On MBJ – Neutrosophic β – Subalgebra

On MBJ – Neutrosophic β – Subalgebra

Author: Surya Manokaran

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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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.


T-MBJ Neutrosophic Set under M-Subalgebra

T-MBJ Neutrosophic Set under M-Subalgebra

Author: Mohsin Khalid

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 16

ISBN-13:

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In this paper, the idea of T-MBJ neutrosophic set is introduced in which MBJ-neutrosophic set is used to present this new set called T-MBJ neutrosophic set. furthermore the notion of T-MBJ neutrosophic M-subalgebra on G-algebra is also introduced and provide the conditions for T-MBJ neutrosophic M-subalgebra. The word M in the term M-subalgebra, represents the initial of author's first name Mohsin. We study the T-MBJ neutrosophic set through different characteristics and also prove some results for better understanding of newly defined T-MBJ neutrosophic set.


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.


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 ideals of BCK/BCI-algebras

MBJ-neutrosophic ideals of BCK/BCI-algebras

Author: Young Bae Jun

Publisher: Infinite Study

Published:

Total Pages: 14

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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.


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 filters of equality algebras

MBJ-neutrosophic filters of equality algebras

Author: M. Mohseni Takallo

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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In this paper, we introduce the notion of MBJneutrosophic sub-algebra and MBJ-neutrosophic lter on equality algebras and investigate some equivalence de finitions, properties and the relation between them. Also, by using the notion of MBJ-neutrosophic lter, we introduce a congruence relation on equality algebra and show that the quotient is an equality algebra.


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.


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.