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23. Internal and external cubic subalgebras of BCK/BCI-algebrasHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2021, izvirni znanstveni članek Opis: A characterization of cubic subalgebra is established. The notion of
internal and external cubic subalgebra in BCK\BCI-algebra, and several properties
are investigated. The R-union, R-intersection, P-union, and P-intersection of internal
and external cubic subalgebras in BCK=BCI-algebra are discussed.
Ključne besede: subalgebra, internal cubic subalgebra, external cubic subalgebra
Objavljeno v RUNG: 07.04.2021; Ogledov: 1880; Prenosov: 0
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24. Implicative falling neutrosophic ideals of BCK-algebrasXiao Long Xin, Hashem Bordbar, Florentin Smarandache, Rajab Ali Borzooei, Young Bae Jun, 2021, izvirni znanstveni članek Opis: The notions of an implicative (2; 2)-neutrosophic ideal and an implicative falling neutrosophic ideal are
introduced, and several properties are investigated. Characterizations of an implicative (2; 2)-neutrosophic ideal
are considered, and relations between an implicative (2; 2)-neutrosophic ideal and an (2; 2)-neutrosophic ideal are
discussed. Conditions for an (2; 2)-neutrosophic ideal to be an implicative (2; 2)-neutrosophic ideal are provided,
and relations between an implicative (2; 2)-neutrosophic ideal, a falling neutrosophic ideal and an implicative falling
neutrosophic ideal are studied. Conditions for a falling neutrosophic ideal to be implicative are provided. Relations
between implicative falling neutrosophic ideal, commutative falling neutrosophic ideal and positive implicative falling
neutrosophic ideal are discussed.
Ključne besede: neutrosophic random set, neutrosophic falling shadow, (positive implicative) (2, 2)-neutrosophic ideal, (positive implicative) falling neutrosophic ideal, (commutative) (2, 2)-neutrosophic ideal, (commutative) falling neutrosophic ideal
Objavljeno v RUNG: 15.03.2021; Ogledov: 2030; Prenosov: 0
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27. UNI-SOFT IDEALS IN CORESIDUATED LATTICESHashem Bordbar, 2018, izvirni znanstveni članek Opis: The notion of the uni-soft idea is introduced, and related properties are investigated. Characterizations of the uni-soft ideal are discussed. The transfer of uni-soft ideal is considered, and relations between the uni-soft ideal and its transfer are investigated. Given a soft set, conditions for the transfer of soft set to be a uni-soft ideal.
Ključne besede: Coresiduated lattice, uni-soft ideal, transfer, support.
Objavljeno v RUNG: 15.10.2020; Ogledov: 2392; Prenosov: 0
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28. Double-framed soft set theory applied to hyper BCK-algebrasHashem Bordbar, 2020, izvirni znanstveni članek Opis: The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double- framed soft hyper BCK-ideal are considered. Relations between double-framed soft hyper BCK-ideal and double-framed soft strong hyper BCK-ideal are discussed. Conditions for a double-framed soft set to be a double-framed soft strong hyper BCK-ideal are provided.
Ključne besede: double-framed soft hyper BCK-algebra, double-framed soft (strong) hyper BCK-ideal.
Objavljeno v RUNG: 31.08.2020; Ogledov: 2420; Prenosov: 0
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29. A GENERAL MODEL OF NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTSHashem Bordbar, Rajab Ali Borzooei, Florentin Smarandache, Young Bae Jun, 2020, izvirni znanstveni članek Opis: 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.
Ključne besede: Ideal, neutrosophic ∈-subset, neutrosophic qk-subset, neutrosophic ∈∨qk-subset, (∈, ∈ ∨q(kT, kI, kF ))-neutrosophic ideal.
Objavljeno v RUNG: 31.08.2020; Ogledov: 2305; Prenosov: 0
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30. Soft set theory and hypercompositional algebrasHashem Bordbar, 2020, objavljeni povzetek znanstvenega prispevka na konferenci Opis: Some applications of soft set theory and fuzzy soft set theory (as a generalization of the soft set theory) in the decision-making problem were investigated by Maji et al. in [1].
The aim of this manuscript is to apply the concept of (fuzzy) soft set theory in some hypercompositional structure and especially hyper BCK-algebra. Some notations related to our hyperstructure are introduced and some examples are provided.
Ključne besede: Soft set theory, Hyper BCK-algebra, Fuzzy soft set theory.
Objavljeno v RUNG: 08.07.2020; Ogledov: 2392; Prenosov: 0
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