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1.
Neutrosophic Quadruple BCK/BCI-Algebras
Hashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok-zun Song, 2018, izvirni znanstveni članek

Opis: The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied. Given subsets A and B of a BCK/BCI-algebra, the set NQ(A,B) , which consists of neutrosophic quadruple BCK/BCI-numbers with a condition, is established. Conditions for the set NQ(A,B) to be a (positive implicative) ideal of a neutrosophic quadruple BCK-algebra are provided, and conditions for the set NQ(A,B) to be a (closed) ideal of a neutrosophic quadruple BCI-algebra are given. An example to show that the set {0˜} is not a positive implicative ideal in a neutrosophic quadruple BCK-algebra is provided, and conditions for the set {0˜} to be a positive implicative ideal in a neutrosophic quadruple BCK-algebra are then discussed.
Najdeno v: ključnih besedah
Povzetek najdenega: ...Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and...
Ključne besede: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Objavljeno: 01.12.2019; Ogledov: 1666; Prenosov: 0
.pdf Polno besedilo (284,81 KB)

2.
Relative annihilators in lower BCK-semilattices
Hashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2017, izvirni znanstveni članek

Opis: As a generalization of annihilators, the notion of a relative annihilator is introduced, and their properties are investigated. Conditions for a relative annihilator to be an implicative (resp., positive implicative, commutative) ideal are discussed.
Najdeno v: ključnih besedah
Povzetek najdenega: ...for a relative annihilator to be an implicative (resp., positive implicative, commutative) ideal are discussed....
Ključne besede: Lower BCK-semilattice, relative annihilator, implicative ideal, positive implicative ideal, commutative ideal
Objavljeno: 01.12.2019; Ogledov: 1721; Prenosov: 0
.pdf Polno besedilo (207,08 KB)

3.
INT-SOFT IDEALS OF PSEUDO M V -ALGEBRAS
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, izvirni znanstveni članek

Opis: The notion of (implicative) int-soft ideal in a pseudo MV -algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) int-soft ideal are considered. The extension property for implicative int-soft ideal is established.
Najdeno v: ključnih besedah
Povzetek najdenega: ...The notion of ( implicative) int-soft ideal in a pseudo MV -algebra...
Ključne besede: int-soft ideal, implicative int-soft ideal.
Objavljeno: 02.12.2019; Ogledov: 1463; Prenosov: 0
.pdf Polno besedilo (166,77 KB)

4.
Implicative falling neutrosophic ideals of BCK-algebras
Rajab Ali Borzooei, Young Bae Jun, Florentin Smarandache, Hashem Bordbar, Xiao Long Xin, 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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...The notions of an implicative (2; 2)-neutrosophic ideal and an implicative falling neutrosophic ideal are introduced,...
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: 15.03.2021; Ogledov: 844; Prenosov: 0
.pdf Polno besedilo (325,52 KB)

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