Author : Y.B. Jun
Publisher : Infinite Study
Page : 13 pages
File Size : 34,59 MB
Release :
Category : Mathematics
ISBN :
The notion of commutative MBJ-neutrosophic ideal is introduced, and several properties are investigated. Relations between MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal are considered. Characterizations of commutative MBJ-neutrosophic ideal are discussed.
Author : Young Bae Jun
Publisher : Infinite Study
Page : 14 pages
File Size : 20,83 MB
Release :
Category : Mathematics
ISBN :
The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for anMBJ-neutrosophic set to be anMBJ-neutrosophic ideal are provided. In a BCK/BCI-algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a BCK-algebra, a condition for an MBJ-neutrosophic subalgebra to be an MBJ-neutrosophic ideal is given. In a BCI-algebra, conditions for an MBJ-neutrosophic ideal to be an MBJ-neutrosophic subalgebra are considered. In an (S)-BCK-algebra, we show that every MBJ-neutrosophic ideal is an MBJ-neutrosophic -subalgebra, and a characterization of an MBJ-neutrosophic ideal is established.
Author : M. Mohseni Takallo
Publisher : Infinite Study
Page : 16 pages
File Size : 33,26 MB
Release :
Category : Mathematics
ISBN :
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.
Author : Kul Hur
Publisher : Infinite Study
Page : 14 pages
File Size : 44,21 MB
Release :
Category : Mathematics
ISBN :
The notion of positive implicative MBJ-neutrosophic ideal is introduced, and several properties are investigated. Relations between MBJ-neutrosophic ideal and positive implicative MBJ-neutrosophic ideal are discussed. Characterizations of positive implicative MBJ-neutrosophic ideal are displayed.
Author : M. Mohseni Takallo
Publisher : Infinite Study
Page : 11 pages
File Size : 35,73 MB
Release :
Category : Mathematics
ISBN :
Commutative neutrosophic quadruple ideals and BCK-algebras are discussed, and related properties are investigated. Conditions for the neutrosophic quadruple BCK-algebra to be commutative are considered. Given subsets A and B of a neutrosophic quadruple BCK-algebra, conditions for the set NQ(A;B) to be a commutative ideal of a neutrosophic quadruple BCK-algebra are provided.
Author : Abdelaziz Alsubie
Publisher : Infinite Study
Page : 15 pages
File Size : 39,15 MB
Release :
Category : Mathematics
ISBN :
In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper BCK-algebra. The notions of the MBJ-neutrosophic hyper BCK-ideal, the MBJ-neutrosophic weak hyper BCK-ideal, the MBJ-neutrosophic s-weak hyper BCK-ideal and the MBJ-neutrosophic strong hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.
Author : M. Mohseni Takallo
Publisher : Infinite Study
Page : 13 pages
File Size : 43,88 MB
Release :
Category : Mathematics
ISBN :
Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor,Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information.
Author : GHOLAM REZA REZAEI
Publisher : Infinite Study
Page : 15 pages
File Size : 32,46 MB
Release :
Category : Mathematics
ISBN :
The notion of a neutrosophic quadruple BCI-commutative ideal in a neutrosophic quadruple BCI-algebra is introduced, and several properties are investigated. Relations between a neutrosophic quadruple ideal and a neutrosophic quadruple BCI-commutative ideal are discussed, and conditions for the neutrosophic quadruple ideal to be a neutrosophic quadruple BCI-commutative ideal are given. Conditions for the neutrosophic quadruple set to be a neutrosophic quadruple BCI-commutative ideal are provided, and the extension property of a neutrosophic quadruple BCI-commutative ideal is considered.
Author : Rajab Ali Borzooei
Publisher : Infinite Study
Page : 16 pages
File Size : 12,48 MB
Release :
Category : Mathematics
ISBN :
The concepts of a positive implicative BMBJ-neutrosophic ideal is introduced, and several properties are investigated. Conditions for an MBJ-neutrosophic set to be a (positive implicative) BMBJ-neutrosophic ideal are provided. Relations between BMBJ-neutrosophic ideal and positive implicative BMBJ-neutrosophic ideal are discussed. Characterizations of positive implicative BMBJ-neutrosophic ideal are displayed.
Author : Surya Manokaran
Publisher : Infinite Study
Page : 12 pages
File Size : 35,99 MB
Release :
Category : Mathematics
ISBN :
This paper studies about the definition of MBJ – Neutrosophic set in 𝜷 – algebra, and introduce the concept of MBJ – Neutrosophic 𝜷 – subalgebra. Homomorphic image and inverse image of MBJ – Neutrosophic 𝜷 – subalgebra is provided. Also, Cartesian product of MBJ – Neutrosophic 𝜷 – subalgebra is studied.
