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Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

dc.contributor.authorJun, Young Bae
dc.contributor.authorSong, Seok-Zun
dc.date.accessioned2021-05-05T15:52:36Z
dc.date.available2021-05-05T15:52:36Z
dc.date.issued2020-03-30
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/35371
dc.description.abstractBased on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.en
dc.language.isoen
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl
dc.relation.ispartofseriesBulletin of the Section of Logic;1en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectp-semisimple BCI-algebraen
dc.subjectInf-hesitant fuzzy subalgebraen
dc.subjectInf-hesitant fuzzy idealen
dc.subjectInf-hesitant fuzzy p-idealen
dc.titleInf-Hesitant Fuzzy Ideals in BCK/BCI-Algebrasen
dc.typeOther
dc.page.number53–78
dc.contributor.authorAffiliationJun, Young Bae - Gyeongsang National University, Department of Mathematics Educationen
dc.contributor.authorAffiliationSong, Seok-Zun - Jeju National, University, Department of Mathematicsen
dc.identifier.eissn2449-836X
dc.references[1] A. Al-Masarwah and A. G. Ahmad, m-polar fuzzy ideals of BCK/BCI-algebras, Journal of King Saud University-Science, Vol. 31 (2019), pp. 1220–1226. http://dx.doi.org/10.1016/j.jksus.2018.10.002en
dc.references[2] A. Al-Masarwah and A. G. Ahmad, m-Polar (α,β)-fuzzy ideals in BCK/BCIalgebras, Symmetry, Vol. 11 (2019), p. 44. http://dx.doi.org/10.3390/sym11010044en
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dc.contributor.authorEmailJun, Young Bae - skywine@gmail.com
dc.contributor.authorEmailSong, Seok-Zun - szsong@jejunu.ac.kr
dc.identifier.doi10.18778/0138-0680.2020.03
dc.relation.volume49


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