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11.
ŁUKASIEWICZ ANTI FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Jeong Gi Kang, Hashem Bordbar, 2025, izvirni znanstveni članek

Opis: 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.
Najdeno v: osebi
Ključne besede: Anti fuzzy subalgebra, Łukasiewicz anti fuzzy set, Łukasiewicz anti fuzzy subalgebra, ⋖-subset, Υ-subset, anti subset
Objavljeno: 20.02.2023; Ogledov: 106; Prenosov: 0
.pdf Polno besedilo (406,83 KB)

12.
13.
Height of Prime Hyperideals in Krasner Hyperrings
Irina Cristea, Hashem Bordbar, 2017, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Objavljeno: 03.01.2018; Ogledov: 2847; Prenosov: 0
.pdf Polno besedilo (257,02 KB)

14.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun young Bae, 2018, objavljeni znanstveni prispevek na konferenci

Najdeno v: osebi
Ključne besede: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Objavljeno: 12.02.2018; Ogledov: 2685; Prenosov: 0
.pdf Polno besedilo (388,89 KB)

15.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno: 28.02.2019; Ogledov: 2512; Prenosov: 0
.pdf Polno besedilo (320,12 KB)

16.
Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Florentin Smarandache, Young Bae Jun, G Muhiuddin, 2018, izvirni znanstveni članek

Opis: Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal. The re- lation between (∈, ∈)-neutrosophic ideal and (∈, ∈)-neutrosophic subalgebra in a BCK-algebra is discussed. Conditions for an (∈∈)-neutrosophic subalgebra to be a (∈, ∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an (∈, ∈)-neutrosophic ideal is established. Equivalence relations on the family of all (∈, ∈)-neutrosophic ideals are introduced, and re- lated properties are investigated.
Najdeno v: osebi
Ključne besede: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal.
Objavljeno: 01.12.2019; Ogledov: 2142; Prenosov: 0
.pdf Polno besedilo (6,02 MB)

17.
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: osebi
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: 2142; Prenosov: 0
.pdf Polno besedilo (284,81 KB)

18.
A Finite type Closure Operations on BCK-algebras
Hashem Bordbar, 2016, izvirni znanstveni članek

Opis: In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results.
Najdeno v: osebi
Ključne besede: BCI-algebra, BCK-algebra, closure operation, finite type closure operation.
Objavljeno: 01.12.2019; Ogledov: 2009; Prenosov: 0
.pdf Polno besedilo (257,89 KB)

19.
Weak closure operations on ideals of BCK-algebras
Hashem Bordbar, 2017, izvirni znanstveni članek

Opis: Weak closure operation, which is more general form than closure operation, on ideals of BCK- algebras is introduced, and related properties are investigated. Regarding weak closure operation, finite type and (strong) quasi-primeness are considered. Also positive implicative (resp., commutative and implicative) weak closure operations are discussed.
Najdeno v: osebi
Ključne besede: weak closure operation of finite type, (quasi-prime, positive implicative, commutative, implica- tive) weak closure operation.
Objavljeno: 01.12.2019; Ogledov: 2196; Prenosov: 0
.pdf Polno besedilo (629,86 KB)

20.
SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA
Hashem Bordbar, 2015, izvirni znanstveni članek

Opis: In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.
Najdeno v: osebi
Ključne besede: BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation.
Objavljeno: 01.12.2019; Ogledov: 2013; Prenosov: 0
.pdf Polno besedilo (194,69 KB)

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