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

Author: Young Bae Jun

Publisher: Infinite Study

Published:

Total Pages: 14

ISBN-13:

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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

Published:

Total Pages: 13

ISBN-13:

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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

Published:

Total Pages: 16

ISBN-13:

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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

Published:

Total Pages: 14

ISBN-13:

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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

Published:

Total Pages: 13

ISBN-13:

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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

Published:

Total Pages: 15

ISBN-13:

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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

Published:

Total Pages: 16

ISBN-13:

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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

Published:

Total Pages: 252

ISBN-13:

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“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

Published:

Total Pages: 252

ISBN-13:

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“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

Published: 2018

Total Pages: 174

ISBN-13: 1599735970

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“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.