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11.
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: ...number is considered, and a neutrosophic quadruple BCK/BCI- algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is...
Keywords: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Published: 01.12.2019; Views: 1264; Downloads: 0
.pdf Fulltext (284,81 KB)

12.
A Finite type Closure Operations on BCK-algebras
Hashem Bordbar, 2016, original scientific article

Abstract: In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. 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: ...cl-closed) closure operations on ideals of a BCK- algebra, with an emphasis on structural properties. Also...
Keywords: BCI-algebra, BCK-algebra, closure operation, finite type closure operation.
Published: 01.12.2019; Views: 1232; Downloads: 0
.pdf Fulltext (257,89 KB)

13.
SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA
Hashem Bordbar, 2015, original scientific article

Abstract: In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.
Found in: ključnih besedah
Keywords: BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation.
Published: 01.12.2019; Views: 1237; Downloads: 0
.pdf Fulltext (194,69 KB)

14.
Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
2020, 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, BCK-algebra, multiautomatom, artificial neuron, hypergraph
Published: 27.03.2020; Views: 1038; Downloads: 0
.pdf Fulltext (6,75 MB)

15.
Soft set theory and hypercompositional algebras
Hashem 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 decision-making 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 BCK-algebra. 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 BCK-algebra, Fuzzy soft set theory.
Published: 08.07.2020; Views: 911; Downloads: 0
.pdf Fulltext (60,17 KB)

16.
Double-framed soft set theory applied to hyper BCK-algebras
Hashem Bordbar, 2020, original scientific article

Abstract: The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double- framed soft hyper BCK-ideal are considered. Relations between double-framed soft hyper BCK-ideal and double-framed soft strong hyper BCK-ideal are discussed. Conditions for a double-framed soft set to be a double-framed soft strong hyper BCK-ideal are provided.
Found in: ključnih besedah
Summary of found: ...The notions of double-framed soft hyper BCK- algebra and double-framed soft (strong) hyper BCK-ideal of...
Keywords: double-framed soft hyper BCK-algebra, double-framed soft (strong) hyper BCK-ideal.
Published: 31.08.2020; Views: 932; Downloads: 0
.pdf Fulltext (196,82 KB)

17.
Symmetry in the Theory of Dependence Relations
Irina Cristea, 2021, published scientific conference contribution abstract

Found in: ključnih besedah
Keywords: dependence relation, degree of influence, degree of impact, fuzzy set, hypercompositional algebra
Published: 10.08.2021; Views: 242; Downloads: 8
.pdf Fulltext (216,43 KB)

18.
Codes generated by ordered algebraic structures
Hashem Bordbar, 2021, published scientific conference contribution abstract

Abstract: Error-control codes are used to detect and correct errors that occur when data are trans-mitted across some noisy channel or stored on some medium. The study of error-control 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 BCK-algebras and BL-algebras. For this goal, symmetric rela-tions 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, BCK-algebra, BL-algebra
Published: 20.08.2021; Views: 251; Downloads: 90
URL Fulltext (0,00 KB)
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