MBJ-neutrosophic ideals of BCK/BCI-algebras

MBJ-neutrosophic ideals of BCK/BCI-algebras
Author: Young Bae Jun
Publisher: Infinite Study
Total Pages: 14
Release:
Genre: 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.

Commutative MBJ-neutrosophic ideals of BCK-algebras

Commutative MBJ-neutrosophic ideals of BCK-algebras
Author: Y.B. Jun
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: 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.

BMBJ-neutrosophic ideals in BCK/BCI-algebras

BMBJ-neutrosophic ideals in BCK/BCI-algebras
Author: M. Mohseni Takallo
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: 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.

Positive implicative MBJ-neutrosophic ideals of BCK/BCI-algebras

Positive implicative MBJ-neutrosophic ideals of BCK/BCI-algebras
Author: Kul Hur
Publisher: Infinite Study
Total Pages: 14
Release:
Genre: 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.

MBJ-neutrosophic structures and its applications in BCK=BCI-algebras

MBJ-neutrosophic structures and its applications in BCK=BCI-algebras
Author: M. Mohseni Takallo
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: 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.

MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras

MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras
Author: Abdelaziz Alsubie
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: 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.

Positive implicative BMBJ-neutrosophic ideals in BCK-algebras

Positive implicative BMBJ-neutrosophic ideals in BCK-algebras
Author: Rajab Ali Borzooei
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: 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.

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 252
Release:
Genre: Mathematics
ISBN:

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Sets and Systems, Vol. 27, 2019

Neutrosophic Sets and Systems, Vol. 27, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 252
Release:
Genre: Mathematics
ISBN:

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles from this issue: BMBJ-neutrosophic ideals in BCK/BCI-algebras, Neutrosophic General Finite Automata, Generalized Neutrosophic Exponential map, Implementation of Neutrosophic Function Memberships Using MATLAB Program.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 23 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 23 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 174
Release: 2018
Genre: Mathematics
ISBN: 1599735970

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.