Mathematics Of Fuzziness Basic Issues

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Mathematics of Fuzziness—Basic Issues

Author : Xuzhu Wang,Da Ruan,Etienne E. Kerre
Publisher : Springer
Page : 220 pages
File Size : 43,8 Mb
Release : 2009-03-11
Category : Mathematics
ISBN : 9783540783114

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Mathematics of Fuzziness—Basic Issues by Xuzhu Wang,Da Ruan,Etienne E. Kerre Pdf

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.

Fuzzy Optimization

Author : Weldon A. Lodwick,JANUSZ KACPRZYK
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 45,9 Mb
Release : 2010-07-12
Category : Computers
ISBN : 9783642139345

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Fuzzy Optimization by Weldon A. Lodwick,JANUSZ KACPRZYK Pdf

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.

Mathematics of Fuzzy Sets and Fuzzy Logic

Author : Barnabas Bede
Publisher : Springer
Page : 281 pages
File Size : 44,8 Mb
Release : 2012-12-14
Category : Technology & Engineering
ISBN : 9783642352218

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Mathematics of Fuzzy Sets and Fuzzy Logic by Barnabas Bede Pdf

This book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight into Fuzzy Logic. Fuzzy Sets have been introduced by Lotfi Zadeh in 1965 and since then, they have been used in many applications. As a consequence, there is a vast literature on the practical applications of fuzzy sets, while theory has a more modest coverage. The main purpose of the present book is to reduce this gap by providing a theoretical introduction into Fuzzy Sets based on Mathematical Analysis and Approximation Theory. Well-known applications, as for example fuzzy control, are also discussed in this book and placed on new ground, a theoretical foundation. Moreover, a few advanced chapters and several new results are included. These comprise, among others, a new systematic and constructive approach for fuzzy inference systems of Mamdani and Takagi-Sugeno types, that investigates their approximation capability by providing new error estimates.

Transactions on Rough Sets XIX

Author : James F. Peters,Andrzej Skowron,Dominik Ślȩzak,Hung Son Nguyen,Jan G. Bazan
Publisher : Springer
Page : 367 pages
File Size : 49,7 Mb
Release : 2015-07-04
Category : Computers
ISBN : 9783662478158

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Transactions on Rough Sets XIX by James F. Peters,Andrzej Skowron,Dominik Ślȩzak,Hung Son Nguyen,Jan G. Bazan Pdf

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

Author : Cengiz Kahraman,Sezi Cevik Onar,Basar Oztaysi,Irem Ucal Sari,Selcuk Cebi,A. Cagri Tolga
Publisher : Springer Nature
Page : 1701 pages
File Size : 49,6 Mb
Release : 2020-07-10
Category : Technology & Engineering
ISBN : 9783030511562

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Intelligent and Fuzzy Techniques: Smart and Innovative Solutions by Cengiz Kahraman,Sezi Cevik Onar,Basar Oztaysi,Irem Ucal Sari,Selcuk Cebi,A. Cagri Tolga Pdf

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.

35 Years of Fuzzy Set Theory

Author : Chris Cornelis,Glad Deschrijver,Mike Nachtegael,Steven Schockaert,Yun Shi
Publisher : Springer
Page : 293 pages
File Size : 45,8 Mb
Release : 2010-10-14
Category : Technology & Engineering
ISBN : 9783642166297

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35 Years of Fuzzy Set Theory by Chris Cornelis,Glad Deschrijver,Mike Nachtegael,Steven Schockaert,Yun Shi Pdf

This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.

Intelligent and Fuzzy Systems

Author : Cengiz Kahraman,A. Cagri Tolga,Sezi Cevik Onar,Selcuk Cebi,Basar Oztaysi,Irem Ucal Sari
Publisher : Springer Nature
Page : 1028 pages
File Size : 54,9 Mb
Release : 2022-07-04
Category : Technology & Engineering
ISBN : 9783031091735

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Intelligent and Fuzzy Systems by Cengiz Kahraman,A. Cagri Tolga,Sezi Cevik Onar,Selcuk Cebi,Basar Oztaysi,Irem Ucal Sari Pdf

This book presents recent research in intelligent and fuzzy techniques on digital transformation and the new normal, the state to which economies, societies, etc. settle following a crisis bringing us to a new environment. Digital transformation and the new normal-appearing in many areas such as digital economy, digital finance, digital government, digital health, and digital education are the main scope of this book. The readers can benefit from this book for preparing for a digital “new normal” and maintaining a leadership position among competitors in both manufacturing and service companies. Digitizing an industrial company is a challenging process, which involves rethinking established structures, processes, and steering mechanisms presented in this book. The intended readers are intelligent and fuzzy systems researchers, lecturers, M.Sc., and Ph.D. students studying digital transformation and new normal. The book covers fuzzy logic theory and applications, heuristics, and metaheuristics from optimization to machine learning, from quality management to risk management, making the book an excellent source for researchers.

Production Engineering and Management under Fuzziness

Author : Cengiz Kahraman,Mesut Yavuz
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 46,5 Mb
Release : 2010-05-19
Category : Business & Economics
ISBN : 9783642120510

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Production Engineering and Management under Fuzziness by Cengiz Kahraman,Mesut Yavuz Pdf

Production engineering and management involve a series of planning and control activities in a production system. A production system can be as small as a shop with only one machine or as big as a global operation including many manufacturing plants, distribution centers, and retail locations in multiple continents. The product of a production system can also vary in complexity based on the material used, technology employed, etc. Every product, whether a pencil or an airplane, is produced in a system which depends on good management to be successful. Production management has been at the center of industrial engineering and management science disciplines since the industrial revolution. The tools and techniques of production management have been so successful that they have been adopted to various service industries, as well. The book is intended to be a valuable resource to undergraduate and graduate students interested in the applications of production management under fuzziness. The chapters represent all areas of production management and are organized to reflect the natural order of production management tasks. In all chapters, special attention is given to applicability and wherever possible, numerical examples are presented. While the reader is expected to have a fairly good understanding of the fuzzy logic, the book provides the necessary notation and preliminary knowledge needed in each chapter.

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

Author : Said Melliani,Oscar Castillo
Publisher : Springer Nature
Page : 285 pages
File Size : 53,5 Mb
Release : 2020-10-12
Category : Technology & Engineering
ISBN : 9783030539290

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Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics by Said Melliani,Oscar Castillo Pdf

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.

Linguistic Fuzzy Logic Methods in Social Sciences

Author : Badredine Arfi
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 52,5 Mb
Release : 2010-06-17
Category : Computers
ISBN : 9783642133428

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Linguistic Fuzzy Logic Methods in Social Sciences by Badredine Arfi Pdf

The book, titled “Linguistic Fuzzy-Logic Methods in Social Sciences,” is a first in its kind. Linguistic fuzzy logic theory deals with sets or categories whose boundaries are blurry or, in other words, “fuzzy,” and which are expressed in a formalism that uses “words” to compute, not numbers, termed in engineering as “soft computing.” This book presents an accessible introduction to this linguistic fuzzy logic methodology, focusing on its applicability to social sciences. Specifically, this is the first book to propose an approach based on linguistic fuzzy-logic and the method of computing with words to the analysis of decision making processes, strategic interactions, causality, and data analysis in social sciences. The project consists of systematic, theoretical and practical discussions and developments of these new methods as well as their applications to various substantive issues of interest to international relations scholars, political scientists, and social scientists in general.

Fuzziness in Information Systems

Author : Miroslav Hudec
Publisher : Springer
Page : 198 pages
File Size : 44,7 Mb
Release : 2016-09-28
Category : Computers
ISBN : 9783319425184

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Fuzziness in Information Systems by Miroslav Hudec Pdf

This book is an essential contribution to the description of fuzziness in information systems. Usually users want to retrieve data or summarized information from a database and are interested in classifying it or building rule-based systems on it. But they are often not aware of the nature of this data and/or are unable to determine clear search criteria. The book examines theoretical and practical approaches to fuzziness in information systems based on statistical data related to territorial units. Chapter 1 discusses the theory of fuzzy sets and fuzzy logic to enable readers to understand the information presented in the book. Chapter 2 is devoted to flexible queries and includes issues like constructing fuzzy sets for query conditions, and aggregation operators for commutative and non-commutative conditions, while Chapter 3 focuses on linguistic summaries. Chapter 4 presents fuzzy logic control architecture adjusted specifically for the aims of business and governmental agencies, and shows fuzzy rules and procedures for solving inference tasks. Chapter 5 covers the fuzzification of classical relational databases with an emphasis on storing fuzzy data in classical relational databases in such a way that existing data and normal forms are not affected. This book also examines practical aspects of user-friendly interfaces for storing, updating, querying and summarizing. Lastly, Chapter 6 briefly discusses possible integration of fuzzy queries, summarization and inference related to crisp and fuzzy databases. The main target audience of the book is researchers and students working in the fields of data analysis, database design and business intelligence. As it does not go too deeply into the foundation and mathematical theory of fuzzy logic and relational algebra, it is also of interest to advanced professionals developing tailored applications based on fuzzy sets.

Discrete Mathematics and Symmetry

Author : Angel Garrido
Publisher : MDPI
Page : 458 pages
File Size : 41,8 Mb
Release : 2020-03-05
Category : Mathematics
ISBN : 9783039281909

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Discrete Mathematics and Symmetry by Angel Garrido Pdf

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 Methods for Customer Relationship Management and Marketing: Applications and Classifications

Author : Meier, Andreas
Publisher : IGI Global
Page : 388 pages
File Size : 53,6 Mb
Release : 2012-01-31
Category : Computers
ISBN : 9781466600966

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Fuzzy Methods for Customer Relationship Management and Marketing: Applications and Classifications by Meier, Andreas Pdf

"This book explores the possibilities and advantages created by fuzzy methods through the presentation of thorough research and case studies"--Provided by publisher.

Mathematical Models for Decision Making with Multiple Perspectives

Author : Maria Isabel Gomes,Nelson Chibeles Martins
Publisher : CRC Press
Page : 300 pages
File Size : 49,7 Mb
Release : 2022-08-04
Category : Mathematics
ISBN : 9781000647570

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Mathematical Models for Decision Making with Multiple Perspectives by Maria Isabel Gomes,Nelson Chibeles Martins Pdf

This book brings together, in a single volume, the fields of multicriteria decision making and multiobjective optimization that are traditionally covered separately. Both fields have in common the presence of multiple perspectives of looking at and evaluating decisions to be taken but they differ in the number of available alternatives. Multicriteria approaches deal with decision processes where a finite number of alternatives have to be evaluated while, in multiobjective optimization, this number is infinite and the space of alternatives continuous. This book is written for students of applied mathematics, engineering, and economics and management, with no assumed previous knowledge on the subject, as well as for practitioners in industry looking for techniques to support decision making. The mathematical formalism is very low, so that all materials are accessible to most readers. Nonetheless, a rich bibliography allows interested readers to access more technical literature. The textbook is organized in eleven chapters, each corresponding to a class of about two hours. A comprehensive set of examples is presented, allowing for a didactic approach when presenting the methodologies. Each chapter ends with exercises that are designed to develop problem-solving skills and to promote concepts retention.

Facets of Uncertainties and Applications

Author : Mihir K. Chakraborty,Andrzej Skowron,Manoranjan Maiti,Samarjit Kar
Publisher : Springer
Page : 343 pages
File Size : 55,9 Mb
Release : 2015-05-11
Category : Mathematics
ISBN : 9788132223016

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Facets of Uncertainties and Applications by Mihir K. Chakraborty,Andrzej Skowron,Manoranjan Maiti,Samarjit Kar Pdf

Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.