Geodesic
Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras
Bulletin of the Section of Logic, Tome 49 (2020) no. 1

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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.
Keywords: Inf-hesitant fuzzy p-ideal, p-semisimple BCI-algebra, Inf-hesitant fuzzy subalgebra, Inf-hesitant fuzzy ideal 
@article{BSL_2020_49_1_a1,
     author = {Jun, Young Bae and Song, Seok-Zun},
     title = {Inf-Hesitant {Fuzzy} {Ideals} in {BCK/BCI-Algebras}},
     journal = {Bulletin of the Section of Logic},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2020_49_1_a1/}
}
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Jun, Young Bae; Song, Seok-Zun. Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras. Bulletin of the Section of Logic, Tome 49 (2020) no. 1. http://geodesic.mathdoc.fr/item/BSL_2020_49_1_a1/