Abstract
In this paper, we introduce the concept of (inf, sup)-hesitant fuzzy ideals, which is a generalization of the concept of interval-valued fuzzy ideals, in BCK/BCI-algebras and its related properties are investigated. The concept is established in terms of sets, fuzzy sets, negative fuzzy sets, intervalvalued fuzzy sets, Pythagorean fuzzy sets, bipolar fuzzy sets and hesitant fuzzy sets. Moreover, characterizations of ideals, fuzzy ideals, anti-fuzzy ideals, negative fuzzy ideals, Pythagorean fuzzy ideals and bipolar fuzzy ideals of BCK/BCI-algebras are discussed in terms of (inf, sup)-hesitant fuzzy ideals and interval-valued fuzzy ideals.
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Ratchakhwan, N., Julatha, P., Gaketem, T., Khamrot, P., Prasertpong, R., & Iampan, A. (2022). (inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras. International Journal of Analysis and Applications, 20. https://doi.org/10.28924/2291-8639-20-2022-34
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