Hyperfuzzy Ideals in BCK / BCI -Algebras

Seok-Zun Song, Seon Jeong Kim and Young Bae Jun
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Seok-Zun Song: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Seon Jeong Kim: Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2017, vol. 5, issue 4, 1-14

Abstract: The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to be hyperfuzzy ideals are provided.

Keywords: hyperfuzzy set; hyperfuzzy subalgebra; hyperfuzzy ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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