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1.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun young Bae, 2018, published scientific conference contribution

Found in: ključnih besedah
Summary of found: ...BCK–algebra, ideal, lower BCK–semilattice, relative annihilator...
Keywords: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Published: 12.02.2018; Views: 1873; Downloads: 0
.pdf Fulltext (388,89 KB)

2.
Neutrosophic N-Structures Applied to BCK/BCI-Algebras
Jun young Bae, Florentin Smarandache, Hashem Bordbar, 2017, original scientific article

Abstract: Neutrosophic N-structures with applications in BCK/BCI-algebras is discussed. The notions of a neutrosophic N-subalgebra and a (closed) neutrosophic N-ideal in a BCK/BCI-algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N-subalgebra and a neutrosophic N-ideal are considered, and relations between a neutrosophic N-subalgebra and a neutrosophic N-ideal are stated. Conditions for a neutrosophic N-ideal to be a closed neutrosophic N-ideal are provided.
Found in: ključnih besedah
Summary of found: ...a neutrosophic N-subalgebra and a (closed) neutrosophic N- ideal in a BCK/BCI-algebra are introduced, and several...
Keywords: neutrosophic N-structure, neutrosophic N-subalgebra, (closed) neutrosophic N-ideal
Published: 01.12.2019; Views: 1212; Downloads: 0
.pdf Fulltext (261,83 KB)

3.
Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Florentin Smarandache, Young Bae Jun, G Muhiuddin, 2018, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra...
Keywords: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal.
Published: 01.12.2019; Views: 1279; Downloads: 0
.pdf Fulltext (6,02 MB)

4.
Neutrosophic Quadruple BCK/BCI-Algebras
Hashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok-zun Song, 2018, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a...
Keywords: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Published: 01.12.2019; Views: 1253; Downloads: 0
.pdf Fulltext (284,81 KB)

5.
Semiring structures based on meet and plus ideals in lower BCK-semilattices
Hashem Bordbar, 2017, original scientific article

Abstract: The notion of the meet set based on two subsets of a lower BCK-semilattice X is introduced, and related properties are investigated. Conditions for the meet set to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on subsets, and the plus ideal of two subsets in a lower BCK-semilattice X are also introduced, and related properties are investigated. Using the meet operation and addition, the semiring structure is induced.
Found in: ključnih besedah
Summary of found: ...to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on...
Keywords: Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring.
Published: 01.12.2019; Views: 1193; Downloads: 0
.pdf Fulltext (3,39 MB)

6.
Relative annihilators in lower BCK-semilattices
Hashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2017, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...be an implicative (resp., positive implicative, commutative) ideal are discussed....
Keywords: Lower BCK-semilattice, relative annihilator, implicative ideal, positive implicative ideal, commutative ideal
Published: 01.12.2019; Views: 1325; Downloads: 0
.pdf Fulltext (207,08 KB)

7.
Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras
Hashem Bordbar, Young Bae Jun, Rajab ali Borzooei, 2018, original scientific article

Abstract: The notions of uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras are introduced, and related properties are investigated. Conditions for a uni-soft ideal to be closed are provided. Relations between a uni-soft ideal and a uni-soft commutative ideal are investigated. Conditions for a uni-soft ideal to be a uni-soft commutative ideal are provided. A new uni-soft commutative ideal from an old one is constructed.
Found in: ključnih besedah
Summary of found: ...The notions of uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras are...
Keywords: Exclusive set, (closed) uni-soft ideal, uni-soft commutative ideal.
Published: 01.12.2019; Views: 1185; Downloads: 0
.pdf Fulltext (291,26 KB)

8.
A new type of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2017, original scientific article

Abstract: The concept of a hesitant union (
Found in: ključnih besedah
Keywords: Hesitant union, ∪-hesitant fuzzy subalgebra, ∪-hesitant fuzzy ideal
Published: 01.12.2019; Views: 1285; Downloads: 0
.pdf Fulltext (89,38 KB)

9.
Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, original scientific article

Abstract: Relations between I-quasi-valuation maps and ideals in BCK/BCI -algebras are investigated. Using the notion of an I-quasi-valuation map of a BCK/BCI-algebra, the quasi-metric space is induced, and several properties are investigated. Relations between the I-quasi-valuation map and the I-valuation map are considered, and conditions for an I-quasi-valuation map to be an I-valuation map are provided. A congruence relation is introduced by using the I-valuation map, and then the quotient structures are established and related properties are investigated. Isomorphic quotient BCK/BCI-algebras are discussed.
Found in: ključnih besedah
Summary of found: ... ideal, I-quasi-valuation map, I-valuation map, quasi-metric...
Keywords: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Published: 01.12.2019; Views: 1202; Downloads: 0
.pdf Fulltext (261,47 KB)

10.
UNI-SOFT IDEALS IN CORESIDUATED LATTICES
Hashem Bordbar, 2018, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...properties are investigated. Characterizations of the uni-soft ideal are discussed. The transfer of uni-soft ideal...
Keywords: Coresiduated lattice, uni-soft ideal, transfer, support.
Published: 15.10.2020; Views: 849; Downloads: 0
.pdf Fulltext (630,37 KB)

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