NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS

NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS
Author: Mehmet Ali Ozturk
Publisher: Infinite Study
Total Pages: 17
Release:
Genre:
ISBN:

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

Length Neutrosophic Subalgebras of BCK/BCI-Algebras
Author: Young Bae Jun
Publisher: Infinite Study
Total Pages: 23
Release: 2020-09-01
Genre: Mathematics
ISBN:

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.

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
Total Pages: 23
Release:
Genre: Mathematics
ISBN:

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.

BCK-algebras

BCK-algebras
Author: Jie Meng
Publisher:
Total Pages: 294
Release: 1994-06-01
Genre: Algebra
ISBN: 9788972821175

BMBJ-neutrosophic ideals in BCK/BCI-algebras

BMBJ-neutrosophic ideals in BCK/BCI-algebras
Author: M. Mohseni Takallo
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

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.

BCI-Algebra

BCI-Algebra
Author: Yisheng Huang
Publisher: Elsevier
Total Pages: 368
Release: 2006
Genre: Business & Economics
ISBN: 9787030154118

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

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
Total Pages: 439
Release: 2019-10-25
Genre: Mathematics
ISBN: 1799801926

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.