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1.
Łukasiewicz anti fuzzy subalgebras of BCK/BCI-algebras
Jeong Gi Kang, Hashem Bordbar, 2025, original scientific article

Abstract: The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated. The relationship between anti fuzzy subalgebra and Łukasiewicz anti fuzzy subalgebra is given, and characterization of a Łukasiewicz anti fuzzy subalgebra is discussed. Conditions are found in which a Lukasiewicz anti fuzzy set is a Lukasiewicz anti fuzzy subalgebra Finally, conditions under which ⋖-subset, Υsubset, and anti-subset become subalgebra are explored.
Keywords: anti fuzzy subalgebra, Łukasiewicz anti fuzzy set, Łukasiewicz anti fuzzy, subalgebra, Υ-subset, anti subset
Published in RUNG: 30.10.2024; Views: 362; Downloads: 0
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2.
The interpretation of the German additive particle auch ('too, also') in quantificational contexts
Madeleine Butschety, 2022, independent scientific component part or a chapter in a monograph

Abstract: This article discusses an unexpected interpretation that arises for the German additive particle auch (‘too, also’) in quantificational contexts. It will be proposed that what auch conveys in such contexts is a superset-to-subset relation between two of its arguments. This rather unusual meaning and its alternation with the classical additive meaning will be argued to be tied to specific syntactic constructions in which the particle occurs. The main purpose of this article is to present novel data and make a tentative suggestion on how the correspondence between syntactic structure and semantic interpretation could be explained.
Keywords: additive particle, quantification, appositive, superset-to-subset relation, German, inclusion, presupposition, anaphora
Published in RUNG: 04.04.2024; Views: 1514; Downloads: 2
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3.
ŁUKASIEWICZ ANTI FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Jeong Gi Kang, Hashem Bordbar, 2025, original scientific article

Abstract: Abstract. The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated. The relationship between anti fuzzy subalgebra and Łukasiewicz anti fuzzy subalgebra is given, and the characterization of a Łukasiewicz anti fuzzy subalgebra is discussed. Conditions are found in which a Lukasiewicz anti fuzzy set is a Lukasiewicz anti fuzzy subalgebra Finally, conditions under which ⋖-subset, Υ- subset, and anti-subset become subalgebra are explored.
Keywords: Anti fuzzy subalgebra, Łukasiewicz anti fuzzy set, Łukasiewicz anti fuzzy subalgebra, ⋖-subset, Υ-subset, anti subset
Published in RUNG: 20.02.2023; Views: 1721; Downloads: 0
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4.
A GENERAL MODEL OF NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS
Hashem Bordbar, Rajab Ali Borzooei, Florentin Smarandache, Young Bae Jun, 2020, original scientific article

Abstract: More general form of (∈, ∈∨q)-neutrosophic ideal is introduced, and their prop- erties are investigated. Relations between (∈, ∈)-neutrosophic ideal and (∈, ∈ ∨q(kT ,kI ,kF ) )-neutrosophic ideal are discussed. Characterizations of (∈, ∈ ∨q(kT ,kI ,kF ) )-neutrosophic ideal are discussed, and conditions for a neutrosophic set to be an (∈, ∈∨q(kT ,kI,kF ))-neutrosophic ideal are displayed.
Keywords: Ideal, neutrosophic ∈-subset, neutrosophic qk-subset, neutrosophic ∈∨qk-subset, (∈, ∈ ∨q(kT, kI, kF ))-neutrosophic ideal.
Published in RUNG: 31.08.2020; Views: 3206; Downloads: 0
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5.
A New Type of Fuzzy Quasi-ideals of Ordered Semigroups
Irina Elena Cristea, Ahsan Mahboob, Noor Mohammad Khan, 2020, original scientific article

Keywords: ordered semigroup, fuzzy subset, fuzzy quasi ideal
Published in RUNG: 14.05.2020; Views: 3518; Downloads: 0
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