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Very True Pseudo Bck Algebras
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Book Synopsis VERY TRUE PSEUDO-BCK ALGEBRAS by : LAVINIA CORINA CIUNGU
Download or read book VERY TRUE PSEUDO-BCK ALGEBRAS written by LAVINIA CORINA CIUNGU and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduce the very true operators on pseudo-BCK algebras and we study their properties. We prove that the composition of two very true operators is a very true operator if and only if they commute.
Book Synopsis Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery by : Yong Liu
Download or read book Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery written by Yong Liu and published by Springer Nature. This book was released on 2019-11-06 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the recent advances in natural computation, fuzzy systems and knowledge discovery. Presenting selected, peer-reviewed papers from the 15th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019), held in Kunming, China, from 20 to 22 July 2019, it is a useful resource for researchers, including professors and graduate students, as well as R&D staff in industry.
Book Synopsis A Course in BE-algebras by : Sambasiva Rao Mukkamala
Download or read book A Course in BE-algebras written by Sambasiva Rao Mukkamala and published by Springer. This book was released on 2018-02-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified course in BE-algebras with a comprehensive introduction, general theoretical basis and several examples. It introduces the general theoretical basis of BE-algebras, adopting a credible style to offer students a conceptual understanding of the subject. BE-algebras are important tools for certain investigations in algebraic logic, because they can be considered as fragments of any propositional logic containing a logical connective implication and the constant "1", which is considered as the logical value “true”. Primarily aimed at graduate and postgraduate students of mathematics, it also helps researchers and mathematicians to build a strong foundation in applied abstract algebra. Presenting insights into some of the abstract thinking that constitutes modern abstract algebra, it provides a transition from elementary topics to advanced topics in BE-algebras. With abundant examples and exercises arranged after each section, it offers readers a comprehensive, easy-to-follow introduction to this field.
Book Synopsis Non-commutative Multiple-Valued Logic Algebras by : Lavinia Corina Ciungu
Download or read book Non-commutative Multiple-Valued Logic Algebras written by Lavinia Corina Ciungu and published by Springer Science & Business Media. This book was released on 2013-08-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras; a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects. A study of the newest results in the field, the monograph includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, pseudo-MTL algebras, pseudo-BL algebras and pseudo-MV algebras. It provides a fresh perspective on new trends in logic and algebras in that algebraic structures can be developed into fuzzy logics which connect quantum mechanics, mathematical logic, probability theory, algebra and soft computing. Written in a clear, concise and direct manner, Non-Commutative Multiple-Valued Logic Algebras will be of interest to masters and PhD students, as well as researchers in mathematical logic and theoretical computer science.
Book Synopsis Some Implicativities for Groupoids and BCK-Algebras by : In Ho Hwang
Download or read book Some Implicativities for Groupoids and BCK-Algebras written by In Ho Hwang and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we generalize the notion of an implicativity discussed in BCK-algebras, and apply it to some groupoids and BCK-algebras. We obtain some relations among those axioms in the theory of groupoids.
Book Synopsis Implicative Neutrosophic Quadruple BCK-Algebras and Ideals by : G. Muhiuddin
Download or read book Implicative Neutrosophic Quadruple BCK-Algebras and Ideals written by G. Muhiuddin and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis BCK Algebras Versus M-BCK Algebras. Foundations by : Afrodita Iorgulescu
Download or read book BCK Algebras Versus M-BCK Algebras. Foundations written by Afrodita Iorgulescu and published by . This book was released on 2022-10-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gathers the author's results obtained since April 2019, which have been published in seven papers. Starting from the frame-work centered on BCK algebras, m-BCK algebras are defi ned ('m' coming from 'magma') (algebras including the MV and the Boolean algebras) and other more general algebras, thus obtaining an analogous new frame-work, centered on m-BCK algebras. 'Bridge theorems' connecting the two frameworks are obtained, in the involutive case. Incorporated within this new frame-work are the quantum structures: the bounded involutive lattices, the De Morgan algebras, the ortholattices, the quantum MV algebras, the orthomodular lattices, with important new results and many examples obtained by using the computer program Prover9/Mace4. Also included in the book are some new results, never published before, on L algebras, on quantum B algebras, pseudo-BCI/pseudo-BCK algebras and prealgebras (in the non-commutative case) and important final results on quantum structures, with many examples. This monograph has 17 chapters, divided into three parts: Part I focuses on the 'world' of BCK algebras and of pseudo-BCK algebras, Part II concentrates on the 'world' of m-BCK algebras and Part III is about 'bridge theorems' between the two 'worlds'.
Book Synopsis Discrete Mathematics and Symmetry by : Angel Garrido
Download or read book Discrete Mathematics and Symmetry written by Angel Garrido and published by MDPI. This book was released on 2020-03-05 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.
Book Synopsis Combinatorics, Computability and Logic by : C.S. Calude
Download or read book Combinatorics, Computability and Logic written by C.S. Calude and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the Third Discrete Mathematics and Theoretical Computer Science Conference (DMTCS1), which was held at 'Ovidius'University Constantza, Romania in July 2001. The conference was open to all areas of discrete mathematics and theoretical computer science, and the papers contained within this volume cover topics such as: abstract data types and specifications; algorithms and data structures; automata and formal languages; computability, complexity and constructive mathematics; discrete mathematics, combinatorial computing and category theory; logic, nonmonotonic logic and hybrid systems; molecular computing.
Book Synopsis Quantitative Logic and Soft Computing by : Guojun Wang
Download or read book Quantitative Logic and Soft Computing written by Guojun Wang and published by World Scientific. This book was released on 2012-04-27 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The QL&SC 2012 is a major symposium for scientists, and practitioners all around the world to present their latest researches, results, ideas, developments and applications in such areas as quantitative logic, many-valued logic, fuzzy logic, quantification of software, artificial intelligence, fuzzy sets and systems and soft computing. This invaluable book provides a broad introduction to the fuzzy reasoning and soft computing. It is certain one should not go too far in approximation and optimization, and a certain degree must be kept in mind. This is the essential idea of quantitative logic and soft computing. The explanations in the book are complete to provide the necessary background material needed to go further into the subject and explore the research literature. It is suitable reading for graduate students. It provides a platform for mutual exchanges from top experts and scholars around the world in this field. Contents:KeynotesQuantitative LogicSoft Computing and Automata TheoryFuzzy Sets and Order Structures Readership: Graduate and researcher in the field of logic and set theory, fuzzy logic, artificial intelligence and theoretical computer science. Keywords:Quantitative Logic;Soft Computing;Artificial Intelligence
Book Synopsis Quantitative Logic and Soft Computing by : Yongming Li
Download or read book Quantitative Logic and Soft Computing written by Yongming Li and published by World Scientific. This book was released on 2012 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The QL&SC 2012 is a major symposium for scientists, and practitioners all around the world to present their latest researches, results, ideas, developments and applications in such areas as quantitative logic, many-valued logic, fuzzy logic, quantification of software, artificial intelligence, fuzzy sets and systems and soft computing. This invaluable book provides a broad introduction to the fuzzy reasoning and soft computing. It is certain one should not go too far in approximation and optimization, and a certain degree must be kept in mind. This is the essential idea of quantitative logic and soft computing. The explanations in the book are complete to provide the necessary background material needed to go further into the subject and explore the research literature. It is suitable reading for graduate students. It provides a platform for mutual exchanges from top experts and scholars around the world in this field.
Book Synopsis Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras by : Songtao Shao
Download or read book Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras written by Songtao Shao and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of the neutrosophic hesitant fuzzy subalgebra and neutrosophic hesitant fuzzy filter in pseudo-BCI algebras are introduced, and some properties and equivalent conditions are investigated.
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. The new concepts of neutrosophic filter, neutrosophic normal filter, antigrouped neutrosophic filter, and neutrosophic p-filter in pseudo-BCI algebras are proposed, and their basic properties are presented. Moreover, by using the concept of (alpha, beta, gamma)-level set in neutrosophic sets, the relationships between fuzzy filters and neutrosophic filters are discussed.
Download or read book Mathematical Reports written by and published by . This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Neutrosophic Sets and Systems, vol. 17/2017 by : Yingcang Ma
Download or read book Neutrosophic Sets and Systems, vol. 17/2017 written by Yingcang Ma and published by Infinite Study. This book was released on with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Book Synopsis Commutative Generalized Neutrosophic Ideals in BCK-Algebras by : Rajab Ali Borzooei
Download or read book Commutative Generalized Neutrosophic Ideals in BCK-Algebras written by Rajab Ali Borzooei and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fuzzy Systems and Data Mining III by : A.J. Tallón-Ballesteros
Download or read book Fuzzy Systems and Data Mining III written by A.J. Tallón-Ballesteros and published by IOS Press. This book was released on 2017-11-07 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data science is proving to be one of the major trends of the second decade of the 21st century. Even though the term was coined by Peter Naur in the mid 1960s as ‘datalogy’, or the science of data, it is in the context of data analytics, and especially of big data, that data science has emerged as the new paradigm. Fuzzy and Crisp strategies are two of the most widespread approaches within the computational intelligence umbrella. This book presents 65 papers from the 3rd International Conference on Fuzzy Systems and Data Mining (FSDM 2017), held in Hualien, Taiwan, in November 2017. All papers were carefully reviewed by program committee members, who took into consideration the breadth and depth of the research topics that fall within the scope of FSDM. Offering a state-of-the-art overview of fuzzy systems and data mining, the publication will be of interest to all those whose work involves data science.
