BCI-Algebra

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

BCC-Algebras

BCC-Algebras
Author: Janus Thomys
Publisher: CRC Press
Total Pages: 332
Release: 2022-12-23
Genre: Mathematics
ISBN: 1000804283
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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.

BCK-algebras

BCK-algebras
Author: Jie Meng
Publisher:
Total Pages: 294
Release: 1994-06-01
Genre: Algebra
ISBN: 9788972821175
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On the structure of general algebras and its applications

On the structure of general algebras and its applications
Author: Young Joo Seo
Publisher: Infinite Study
Total Pages: 79
Release:
Genre: Mathematics
ISBN:
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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.

Computer Science Logic

Computer Science Logic
Author: Jacques Duparc
Publisher: Springer
Total Pages: 611
Release: 2007-08-24
Genre: Computers
ISBN: 3540749152
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This book constitutes the refereed proceedings of the 21st International Workshop on Computer Science Logic, CSL 2007, held as the 16th Annual Conference of the EACSL in Lausanne, Switzerland. The 36 revised full papers presented together with the abstracts of six invited lectures are organized in topical sections on logic and games, expressiveness, games and trees, logic and deduction, lambda calculus, finite model theory, linear logic, proof theory, and game semantics.

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

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 452
Release:
Genre: Mathematics
ISBN: 3038974765
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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.

Collected Papers. Volume IX

Collected Papers. Volume IX
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 1008
Release: 2022-05-10
Genre: Mathematics
ISBN:
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This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

Fuzzy Sets, Fuzzy Logic and Their Applications

Fuzzy Sets, Fuzzy Logic and Their Applications
Author: Michael Gr. Voskoglou
Publisher: MDPI
Total Pages: 366
Release: 2020-03-25
Genre: Mathematics
ISBN: 3039285203
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The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity.

Two dimensional event set and its application in algebraic structures

Two dimensional event set and its application in algebraic structures
Author: Y.B. Jun
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:
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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.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Total Pages: 595
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401512884
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This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.