Bci Algebra

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BCI-Algebra

Author : Yisheng Huang
Publisher : Elsevier
ISBN 13 : 9787030154118
Total Pages : 368 pages
Book Rating : 4.1/5 (541 download)

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Book Synopsis BCI-Algebra by : Yisheng Huang

Download or read book BCI-Algebra written by Yisheng Huang and published by Elsevier. This book was released on 2006 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Neutrosophic BCI/BCK-Algebras

Author : A.A.A.Agboola
Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introduction to Neutrosophic BCI/BCK-Algebras by : A.A.A.Agboola

Download or read book Introduction to Neutrosophic BCI/BCK-Algebras written by A.A.A.Agboola and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the concept of neutrosophic BCI/BCK-algebras. Elementary properties of neutrosophic BCI/BCK algebras are presented.

NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS

Author : Xiaohong Zhang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS by : Xiaohong Zhang

Download or read book NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of the neutrosophic set was introduced by Smarandache; it is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. The notion of pseudo-BCI algebra was introduced by Dudek and Jun; it is a kind of nonclassical logic algebra and has a close connection with various noncommutative fuzzy logics. In this paper, neutrosophic set theory is applied to pseudo-BCI algebras.

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

Author : Mehmet Ali Ozturk
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS by : Mehmet Ali Ozturk

Download or read book NEUTROSOPHIC IDEALS IN BCK/BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS written by Mehmet Ali Ozturk and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 :
Total Pages : 23 pages
Book Rating : 4./5 ( download)

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Book Synopsis Length Neutrosophic Subalgebras of BCK/BCI-Algebras by : Young Bae Jun

Download or read book Length Neutrosophic Subalgebras of BCK/BCI-Algebras written by Young Bae Jun and published by Infinite Study. This book was released on 2020-09-01 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

BCC-Algebras

Author : Janus Thomys
Publisher : CRC Press
ISBN 13 : 1000804283
Total Pages : 332 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis BCC-Algebras by : Janus Thomys

Download or read book BCC-Algebras written by Janus Thomys and published by CRC Press. This book was released on 2022-12-23 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subjects described in this book are BCC-algebras and an even wider class of weak BCC-algebras. The aim of the book is to summarize the achievements to date in the subject and to present them in the form of a logically created theory. Through appropriate grading and a precise description of the steps of the proofs, this theory is easily assimilated, and it should not take too long for the reader to learn about it. We begin with the motivation for their creation, many examples, and basic results used later in the book. Then we deal with the constructions of BCC-algebras and calculate the numbers of their subalgebras. The author describes the so-called solid weak BCC-algebras. They have some properties of BCI-algebras, but this requires completely new, often difficult, proofs. The important subclasses of weak BCC-algebras and the relationships between them are presented with many examples. BCC-Algebras is intended for researchers dealing with abstract algebra and for logicians working on the border between logic and algebra. The book is also of interest to students interested in the theory of (weak) BCC-algebras or simply in abstract algebra. The structure of the book makes it possible to discover topics that require further research, which, depending on the degree of difficulty, may be completed with a thesis or dissertation.

Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras

Author : G. Muhiuddin
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras by : G. Muhiuddin

Download or read book Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras written by G. Muhiuddin and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple ideals and investigate their related properties.

Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points

Author : Seon Jeong Kim
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points by : Seon Jeong Kim

Download or read book Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points written by Seon Jeong Kim and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic Quadruple BCK/BCI-Algebras

Author : Young Bae Jun
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Quadruple BCK/BCI-Algebras by : Young Bae Jun

Download or read book Neutrosophic Quadruple BCK/BCI-Algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

BCK-algebras

Author : Jie Meng
Publisher :
ISBN 13 : 9788972821175
Total Pages : 294 pages
Book Rating : 4.8/5 (211 download)

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Book Synopsis BCK-algebras by : Jie Meng

Download or read book BCK-algebras written by Jie Meng and published by . This book was released on 1994-06-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

BMBJ-neutrosophic ideals in BCK/BCI-algebras

Author : M. Mohseni Takallo
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis BMBJ-neutrosophic ideals in BCK/BCI-algebras by : M. Mohseni Takallo

Download or read book BMBJ-neutrosophic ideals in BCK/BCI-algebras written by M. Mohseni Takallo and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Two dimensional event set and its application in algebraic structures

Author : Y.B. Jun
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Two dimensional event set and its application in algebraic structures by : Y.B. Jun

Download or read book Two dimensional event set and its application in algebraic structures written by Y.B. Jun and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dimensional event set is introduced, and it is applied to algebraic structures. Two dimensional BCK/BCI-eventful algebra, paired B-algebra and paired BCK/BCI-algebra are de ned, and several properties are investigated. Conditions for two dimensional eventful algebra to be a B-algebra and a BCK/BCI-algebra are provided. The process of inducing a paired B-algebra using a group is discussed. Using two dimensional BCI-eventful algebra, a commutative group is established.

MBJ-neutrosophic ideals of BCK/BCI-algebras

Author : Young Bae Jun
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis MBJ-neutrosophic ideals of BCK/BCI-algebras by : Young Bae Jun

Download or read book MBJ-neutrosophic ideals of BCK/BCI-algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On the structure of general algebras and its applications

Author : Young Joo Seo
Publisher : Infinite Study
ISBN 13 :
Total Pages : 79 pages
Book Rating : 4./5 ( download)

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Book Synopsis On the structure of general algebras and its applications by : Young Joo Seo

Download or read book On the structure of general algebras and its applications written by Young Joo Seo and published by Infinite Study. This book was released on with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we discuss some structural theory of a d-algebra which is a generalization of a BCK-algebra, and wedis uss analytic real algebras. We investigate several conditions for analytic real algebras to be d-algebras. Moreover, we introduce the notion of a Smarandacheness to BCI-algebras, and obtain several properties on Smarandache fuzzy BCI-algebras.

Neutrosophic subalgebras of several types in BCK/BCI-algebras

Author : Young Bae Jun
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic subalgebras of several types in BCK/BCI-algebras by : Young Bae Jun

Download or read book Neutrosophic subalgebras of several types in BCK/BCI-algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditions for a neutrosophic set to be a (q, ∈∨q)-neutrosophic subalgebra are considered.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Author : Florentin Smarandache
Publisher : MDPI
ISBN 13 : 3038974757
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 3038974765
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.