Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

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Bulletin of the Section of Logic 49 (1) (2020)
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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 ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.

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10.18778/0138-0680.2020.03

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Citations of this work

Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals.Mohammad Hamidi - 2023 - Bulletin of the Section of Logic 52 (4):411-440.

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