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https://hdl.handle.net/20.500.14365/2143| Title: | Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras | Authors: | Oner, Tahsin Katıcan Tuğçe Saeid, Arsham Borumand |
Keywords: | Sheffer stroke BCK-algebra (hesitant fuzzy) subalgebra ((hesitant fuzzy) maximal) ideal Set |
Publisher: | World Scientific Publ Co Pte Ltd | Abstract: | The main objective of the study is to introduce a hesitant fuzzy structures on Sheffer stroke BCK-algebras related to their subsets (subalgebras as possible as). Then it is proved that every hesitant fuzzy ideal of a Sheffer stroke BCK-algebra related to the subset is the hesitant fuzzy subalgebra. By defining a hesitant fuzzy maximal ideal in this algebra, relationships between aforementioned structures, subalgebras and ideals on Sheffer stroke BCK-algebras are shown in detail. Finally, it is illustrated that a subset of a Sheffer stroke BCK-algebra defined by a certain element and a hesitant fuzzy (maximal) ideal on the algebra is a (maximal) ideal but the inverse is usually not true. | Description: | Article; Early Access | URI: | https://doi.org/10.1142/S1793005723500369 https://hdl.handle.net/20.500.14365/2143 |
ISSN: | 1793-0057 1793-7027 |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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