Generalized Fuzzy Matrices And Relations
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Generalized Fuzzy Matrices And Relations
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Author : Herbert Toth
language : en
Publisher: World Scientific
Release Date : 2025-02-25
Generalized Fuzzy Matrices And Relations written by Herbert Toth and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-25 with Mathematics categories.
The book provides an overview of the main concepts and results related to fuzzy matrices and fuzzy relations, using 'fuzzy' in a general sense to mean many-valued. This overview, along with numerous references to original contributions dispersed across various journals, serves as a comprehensive guide for further exploration.This volume can be viewed in two ways: (i) as a companion to the author's previous work, 'Relations: Concrete, Abstract, and Applied' (published by WSPC, 2020), but with a distinct emphasis on many-valued concepts; or (ii) as a standalone volume that can be read independently, which necessarily includes some repetition of material from the earlier book as preliminary or reference content.Similar to the previous book, this one does not present new findings but offers a self-contained compilation of known results selected from the extensive research conducted over the past five decades, arranged in a systematic manner.The topics covered in this text have been the subject of intensive research over the last two decades, yet there has been no book publication on this subject for over 15 years. This book aims to bridge that gap.
Generalized Fuzzy Matrices Relationshb
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Author : Herbert Toth
language : en
Publisher: World Scientific Publishing Company
Release Date : 2025
Generalized Fuzzy Matrices Relationshb written by Herbert Toth and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics categories.
"The book provides an overview on the main concepts and results around fuzzy matrices and fuzzy relations ('fuzzy' taken in a general sense, meaning many-valued). This overview, together with a lot of links to original contributions scattered over many journals, should provide a sufficient guide for where to proceed. There are two ways how this volume can be regarded: (i) as a companion to my Relations: Concrete, Abstract, and Applied (also published by WSPC, 2020), but this time with a clear emphasis on the many-valued concepts, or (ii) as a stand-alone volume that can be read independently, hence necessarily including some repetitions from the former one as preliminary or reference material. As my former book, also this one does not really present new, but tries to give a rather self-contained compilation of known results selected from the huge amount attained over the last five decades and structured in a hopefully somewhat systematic arrangement. The topics dealt with in the current text have seen intensive research activities during the last two decades, but there has been no book publication for more than 15 years. So I have taken the opportunity to reduce the resulting gap"--
Relations Concrete Abstract And Applied An Introduction
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Author : Herbert Toth
language : en
Publisher: World Scientific
Release Date : 2020-06-22
Relations Concrete Abstract And Applied An Introduction written by Herbert Toth and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-22 with Mathematics categories.
The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.This book is unique by the spectrum of the topics it handles. As indicated in its title these are:
Fuzzy Relation Equations And Their Applications To Knowledge Engineering
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Author : Antonio Di Nola
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Fuzzy Relation Equations And Their Applications To Knowledge Engineering written by Antonio Di Nola and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery. But what is amazing is that the more we leam about the basically simple coneept of a relation, the more aware we become of its fundamental importanee and wide ranging ramifications. The work by Di Nola, Pedrycz, Sanchez, and Sessa takes us a long distanee in this direction by opening new vistas on both the theory and applications of fuzzy relations - relations which serve to model the imprecise coneepts which pervade the real world. Di Nola, Pedrycz, Sanchez, and Sessa focus their attention on a eentral problem in the theory of fuzzy relations, namely the solution of fuzzy relational equations. The theory of such equations was initiated by Sanchez in 1976, ina seminal paper dealing with the resolution of composite fuzzy relational equations. Sinee then, hundreds of papers have been written on this and related topics, with major contributions originating in France, Italy, Spain, Germany, Poland, Japan, China, the Soviet Union, India, and other countries. The bibliography included in this volume highlights the widespread interest in the theory of fuzzy relational equations and the broad spectrum of its applications.
Recent Developments Of Fuzzy Matrix Theory And Applications
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Author : Madhumangal Pal
language : en
Publisher: Springer Nature
Release Date : 2024-05-27
Recent Developments Of Fuzzy Matrix Theory And Applications written by Madhumangal Pal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-27 with Mathematics categories.
This book provides a comprehensive overview of the development of fuzzy matrix theory from its inception to its current state. It covers various types of fuzzy matrices, such as intuitionistic fuzzy matrices, interval-valued fuzzy matrices, interval-valued intuitionistic fuzzy matrices, bipolar fuzzy matrices, picture fuzzy matrices, neutrosophic fuzzy matrices, m-polar fuzzy matrices and similar one. Drawing primarily from the author's research work and collaborations, the book offers a state-of-the-art discussion of these topics. Theoretical concepts are illustrated with examples for clarity, accompanied by figures depicting fuzzy matrices and their variations. Suitable for both beginners and expert researchers, the book offers a wealth of material and includes numerous open problems at the end of almost all chapters to encourage further exploration and investigation.
Fuzzy Matrix
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Author : A. R. Meenakshi
language : en
Publisher: MJP Publisher
Release Date : 2019-06-11
Fuzzy Matrix written by A. R. Meenakshi and has been published by MJP Publisher this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Juvenile Fiction categories.
This book aims to introduce fuzzy matrix theory as a basic framework for characterizing the full scope of the fuzzy sets concept and its relationship with the increasingly important concept of information and complexity in various sciences and professions. The book provides a wide coverage on the theoretical developments of fuzzy matrices and fuzzy vector spaces, on the theory of generalized inverses for fuzzy matrices, on fuzzy relations and on partial orderings on fuzzy matrices. The book also discusses the role of fuzzy matrices in the spectral theory of linear transformations on finite dimensional vector spaces. The concept of fuzzy matrix and its applications in document retrieval system, medical diagnosis, database management system, decision making theory and dynamical systems are developediteratively and illustrated with suitable examples wherever necessary. Each chapter has brief notes and exercises for the benefit of students.
Uncertainty In Knowledge Bases
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Author : Bernadette Bouchon-Meunier
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-09-11
Uncertainty In Knowledge Bases written by Bernadette Bouchon-Meunier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-11 with Computers categories.
One out of every two men over eigthy suffers from carcinoma of the prostate.It is discovered incidentally in many patients with an alleged benign prostatic hyperplasia. In treating patients, the authors make clear that primary radical prostatectomy is preferred over transurethral resection due to the lower complication rate.
Neutrosophic Sets And Systems Vol 57 2023
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-04-01
Neutrosophic Sets And Systems Vol 57 2023 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-01 with Mathematics categories.
“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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Database Systems For Advanced Applications
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Author : Hong Gao
language : en
Publisher: Springer
Release Date : 2016-04-11
Database Systems For Advanced Applications written by Hong Gao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Computers categories.
This book constitutes the workshop proceedings of the 21st International Conference on Database Systems for Advanced Applications, DASFAA 2016, held in Dallas, TX, USA, in April 2016. The volume contains 32 full papers (selected from 43 submissions) from 4 workshops, each focusing on a specific area that contributes to the main themes of DASFAA 2016: The Third International Workshop on Semantic Computing and Personalization, SeCoP 2016; the Third International Workshop on Big Data Management and Service, BDMS 2016; the First International Workshop on Big Data Quality Management, BDQM 2016; and the Second International Workshop on Mobile of Internet, MoI 2016.
Readings In Fuzzy Sets For Intelligent Systems
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Author : Didier J. Dubois
language : en
Publisher: Morgan Kaufmann
Release Date : 2014-05-12
Readings In Fuzzy Sets For Intelligent Systems written by Didier J. Dubois and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Computers categories.
Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.