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Article type: Research Article
Authors: Song, Seok-Zuna; * | Bordbar, Hashemb | Jun, Young Baec
Affiliations: [a] Department of Mathematics, Jeju National University, Jeju, Republic of Korea | [b] Faculty of Mathematics, Statistics and Computer Science Shahid Bahonar University, Kerman, Iran | [c] Department of Mathematics Education, Gyeongsang National University, Jinju, Republic of Korea
Correspondence: [*] Corresponding author. Seok-Zun Song, Department of Mathematics, Jeju National University, Jeju 63243, Republic of Korea. Tel.: +82 64 754 3562; Fax: +82 64 725 2573; E-mail: [email protected].
Abstract: The concept of hesitant union (⋓) is introduced. Using this, the notions of ⋓-hesitant fuzzy subalgebras and ⋓-hesitant fuzzy ideals are introduced and several properties are investigated. Relations between ∪-hesitant fuzzy subalgebras (resp. ideals) and ⋓-hesitant fuzzy subalgebras (resp. ideals) are considered. Relations between a ⋓-hesitant fuzzy subalgebra/ideal and its lower level set are investigated. Characterizations of ∪-hesitant fuzzy subalgebras/ideals are discussed. Given a subalgebra (resp., ideal) A of a BCK/BCI-algebra X, a ⋓-hesitant fuzzy subalgebra (resp., ideal) is established.
Keywords: Hesitant union, ∪-hesitant fuzzy subalgebra, ∪-hesitant fuzzy ideal, ⋓-hesitant fuzzy subalgebra, ⋓-hesitant fuzzy ideal, lower hesitant level set
DOI: 10.3233/JIFS-161601
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2009-2016, 2017
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