41. Soft set theory and hypercompositional algebrasHashem Bordbar, 2020, objavljeni povzetek znanstvenega prispevka na konferenci Opis: 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.
Najdeno v: osebi
Ključne besede: Soft set theory, Hyper BCK-algebra, Fuzzy soft set theory.
Objavljeno: 08.07.2020; Ogledov: 1658; Prenosov: 0
 Polno besedilo (60,17 KB) |
42. A GENERAL MODEL OF NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTSHashem Bordbar, Rajab Ali Borzooei, Florentin Smarandache, Young Bae Jun, 2020, izvirni znanstveni članek Opis: More general form of (∈, ∈∨q)-neutrosophic ideal is introduced, and their prop- erties are investigated. Relations between (∈, ∈)-neutrosophic ideal and (∈, ∈ ∨q(kT ,kI ,kF ) )-neutrosophic ideal are discussed. Characterizations of (∈, ∈ ∨q(kT ,kI ,kF ) )-neutrosophic ideal are discussed, and conditions for a neutrosophic set to be an (∈, ∈∨q(kT ,kI,kF ))-neutrosophic ideal are displayed.
Najdeno v: osebi
Ključne besede: Ideal, neutrosophic ∈-subset, neutrosophic qk-subset, neutrosophic ∈∨qk-subset, (∈, ∈ ∨q(kT, kI, kF ))-neutrosophic ideal.
Objavljeno: 31.08.2020; Ogledov: 1603; Prenosov: 0
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46. Implicative falling neutrosophic ideals of BCK-algebrasRajab Ali Borzooei, Young Bae Jun, Florentin Smarandache, Hashem Bordbar, Xiao Long Xin, 2021, izvirni znanstveni članek Opis: The notions of an implicative (2; 2)-neutrosophic ideal and an implicative falling neutrosophic ideal are
introduced, and several properties are investigated. Characterizations of an implicative (2; 2)-neutrosophic ideal
are considered, and relations between an implicative (2; 2)-neutrosophic ideal and an (2; 2)-neutrosophic ideal are
discussed. Conditions for an (2; 2)-neutrosophic ideal to be an implicative (2; 2)-neutrosophic ideal are provided,
and relations between an implicative (2; 2)-neutrosophic ideal, a falling neutrosophic ideal and an implicative falling
neutrosophic ideal are studied. Conditions for a falling neutrosophic ideal to be implicative are provided. Relations
between implicative falling neutrosophic ideal, commutative falling neutrosophic ideal and positive implicative falling
neutrosophic ideal are discussed.
Najdeno v: osebi
Ključne besede: neutrosophic random set, neutrosophic falling shadow, (positive implicative) (2, 2)-neutrosophic ideal, (positive implicative) falling neutrosophic ideal, (commutative) (2, 2)-neutrosophic ideal, (commutative) falling neutrosophic ideal
Objavljeno: 15.03.2021; Ogledov: 1276; Prenosov: 0
Polno besedilo (325,52 KB) |
47. Internal and external cubic subalgebras of BCK/BCI-algebrasYoung Bae Jun, Mohammad Mehdi Zahedi, Hashem Bordbar, 2021, izvirni znanstveni članek Opis: A characterization of cubic subalgebra is established. The notion of
internal and external cubic subalgebra in BCK\BCI-algebra, and several properties
are investigated. The R-union, R-intersection, P-union, and P-intersection of internal
and external cubic subalgebras in BCK=BCI-algebra are discussed.
Najdeno v: osebi
Ključne besede: subalgebra, internal cubic subalgebra, external cubic subalgebra
Objavljeno: 07.04.2021; Ogledov: 1055; Prenosov: 0
Polno besedilo (362,75 KB) |
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49. Interior BCK/BCI-algebrasYoung Bae Jun, Hashem Bordbar, Sun Shin Ahn, 2021, izvirni znanstveni članek Opis: The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related properties are investigated. A mapping is provided to the set of all involutions of a bounded BCK-algebra in relation to any interior BCKalgebra so that the set of all involutions of a bounded BCK-algebra can be an interior BCK-algebra. The relationship between interior ideals, weak interior ideals, and positive implicative interior ideals is established. The conditions under which a weak interior ideal can change to an interior ideal are founded. The conditions for an interior ideal to be a positive implicative interior ideal are provided. The scalability for a positive implicative interior ideal is discussed. The relationship between type 1, type 2, and type 3 on positive implicative weak interior ideals are investigated. The relationship between weak interior ideal and positive implicative weak interior ideal of type 1, type 2, and type 3 are established.
Najdeno v: osebi
Ključne besede: interior BCK/BCI-algebras, positive implicative interior, BCK-algebras, (weak) interior ideals, positive implicative interior ideals
Objavljeno: 21.07.2021; Ogledov: 1016; Prenosov: 38
Polno besedilo (1,87 MB)
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50. Codes generated by ordered algebraic structuresHashem Bordbar, 2021, objavljeni povzetek znanstvenega prispevka na konferenci Opis: 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.
Najdeno v: osebi
Ključne besede: coding theory, BCK-algebra, BL-algebra
Objavljeno: 20.08.2021; Ogledov: 1089; Prenosov: 139
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