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Soju structures with applications in BCK/BCI-algebras

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Abstract

A new structure, so called soju structure, is introduced by combining intuitionistic fuzzy set and soft set, which is applied to BCK/BCI-algebras. The notions of soju subalgebra and soju ideal in BCK/BCI-algebras are introduced, and related properties are investigated. A strong soju subalgebra in BCI-algebras is introduced, and a condition for a soju subalgebra to be strong is provided. Relations between soju subalgebra and soju ideal are discussed, and conditions for a soju structure to be a soju ideal in a BCK-algebra are considered. Characterizations of soju subalgebra and soju ideal are considered, and the homomorphic image and preimage of soju subalgebra is discussed.

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Acknowledgements

The corresponding author, Seok-Zun Song, was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2016R1D1A1B02006812).

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Authors and Affiliations

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

    Young Bae Jun

  2. Department of Mathematics, Jeju National University, Jeju, 690-756, Korea

    Seok-Zun Song

  3. Department of Mathematics Education, Chinju National University of Education, Jinju, 52673, Korea

    Eun Hwan Roh

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  1. Young Bae Jun
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  2. Seok-Zun Song
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Jun, Y.B., Song, SZ. & Roh, E.H. Soju structures with applications in BCK/BCI-algebras. Afr. Mat. 34, 78 (2023). https://doi.org/10.1007/s13370-023-01125-w

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