sets take this idea further by allowing for uncertainty in both the membership and non-membership of elements. The paper then turns its attention to HLs, which are a generalization of lattices that allow for the representation of more complex relationships between elements. Specifically, the paper focuses on fuzzy, soft hyperideals (HIDs) of HLs. HIDs are a generalization of the concept of ideals in algebra, and FZS HIDs allow for greater flexibility in the definition of these structures. The paper illustrates some examples of fuzzy soft HIDs in HLs. Finally, the paper introduces the concept of bipolar fuzzy soft (BFS) HIDs, which are a combination of HIDs and FZS HIDs in HLs.<\/jats:p>","DOI":"10.1093\/jigpal\/jzaf006","type":"journal-article","created":{"date-parts":[[2025,2,12]],"date-time":"2025-02-12T15:21:48Z","timestamp":1739373708000},"source":"Crossref","is-referenced-by-count":0,"title":["On bipolar fuzzy soft hyperlattices"],"prefix":"10.1093","volume":"33","author":[{"given":"G\u00fcl\u015fah","family":"Ye\u015filmen","sequence":"first","affiliation":[{"name":"Department of Mathematics , Yildiz Technical University, Istanbul, 34220, T\u00fcrkiye"}]},{"given":"Erdo\u011fan Mehmet","family":"\u00d6zkan","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Yildiz Technical University, Istanbul, 34220, T\u00fcrkiye"}]},{"given":"Serkan","family":"Onar","sequence":"additional","affiliation":[{"name":"Department of Mathematical Engineering , Yildiz Technical University, Istanbul, 34220, T\u00fcrkiye"}]}],"member":"286","published-online":{"date-parts":[[2025,11,20]]},"reference":[{"key":"2025112018102292400_ref1","doi-asserted-by":"publisher","first-page":"2726","DOI":"10.1016\/j.ins.2006.12.008","article-title":"Soft sets and soft groups","volume":"177","author":"Akta\u015f","year":"2007","journal-title":"Inf Sci"},{"key":"2025112018102292400_ref2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2012\/208489","article-title":"Soft intuitionistic fuzzy sets","volume":"2012","author":"Alhazaymeh","year":"2012","journal-title":"Appl Math Sci"},{"key":"2025112018102292400_ref3","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst"},{"key":"2025112018102292400_ref4","doi-asserted-by":"publisher","first-page":"1279","DOI":"10.1016\/j.camwa.2009.07.047","article-title":"Introduction to FZS groups","volume":"58","author":"Ayg\u00fcno\u011flu","year":"2009","journal-title":"Comput Math Appl"},{"key":"2025112018102292400_ref5","article-title":"Applications of hyperstructure theory","volume-title":"Advances in Mathematics","author":"Corsini","year":"2013"},{"key":"2025112018102292400_ref6","article-title":"Hyperring theory and applications","volume-title":"International Academic Press","author":"Davvaz","year":"2007"},{"key":"2025112018102292400_ref7","first-page":"40","article-title":"Hyperlattices","volume":"20","author":"Guo","year":"2004","journal-title":"Pure Appl Math"},{"key":"2025112018102292400_ref8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2013\/915217","article-title":"On rough HIDs in hyperlattices","volume":"2013","author":"He","year":"2013","journal-title":"J Appl Math"},{"key":"2025112018102292400_ref9","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1006\/jabr.1997.6789","article-title":"Transposition hypergroups: noncommutative join spaces","volume":"187","author":"Jantosciak","year":"1997","journal-title":"J Algebra"},{"key":"2025112018102292400_ref10","doi-asserted-by":"publisher","first-page":"3180","DOI":"10.1016\/j.camwa.2010.03.004","article-title":"Fuzzy soft set theory applied to BCK\/BCI-algebras","volume":"59","author":"Jun","year":"2010","journal-title":"Comput Math Appl"},{"key":"2025112018102292400_ref11","doi-asserted-by":"publisher","first-page":"2502","DOI":"10.1080\/00207160.2011.556192","article-title":"Soft ideals of BCK\/BCI-algebras based on fuzzy set theory","volume":"88","author":"Jun","year":"2011","journal-title":"Int J Comput Math"},{"key":"2025112018102292400_ref12","first-page":"187","article-title":"An introduction to the theory of hyperlattices","volume":"7","author":"Konstantinidou","year":"1977","journal-title":"Math Balkanica"},{"key":"2025112018102292400_ref13","doi-asserted-by":"publisher","first-page":"46","DOI":"10.20454\/ijas.2018.1434","article-title":"On lattice ordered intuitionistic FZS sets","volume":"7","author":"Mahmood","year":"2018","journal-title":"Int J Algeb Stat"},{"key":"2025112018102292400_ref14","doi-asserted-by":"publisher","first-page":"1077","DOI":"10.1016\/S0898-1221(02)00216-X","article-title":"An application of soft sets in a decision making problem","volume":"44","author":"Maji","year":"2002","journal-title":"Comput Math Appl"},{"key":"2025112018102292400_ref15","first-page":"589","article-title":"Fuzzy soft sets","volume":"9","author":"Maji","year":"2001","journal-title":"J Fuzzy Math"},{"key":"2025112018102292400_ref16","first-page":"45","article-title":"Sur une generalization de la notion de groupe","volume-title":"Proceedings of the 8th Congress on Mathematics","author":"Marty","year":"1934"},{"key":"2025112018102292400_ref17","first-page":"61","article-title":"Sur une nouvelle generation de la notion de treillis. 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