Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Authors

  • Young Bae Jun Gyeongsang National University, Department of Mathematics Education
  • Seok-Zun Song Jeju National, University, Department of Mathematics

DOI:

https://doi.org/10.18778/0138-0680.2020.03

Keywords:

p-semisimple BCI-algebra, Inf-hesitant fuzzy subalgebra, Inf-hesitant fuzzy ideal, Inf-hesitant fuzzy p-ideal

Abstract

Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.

References

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Published

2020-03-30

How to Cite

Jun, Y. B., & Song, S.-Z. (2020). Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras. Bulletin of the Section of Logic, 49(1), 53–78. https://doi.org/10.18778/0138-0680.2020.03

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Research Article

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