1. Growth of nanostructured ZnO on wearable fabrics for functional garmentMinseo ParK, Fei Tong, Achintya Sujan, Yoonsung Chung, Minseo Park, Bruce Tatarchuk, Helen Koo, Hosang Ahn, Young Soo Yoon, Dong-Joo Kim, 2014, original scientific article Found in: osebi
Keywords: ZnO, Fabrics, Dip-pad-cure method, Nanorods, Diffuse reflectance, IV measurement
Published: 16.01.2017; Views: 3803; Downloads: 0
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4. Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebrasHashem 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: osebi
Keywords: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal.
Published: 01.12.2019; Views: 2243; Downloads: 0
Fulltext (6,02 MB) |
5. Neutrosophic Quadruple BCK/BCI-AlgebrasHashem 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: osebi
Keywords: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Published: 01.12.2019; Views: 2234; Downloads: 0
Fulltext (284,81 KB) |
6. Weak closure operations on ideals of BCK-algebrasHashem Bordbar, 2017, original scientific article Abstract: 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.
Found in: osebi
Keywords: weak closure operation of finite type, (quasi-prime, positive implicative, commutative, implica- tive) weak closure operation.
Published: 01.12.2019; Views: 2308; Downloads: 0
Fulltext (629,86 KB) |
7. Semiring structures based on meet and plus ideals in lower BCK-semilatticesHashem 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: osebi
Keywords: Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring.
Published: 01.12.2019; Views: 2070; Downloads: 0
Fulltext (3,39 MB) |
8. Relative annihilators in lower BCK-semilatticesHashem 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: osebi
Keywords: Lower BCK-semilattice, relative annihilator, implicative ideal, positive implicative ideal, commutative ideal
Published: 01.12.2019; Views: 2364; Downloads: 0
Fulltext (207,08 KB) |
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