A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras

Author:

Bordbar Hashem1,Rahim Bordbar Mohammad2,Jun Young Bae3

Affiliation:

1. Center for Information Technology and Applied Mathematics, University of Nova Gorica, Slovenia

2. Department of Physics, University of Qom, Qom, Iran

3. Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

Abstract

Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in [Formula: see text]-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in [Formula: see text]-algebras to be a semidetached subalgebra are provided. The concepts of ([Formula: see text])-fuzzy subalgebra, [Formula: see text]-left ([Formula: see text]-right) [Formula: see text]-fuzzy subalgebra, ([Formula: see text])-fuzzy subalgebra and ([Formula: see text])-fuzzy subalgebra are introduced, and relative relations and properties are discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sheffer stroke branching of BCK-algebras;Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2024-01-19

2. BCK codes;Advances in Computational Intelligence;2021-12-17

3. Internal and External Cubic Subalgebras of BCK/BCI-Algebras;Journal of the Indonesian Mathematical Society;2021-03-31

4. Double-Framed Soft Set Theory Applied to Hyper BCK-Algebras;New Mathematics and Natural Computation;2021-03

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