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Mathematics Of Fuzziness Basic Issues

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Mathematics Of Fuzziness Basic Issues

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Author : Xuzhu Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-03

Mathematics Of Fuzziness Basic Issues written by Xuzhu Wang 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 2009-04-03 with Mathematics categories.

Mathematics of Fuzziness – Basic Issues introduces a basic notion of ‘fuzziness’ and provides a conceptual mathematical framework to characterize such fuzzy phenomena in Studies in Fuzziness and Soft Computing. The book systematically presents a self-contained introduction to the essentials of mathematics of fuzziness ranging from fuzzy sets, fuzzy relations, fuzzy numbers, fuzzy algebra, fuzzy measures, fuzzy integrals, and fuzzy topology to fuzzy control in a strictly mathematical manner. It contains most of the authors’ research results in the field of fuzzy set theory and has evolved from the authors’ lecture notes to both undergraduate and graduate students over the last three decades. A lot of exercises in each chapter of the book are particularly suitable as a textbook for any undergraduate and graduate student in mathematics, computer science and engineering. The reading of the book will surely lay a solid foundation for further research on fuzzy set theory and its applications.

Mathematics Of Fuzziness Basic Issues

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Author : Xuzhu Wang
language : en
Publisher: Springer
Release Date : 2009-03-11

Mathematics Of Fuzziness Basic Issues written by Xuzhu Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-11 with Mathematics categories.

Fundamentals Of Fuzzy Sets

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Author : Didier Dubois
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fundamentals Of Fuzzy Sets written by Didier Dubois 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 2012-12-06 with Mathematics categories.

Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.

Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics

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Author : Said Melliani
language : en
Publisher: Springer Nature
Release Date : 2020-10-12

Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics written by Said Melliani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Technology & Engineering categories.

This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.

Discrete Mathematics And Symmetry

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Author : Angel Garrido
language : en
Publisher: MDPI
Release Date : 2020-03-05

Discrete Mathematics And Symmetry written by Angel Garrido and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Mathematics categories.

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.

Fuzzy Logic

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Author : Paul P. Wang
language : en
Publisher: Springer
Release Date : 2007-06-15

Fuzzy Logic written by Paul P. Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-15 with Technology & Engineering categories.

How far can you take fuzzy logic, the brilliant conceptual framework made famous by George Klir? With this book, you can find out. The authors of this updated edition have extended Klir’s work by taking fuzzy logic into even more areas of application. It serves a number of functions, from an introductory text on the concept of fuzzy logic to a treatment of cutting-edge research problems suitable for a fully paid-up member of the fuzzy logic community.

Fuzzy Optimization

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Author : Weldon A. Lodwick
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-12

Fuzzy Optimization written by Weldon A. Lodwick 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 2010-07-12 with Computers categories.

This potent area of technology allows us to formulate and solve a multitude of problems. Written by leading experts, this overview covers a number of aspects of fuzzy optimization, some related general issues, and various applications of this powerful tool.

Transactions On Rough Sets Xix

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Author : James F. Peters
language : en
Publisher: Springer
Release Date : 2015-07-04

Transactions On Rough Sets Xix written by James F. Peters and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-04 with Computers categories.

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. Volume XIX in the series focuses on the current trends and advances in both the foundations and practical applications of rough sets. It contains 7 extended and revised papers originally presented at the Workshop on Rough Set Applications, RSA 2012, held in Wroclaw, Poland, in September 2012. In addition, the book features 3 contributions in the category of short surveys and monographs on the topic.

Intelligent And Fuzzy Techniques Smart And Innovative Solutions

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Author : Cengiz Kahraman
language : en
Publisher: Springer Nature
Release Date : 2020-07-10

Intelligent And Fuzzy Techniques Smart And Innovative Solutions written by Cengiz Kahraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-10 with Technology & Engineering categories.

This book gathers the most recent developments in fuzzy & intelligence systems and real complex systems presented at INFUS 2020, held in Istanbul on July 21–23, 2020. The INFUS conferences are a well-established international research forum to advance the foundations and applications of intelligent and fuzzy systems, computational intelligence, and soft computing, highlighting studies on fuzzy & intelligence systems and real complex systems at universities and international research institutions. Covering a range of topics, including the theory and applications of fuzzy set extensions such as intuitionistic fuzzy sets, hesitant fuzzy sets, spherical fuzzy sets, and fuzzy decision-making; machine learning; risk assessment; heuristics; and clustering, the book is a valuable resource for academics, M.Sc. and Ph.D. students, as well as managers and engineers in industry and the service sectors.

Recent Advances In Fuzzy Sets Theory Fractional Calculus Dynamic Systems And Optimization

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Author : Said Melliani
language : en
Publisher: Springer Nature
Release Date : 2022-08-10

Recent Advances In Fuzzy Sets Theory Fractional Calculus Dynamic Systems And Optimization written by Said Melliani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-10 with Technology & Engineering categories.

We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.

Mathematics Of Fuzziness Basic Issues

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