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 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. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied.


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.


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.


Length Neutrosophic Subalgebras of BCK/BCI-Algebras

Length Neutrosophic Subalgebras of BCK/BCI-Algebras

Author: Young Bae Jun

Publisher: Infinite Study

Published: 2020-09-01

Total Pages: 23

ISBN-13:

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The notion of (i; j; k)-length neutrosophic subalgebras in BCK/BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.


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.


Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Author: Jana, Chiranjibe

Publisher: IGI Global

Published: 2019-10-25

Total Pages: 439

ISBN-13: 1799801926

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In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.


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.


Polarity of generalized neutrosophic subalgebras in BCK/BCI-algebras

Polarity of generalized neutrosophic subalgebras in BCK/BCI-algebras

Author: Rajab Ali Borzooei

Publisher: Infinite Study

Published:

Total Pages: 23

ISBN-13:

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In the fuzzy set which is introduced by Zadeh, the membership degree is expressed by only one function so called the truth function. As a generalization of fuzzy set, intuitionistic fuzzy set is introduced by Atanassove by using membership function and nonmembership function.