Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras
Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras

Author: M. Mohseni Takallo

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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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.

Implicative Neutrosophic Quadruple BCK-Algebras and Ideals
Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Author: G. Muhiuddin

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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A neutrosophic set is initiated by Smarandache, and it is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. The concept of neutrosophic quadruple numbers was introduced by Florentin Smarandache. Using this idea, Jun et al. introduced the notion of neutrosophic quadruple BCK/BCI-numbers, and studied neutrosophic quadruple BCK/BCI-algebras.

NEUTROSOPHIC QUADRUPLE BCI-COMMUTATIVE IDEALS
NEUTROSOPHIC QUADRUPLE BCI-COMMUTATIVE IDEALS

Author: GHOLAM REZA REZAEI

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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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.

Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras
Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras

Author: G. Muhiuddin

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple ideals and investigate their related properties. Also, for any two nonempty subsets U and V of a BCI-algebra S, conditions for the set NQ(U; V ) to be a (regular) neutrosophic quadruple ideal and a neutrosophic quadruple q-ideal of a neutrosophic quadruple BCI-algebra NQ(S) are discussed.

Implicative Neutrosophic Quadruple BCK-Algebras and Ideals
Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Author: G. Muhiuddin

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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A neutrosophic set is initiated by Smarandache, and it is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. The concept of neutrosophic quadruple numbers was introduced by Florentin Smarandache.

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.

Neutrosophic Quadruple BCK/BCI-Algebras
Neutrosophic Quadruple BCK/BCI-Algebras

Author: Young Bae Jun

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed.

Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties
Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties

Author: Mumtaz Ali

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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The theory of soluble groups and nilpotent groups is old and hence a generalized on. In this paper, we introduced neutrosophic soluble groups and neutrosophic nilpotent groups which have some kind of indeterminacy. These notions are generalized to the classic notions of soluble groups and nilpotent groups. We also derive some new type of series which derived some new notions of soluble groups and nilpotent groups. They are mixed neutrosophic soluble groups and mixed neutrosophic nilpotent groups as well as strong neutrosophic soluble groups and strong neutrosophic nilpotent groups.

Neutrosophic Sets and Systems, Vol. 40, 2021
Neutrosophic Sets and Systems, Vol. 40, 2021

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 279

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: An International Book Series in Information Science and Engineering, vol. 25 / 2019
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 201

ISBN-13: 1599735997

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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.