Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

Translation of fuzzy ideals in bck/bci-algebras

Pages
349–358
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Relations among fuzzy translations, fuzzy extensions and fuzzy multiplications of fuzzy ideals are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Based on fuzzy set theory, extensions, translations and multiplications of ideals in BCK/BCI-algebras are discussed.
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Key Findings & Data:Based on fuzzy set theory, extensions, translations and multiplications of ideals in BCK/BCI-algebras are discussed.
💡
Conclusion & Impact:Relations among fuzzy translations, fuzzy extensions and fuzzy multiplications of fuzzy ideals are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Based on fuzzy set theory, extensions, translations and multiplications of ideals in BCK/BCI-algebras are discussed. Relations among fuzzy translations, fuzzy extensions and fuzzy multiplications of fuzzy ideals are investigated.

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Cite This Article

JUN, Y. B. (2022). Translation of fuzzy ideals in bck/bci-algebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 349–358. https://ajindex.com/articles/530588

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References (1)

  1. Huang, Y. BCI-algebra (Science Press, Beijing, 2006). [2]Jun, Y. B. and Meng, J. Fuzzy commutative ideals in BCI-algebras, Commun. Korean Math.' Soc. 9 (1994) (1), 19-25, 1994. [3]Jun, Y. B. and Song, S. Z. Fuzzy set theory applied to implicative ideals in BCK-algebras, Bull. Korean Math. Soc. 43 (3), 461-470, 2006. [4]Jun, Y. B. and Xin, X. L. Involutory and invertible fuzzy BCK-algebras, Fuzzy Sets and Systems 117, 463-469, 2004. [5]Lee, K.J., Jun, Y.B. and Doh, M.I. Fuzzy translations and fuzzy multiplications of BCK/BCI-algebras, Commun. Korean Math. Soc. 24, 353-360, 2009. [6]Meng, J. and Jun, Y. B. BCK-algebras (Kyungmoon Sa Co., Seoul, 1994). [7]Meng, J., Jun, Y.B. and Kim, H. S. Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 89, 243-248, 1997.