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71.
Semi-prime and meet weak closure operations in lower BCK-semilattices
Hashem Bordbar, Mohammad Mehdi Zahedi, 2017, izvirni znanstveni članek

Opis: The notion of semi-prime (resp., meet) weak closure operation is introduced and related properties are investigated. Characterizations of a semi-prime (resp. meet) closure operation are discussed. Examples show that the notion of semi-prime weak closure operation is independent of the notion of meeting weak closure operation.
Ključne besede: non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure operation.
Objavljeno: 02.12.2019; Ogledov: 124; Prenosov: 0
.pdf Polno besedilo (267,87 KB)

72.
UNI-SOFT COMMUTATIVE IDEALS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS
Hashem Bordbar, Seok Zun Song, Young Bae Jun, Kyoung Ja Lee, 2018, izvirni znanstveni članek

Opis: The notion of a uni-soft commutative ideal with thresholds is introduced, and related properties are investigated. Relations between a uni-soft ideal with thresholds and a uni-soft commutative ideal with thresholds are discussed. Conditions for a uni- soft ideal with thresholds to be a uni-soft commutative ideal with the same thresholds are provided. Characterizations of a uni-soft commutative ideal with thresholds are established.
Ključne besede: uni-soft ideal (with thresholds), uni-soft commutative ideal (with thresholds).
Objavljeno: 02.12.2019; Ogledov: 114; Prenosov: 0
.pdf Polno besedilo (141,42 KB)

73.
IDEALS OF IS-ALGEBRAS BASED ON N-STRUCTURES
Hashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2018, izvirni znanstveni članek

Opis: The notion of a left (resp., right) NI-ideal is introduced, and related properties are investigated. Characterizations of a left (resp., right) NI-ideal are considered. Translations of a left (resp., right) NI-ideal are studied. We show that the homomorphic image (preimage) of a left (resp., right) NI-ideal is a left (resp., right) NI-ideal. The notion of retrenched left (resp., right) NI-ideals is introduced, and their properties are investigated.
Ključne besede: Left (resp., right) NI-ideal, translation, closed support, retrenched left (resp., right) NI-ideal.
Objavljeno: 02.12.2019; Ogledov: 105; Prenosov: 0
.pdf Polno besedilo (118,91 KB)

74.
Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-Algebras
Hashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok Zun Song, 2018, izvirni znanstveni članek

Opis: The concept of a (∈, ∈)-neutrosophic ideal is introduced, and its characterizations are established. The notions of neutrosophic permeable values are introduced, and related properties are investigated. Conditions for the neutrosophic level sets to be energetic, right stable, and right vanished are discussed. Relations between neutrosophic permeable S- and I-values are considered.
Ključne besede: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal, neutrosophic (anti-)permeable S-value, neutrosophic (anti-)permeable I-value, S-energetic set, I-energetic set
Objavljeno: 02.12.2019; Ogledov: 97; Prenosov: 0
.pdf Polno besedilo (297,13 KB)

75.
Neutrosophic falling shadows applied to subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Florentin Smarandache, Young Bae Jun, 2018, izvirni znanstveni članek

Opis: As a combination of neutrosophic set and falling shadow, neutrosophic falling shadow is introduced, and applied to BCK/BCI- algebras. Falling neutrosophic subalgebra and falling neutrosophic ideal in BCK/BCI-algebras are introduced, and related properties are investi- gated. Relations between falling neutrosophic subalgebra and falling neu- trosophic ideal are discussed. A characterization of falling neutrosophic ideal is established.
Ključne besede: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal, Neutro- sophic random set, Neutrosophic falling shadow, Falling neutrosophic subalgebra, Falling neutrosophic ideal.
Objavljeno: 02.12.2019; Ogledov: 85; Prenosov: 0
.pdf Polno besedilo (324,41 KB)

76.
A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras
Young Bae Jun, Mohammad Rahim Bordbar, Hashem Bordbar, 2019, izvirni znanstveni članek

Opis: Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in BCK∕BCI-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in BCK∕BCI-algebras to be a semidetached subalgebra are provided. The concepts of (∈¯,∈¯∨qk¯)-fuzzy subalgebra, k-left (k-right) (qk,∈∨qk)-fuzzy subalgebra, (qk¯,∈¯∨qk¯)-fuzzy subalgebra and (∈¯∨qk¯,∈¯∨qk¯)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.
Ključne besede: ð2, 2_qkÞ-fuzzy subalgebra, k-left (k-right) ðqk, 2_qkÞ-fuzzy subalgebra, ð 2 _ qk, 2 _ qk Þ-fuzzy subalgebra, semidetached structure, semidetached subalgebra.
Objavljeno: 02.12.2019; Ogledov: 100; Prenosov: 0
.pdf Polno besedilo (190,65 KB)

77.
Tender and naive weak closure operations on lower BCK-semilattices.
Hashem Bordbar, 2018, izvirni znanstveni članek

Opis: The notion of tender and naive weak closure operation is introduced, and their relations and properties are investigated. Using a weak closure operation "d" and an ideal A of a lower BCK-semilattice X with the greatest element 1, a new ideal K of X containing the ideal Acl of X is established. Using this ideal K, a new function clt : I(X) → I(X); A → K is given, and related properties are considered. We show that if "cl" is a tender (resp., naive) weak closure operation on I(X), then so are "clt" and clf.
Ključne besede: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Objavljeno: 02.12.2019; Ogledov: 100; Prenosov: 0
.pdf Polno besedilo (648,16 KB)

78.
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.
Ključne besede: int-soft ideal, implicative int-soft ideal.
Objavljeno: 02.12.2019; Ogledov: 96; Prenosov: 0
.pdf Polno besedilo (166,77 KB)

79.
BMBJ-neutrosophic ideals in BCK/BCI-algebras
Hashem Bordbar, Young Bae Jun, 2019, izvirni znanstveni članek

Opis: The concepts of a BMBJ-neutrosophic ◦-subalgebra and a (closed) BMBJ-neutrosophic ideal are introduced, and several properties are investigated. Conditions for an MBJ-neutrosophic set to be a BMBJ-neutrosophic ideal in BCK/BCI-algebras are provided. Characterizations of BMBJ-neutrosophic ideal are discussed. Relations between a BMBJ-neutrosophic subalgebra, a BMBJ-neutrosophic ◦-subalgebra and a (closed) BMBJ-neutrosophic ideal are considered.
Ključne besede: MBJ-neutrosophic set, BMBJ-neutrosophic subalgebra, BMBJ-neutrosophic ideal, BMBJ-neutrosophic ◦-subalgebra.
Objavljeno: 02.12.2019; Ogledov: 147; Prenosov: 0
.pdf Polno besedilo (223,15 KB)

80.
Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, izvirni znanstveni članek

Opis: 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.
Ključne besede: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Objavljeno: 01.12.2019; Ogledov: 106; Prenosov: 0
.pdf Polno besedilo (261,47 KB)

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