On fuzzy ideals in Hilbert algebras.

Dudek, Wieslaw A.; Jun, Young Bae

Displaying similar documents to “On fuzzy ideals in Hilbert algebras.”

When doL-fuzzy ideals of a ring generate a distributive lattice?

Ninghua Gao, Qingguo Li, Zhaowen Li (2016)

Open Mathematics

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The notion of L-fuzzy extended ideals is introduced in a Boolean ring, and their essential properties are investigated. We also build the relation between an L-fuzzy ideal and the class of its L-fuzzy extended ideals. By defining an operator “⇝” between two arbitrary L-fuzzy ideals in terms of L-fuzzy extended ideals, the result that “the family of all L-fuzzy ideals in a Boolean ring is a complete Heyting algebra” is immediately obtained. Furthermore, the lattice structures of L-fuzzy...

$T$ -fuzzy ideals in BCI-algebras.

Akram, M., Dar, K.H. (2005)

International Journal of Mathematics and Mathematical Sciences

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Fuzzy ideals of ordered semigroups with fuzzy orderings

Xiaokun Huang, Qingguo Li (2016)

Open Mathematics

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The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally,...

Intuitionistic fuzzy ideals of BCK-algebras.

Jun, Young Bae, Kim, Kyung Ho (2000)

International Journal of Mathematics and Mathematical Sciences

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Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Young Bae Jun, Seok-Zun Song (2020)

Bulletin of the Section of Logic

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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....