11. Neutrosophic Quadruple BCK/BCIAlgebrasHashem Bordbar, Young Bae Jun, Florentin Smarandache, Seokzun Song, 2018, original scientific article Abstract: The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCIalgebra, which consists of neutrosophic quadruple BCK/BCInumbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCKalgebra and a closed ideal in a neutrosophic quadruple BCIalgebra are studied. Given subsets A and B of a BCK/BCIalgebra, the set NQ(A,B)
, which consists of neutrosophic quadruple BCK/BCInumbers with a condition, is established. Conditions for the set NQ(A,B)
to be a (positive implicative) ideal of a neutrosophic quadruple BCKalgebra are provided, and conditions for the set NQ(A,B) to be a (closed) ideal of a neutrosophic quadruple BCIalgebra are given. An example to show that the set {0˜} is not a positive implicative ideal in a neutrosophic quadruple BCKalgebra is provided, and conditions for the set {0˜} to be a positive implicative ideal in a neutrosophic quadruple BCKalgebra are then discussed. Found in: ključnih besedah Summary of found: ...number is considered, and a neutrosophic quadruple BCK/BCI algebra, which consists of neutrosophic quadruple BCK/BCInumbers, is... Keywords: neutrosophic quadruple BCK/BCInumber, neutrosophic quadruple BCK/BCIalgebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal Published: 01.12.2019; Views: 1264; Downloads: 0 Fulltext (284,81 KB) 
12. A Finite type Closure Operations on BCKalgebrasHashem Bordbar, 2016, original scientific article Abstract: In this article we study the (finitetype, clclosed) closure operations on ideals of a BCKalgebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCKalgebra. 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. Found in: ključnih besedah Summary of found: ...clclosed) closure operations on ideals of a BCK algebra, with an emphasis on structural properties. Also... Keywords: BCIalgebra, BCKalgebra, closure operation, finite type closure operation. Published: 01.12.2019; Views: 1232; Downloads: 0 Fulltext (257,89 KB) 
13. SEMIPRIME CLOSURE OPERATIONS ON BCKALGEBRAHashem Bordbar, 2015, original scientific article Abstract: In this paper we study the (good) semiprime closure oper ations on ideals of a BCKalgebra, lower BCKsemilattice, Noetherian BCKalgebra and meet quotient ideal and then we give several theorems that make different (good) semiprime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semiprime closure operation, which is not a good semiprime. Finally by given the notion of “cfMax X”, we prove that every member of “cfMax X” is a prime ideal. Also, we conclude some more related results. Found in: ključnih besedah Keywords: BCIalgebra, BCKalgebra, closure operation, finite type closure operation, semiprime closure operation. Published: 01.12.2019; Views: 1237; Downloads: 0 Fulltext (194,69 KB) 
14. Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures2020, scientific monograph Found in: ključnih besedah Summary of found: ...rough set,fuzzy set, multiset, soft set, hyperhomography, BCK algebra, multiautomatom, artificial neuron,hypergraph... Keywords: symmetry, hypergroup, hyperring, hyperfield, fundamental relation, rough set, fuzzy set, multiset, soft set, hyperhomography, BCKalgebra, multiautomatom, artificial neuron, hypergraph Published: 27.03.2020; Views: 1038; Downloads: 0 Fulltext (6,75 MB) 
15. Soft set theory and hypercompositional algebrasHashem Bordbar, 2020, published scientific conference contribution abstract Abstract: Some applications of soft set theory and fuzzy soft set theory (as a generalization of the soft set theory) in the decisionmaking problem were investigated by Maji et al. in [1].
The aim of this manuscript is to apply the concept of (fuzzy) soft set theory in some hypercompositional structure and especially hyper BCKalgebra. Some notations related to our hyperstructure are introduced and some examples are provided. Found in: ključnih besedah Summary of found: ...in some hypercompositional structure and especially hyper BCK algebra. Some notations related to our hyperstructure are... Keywords: Soft set theory, Hyper BCKalgebra, Fuzzy soft set theory. Published: 08.07.2020; Views: 911; Downloads: 0 Fulltext (60,17 KB) 
16. Doubleframed soft set theory applied to hyper BCKalgebrasHashem Bordbar, 2020, original scientific article Abstract: The notions of doubleframed soft hyper BCKalgebra and doubleframed soft (strong) hyper BCKideal of a hyper BCKalgebra are introduced, and related properties are investigated. Characterizations of doubleframed soft hyper BCKalgebra and double framed soft hyper BCKideal are considered. Relations between doubleframed soft hyper BCKideal and doubleframed soft strong hyper BCKideal are discussed. Conditions for a doubleframed soft set to be a doubleframed soft strong hyper BCKideal are provided. Found in: ključnih besedah Summary of found: ...The notions of doubleframed soft hyper BCK algebra and doubleframed soft (strong) hyper BCKideal of... Keywords: doubleframed soft hyper BCKalgebra, doubleframed soft (strong) hyper BCKideal. Published: 31.08.2020; Views: 932; Downloads: 0 Fulltext (196,82 KB) 
17. 
18. Codes generated by ordered algebraic structuresHashem Bordbar, 2021, published scientific conference contribution abstract Abstract: Errorcontrol codes are used to detect and correct errors that occur when data are transmitted across some noisy channel or stored on some medium. The study of errorcontrol codes is called coding theory and emerged in 1948 by Claud Shannon's paper which demonstrated that by proper encoding of the data, errors induced by a noisy channel can be reduced to any desired level without sacrificing the rate of information transmission. Some algebraic structures, includes the study and discovery of various coding schemes, are used to increase the number of errors that can be corrected during data transmission. One of the classes of logical algebra is ordered algebras which were introduced by Imai and Iseki in 1966. In this note, I study the codes generating by the ordered algebraic structures such as BCKalgebras and BLalgebras. For this goal, symmetric relations on these ordered structures facilitate us to design the correspondence codeword. Moreover, I show that the structure of ordered algebra and the code generated by it will be the same. Found in: ključnih besedah Summary of found: ...sacrificing the rate of information transmission. Some algebraic structures, includes the study and discovery of... Keywords: coding theory, BCKalgebra, BLalgebra Published: 20.08.2021; Views: 251; Downloads: 90 Fulltext (0,00 KB) This document has many files! More...
