Author: Seon Jeong Kim
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK=BCI-algebras by using the notion of neutrosophic points.
Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points
Author: Seon Jeong Kim
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK=BCI-algebras by using the notion of neutrosophic points.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK=BCI-algebras by using the notion of neutrosophic points.
Polarity of generalized neutrosophic subalgebras in BCK/BCI-algebras
Author: Rajab Ali Borzooei
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 23
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 23
Book Description
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.
NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS
Author: Mehmet Ali Ozturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 17
Book Description
The concept of neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 17
Book Description
The concept of neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.
Length Neutrosophic Subalgebras of BCK/BCI-Algebras
Author: Young Bae Jun
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 23
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 23
Book Description
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.
BCK-algebras
Author: Jie Meng
Publisher:
ISBN: 9788972821175
Category : Algebra
Languages : en
Pages : 294
Book Description
Publisher:
ISBN: 9788972821175
Category : Algebra
Languages : en
Pages : 294
Book Description
BMBJ-neutrosophic ideals in BCK/BCI-algebras
Author: M. Mohseni Takallo
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16
Book Description
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.
Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures
Author: Jana, Chiranjibe
Publisher: IGI Global
ISBN: 1799801926
Category : Mathematics
Languages : en
Pages : 439
Book Description
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.
Publisher: IGI Global
ISBN: 1799801926
Category : Mathematics
Languages : en
Pages : 439
Book Description
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.
BCI-Algebra
Author: Yisheng Huang
Publisher: Elsevier
ISBN: 9787030154118
Category : Business & Economics
Languages : en
Pages : 368
Book Description
Distributed by Elsevier Science on behalf of Science Press. This book is mainly designed for graduate students who are interested in the theory of BCK and BCI-algebras. It introduces the general theoretical basis of BCI-algebras, omitting difficult proofs and abstract topics which are less necessary for beginners to learn. With abundant examples and exercises arranged after each section, it provides readers with easy-to-follow steps into this field. Specially designed for graduate students with emphasis on elementary knowledge in this field Organizes knowledge points systematically and highlights various arguments on vital topics to make them easy to be understand Gives many examples to clarify important notations and terminologies and abundant of classified exercises after each chapter for revision purposes
Publisher: Elsevier
ISBN: 9787030154118
Category : Business & Economics
Languages : en
Pages : 368
Book Description
Distributed by Elsevier Science on behalf of Science Press. This book is mainly designed for graduate students who are interested in the theory of BCK and BCI-algebras. It introduces the general theoretical basis of BCI-algebras, omitting difficult proofs and abstract topics which are less necessary for beginners to learn. With abundant examples and exercises arranged after each section, it provides readers with easy-to-follow steps into this field. Specially designed for graduate students with emphasis on elementary knowledge in this field Organizes knowledge points systematically and highlights various arguments on vital topics to make them easy to be understand Gives many examples to clarify important notations and terminologies and abundant of classified exercises after each chapter for revision purposes
Generalizations of neutrosophic subalgebras in BCK/BCI-algebras based on neutrosophic points
Author: Seon Jeong Kim
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
As a more general platform which extends the notions of the classical set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set, Smarandache developed the concept of neutrosophic set which consists of three member functions, so called truth membership function, indeterminacy membership function and falsity membership function.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
As a more general platform which extends the notions of the classical set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set, Smarandache developed the concept of neutrosophic set which consists of three member functions, so called truth membership function, indeterminacy membership function and falsity membership function.
Commutative Generalized Neutrosophic Ideals in BCK-Algebras
Author: Rajab Ali Borzooei
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15
Book Description
The concept of a commutative generalized neutrosophic ideal in a BCK-algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in BCK-algebras are introduced, and some properties are investigated.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15
Book Description
The concept of a commutative generalized neutrosophic ideal in a BCK-algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in BCK-algebras are introduced, and some properties are investigated.