11. BMBJ-neutrosophic ideals in BCK/BCI-algebrasHashem Bordbar, Young Bae Jun, 2019, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...a BMBJ-neutrosophic ◦-subalgebra and a (closed) BMBJ-neutrosophic ideal are introduced, and several properties are investigated....
Keywords: MBJ-neutrosophic set, BMBJ-neutrosophic subalgebra, BMBJ-neutrosophic ideal, BMBJ-neutrosophic ◦-subalgebra.
Published: 02.12.2019; Views: 2238; Downloads: 0
 Fulltext (223,15 KB) |
12. INT-SOFT IDEALS OF PSEUDO M V -ALGEBRASHashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...The notion of (implicative) int-soft ideal in a pseudo MV -algebra is introduced,...
Keywords: int-soft ideal, implicative int-soft ideal.
Published: 02.12.2019; Views: 1924; Downloads: 0
Fulltext (166,77 KB) |
13. Tender and naive weak closure operations on lower BCK-semilattices.Hashem Bordbar, 2018, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...a weak closure operation "d" and an ideal A of a lower BCK-semilattice X with...
Keywords: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Published: 02.12.2019; Views: 1993; Downloads: 0
Fulltext (648,16 KB) |
14. Neutrosophic falling shadows applied to subalgebras and ideals in BCK/BCI-algebrasHashem Bordbar, Florentin Smarandache, Young Bae Jun, 2018, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...algebras. Falling neutrosophic subalgebra and falling neutrosophic ideal in BCK/BCI-algebras are introduced, and related properties...
Keywords: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal, Neutro- sophic random set, Neutrosophic falling shadow, Falling neutrosophic subalgebra, Falling neutrosophic ideal.
Published: 02.12.2019; Views: 1840; Downloads: 0
Fulltext (324,41 KB) |
15. Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-AlgebrasHashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok Zun Song, 2018, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...The concept of a (∈, ∈)-neutrosophic ideal is introduced, and its characterizations are established....
Keywords: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal, neutrosophic (anti-)permeable S-value, neutrosophic (anti-)permeable I-value, S-energetic set, I-energetic set
Published: 02.12.2019; Views: 1998; Downloads: 0
Fulltext (297,13 KB) |
16. IDEALS OF IS-ALGEBRAS BASED ON N-STRUCTURESHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2018, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...The notion of a left (resp., right) NI- ideal is introduced, and related properties are investigated....
Keywords: Left (resp., right) NI-ideal, translation, closed support, retrenched left (resp., right) NI-ideal.
Published: 02.12.2019; Views: 1904; Downloads: 0
Fulltext (118,91 KB) |
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18. Semi-prime and meet weak closure operations in lower BCK-semilatticesHashem Bordbar, Mohammad Mehdi Zahedi, 2017, original scientific article Abstract: 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.
Found in: ključnih besedah
Summary of found: ...non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure...
Keywords: non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure operation.
Published: 02.12.2019; Views: 1962; Downloads: 0
Fulltext (267,87 KB) |
19. Fuzzy soft set theory with applications in hyper BCK-algebrasHashem Bordbar, Mohammad Rahim Bordbar, Seok-zun Song, Young Bae Jun, 2020, original scientific article Abstract: In the paper [P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3) (2001) 589–602], Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision-making problem. The aim of this paper is to apply a fuzzy soft set for dealing with several kinds of theories in hyper BCK-algebras. The notions of fuzzy soft hyper BCK-ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft s-weak hyper BCK-ideal, and fuzzy soft strong hyper BCK-ideal are introduced, and related properties and relations are investigated.
Found in: ključnih besedah
Summary of found: ...BCK-algebras. The notions of fuzzy soft hyper BCK- ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft...
Keywords: fuzzy soft hyper BCK-ideal, fuzzy soft weak hyper BCK-ideal, fuzzy soft s-weak hyper BCK-ideal, fuzzy soft strong hyper BCK-ideal
Published: 24.02.2020; Views: 2033; Downloads: 0
Fulltext (108,62 KB) |
20. Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-AlgebrasHashem Bordbar, 2020, original scientific article Found in: ključnih besedah
Summary of found: ...zeromeet element, meet ideal, relative annihilator, semi-prime map, meet map,
(semi-prime, meet)...
Keywords: zeromeet element, meet ideal, relative annihilator, semi-prime map, meet map, (semi-prime, meet) weak closure operation
Published: 21.04.2020; Views: 1886; Downloads: 0
Fulltext (221,66 KB) |
