Logical Algebraic Analytic And Probabilistic Aspects Of Triangular Norms

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Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

Author : Erich Peter Klement
Publisher : Elsevier
ISBN 13 : 0080459536
Total Pages : 491 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms by : Erich Peter Klement

Download or read book Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms written by Erich Peter Klement and published by Elsevier. This book was released on 2005-03-25 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces. Key Features: - Complete state of the art of the importance of triangular norms in various mathematical fields - 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications - Chapter authors are leading authorities in their fields - Triangular norms on different domains (including discrete, partially ordered) are described - Not only triangular norms but also related operators (aggregation operators, copulas) are covered - Book contains many enlightening illustrations · Complete state of the art of the importance of triangular norms in various mathematical fields · 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications · Chapter authors are leading authorities in their fields · Triangular norms on different domains (including discrete, partially ordered) are described · Not only triangular norms but also related operators (aggregation operators, copulas) are covered · Book contains many enlightening illustrations

Triangular Norms

Author : Erich Peter Klement
Publisher : Springer Science & Business Media
ISBN 13 : 9401595402
Total Pages : 391 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Triangular Norms by : Erich Peter Klement

Download or read book Triangular Norms written by Erich Peter Klement and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.

On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

Author : Susanne Saminger-Platz
Publisher : Springer
ISBN 13 : 3319288083
Total Pages : 275 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory by : Susanne Saminger-Platz

Download or read book On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory written by Susanne Saminger-Platz and published by Springer. This book was released on 2016-01-11 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friends of Peter Klement, a leading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory. The book also includes advanced findings on topics inspired by Klement’s research activities, concerning copulas, measures and integrals, as well as aggregation problems. Some of the chapters reflect personal views and controversial aspects of traditional topics, while others deal with deep mathematical theories, such as the algebraic and logical foundations of fuzzy set theory and fuzzy logic. Originally thought as an homage to Peter Klement, the book also represents an advanced reference guide to the mathematical theories related to fuzzy logic and fuzzy set theory with the potential to stimulate important discussions on new research directions in the field.

Logic, Language, Information and Computation

Author : Wilfrid Hodges
Publisher : Springer
ISBN 13 : 3540699376
Total Pages : 313 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Logic, Language, Information and Computation by : Wilfrid Hodges

Download or read book Logic, Language, Information and Computation written by Wilfrid Hodges and published by Springer. This book was released on 2008-06-27 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 15th International Workshop on Logic, Language, Information and Computation, WoLLIC 2008, held in Edinburgh, UK, in July 2008. The 21 revised full papers presented together with the abstracts of 7 tutorials and invited lectures were carefully reviewed and selected from numerous submissions. The papers cover all pertinent subjects in computer science with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.

Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications

Author : Olga Kosheleva
Publisher : Springer Nature
ISBN 13 : 3030310418
Total Pages : 638 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications by : Olga Kosheleva

Download or read book Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications written by Olga Kosheleva and published by Springer Nature. This book was released on 2020-02-28 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.

Handbook of Granular Computing

Author : Witold Pedrycz
Publisher : John Wiley & Sons
ISBN 13 : 0470724153
Total Pages : 1148 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Handbook of Granular Computing by : Witold Pedrycz

Download or read book Handbook of Granular Computing written by Witold Pedrycz and published by John Wiley & Sons. This book was released on 2008-07-31 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the notion is a relatively recent one, the notions and principles of Granular Computing (GrC) have appeared in a different guise in many related fields including granularity in Artificial Intelligence, interval computing, cluster analysis, quotient space theory and many others. Recent years have witnessed a renewed and expanding interest in the topic as it begins to play a key role in bioinformatics, e-commerce, machine learning, security, data mining and wireless mobile computing when it comes to the issues of effectiveness, robustness and uncertainty. The Handbook of Granular Computing offers a comprehensive reference source for the granular computing community, edited by and with contributions from leading experts in the field. Includes chapters covering the foundations of granular computing, interval analysis and fuzzy set theory; hybrid methods and models of granular computing; and applications and case studies. Divided into 5 sections: Preliminaries, Fundamentals, Methodology and Algorithms, Development of Hybrid Models and Applications and Case Studies. Presents the flow of ideas in a systematic, well-organized manner, starting with the concepts and motivation and proceeding to detailed design that materializes in specific algorithms, applications and case studies. Provides the reader with a self-contained reference that includes all pre-requisite knowledge, augmented with step-by-step explanations of more advanced concepts. The Handbook of Granular Computing represents a significant and valuable contribution to the literature and will appeal to a broad audience including researchers, students and practitioners in the fields of Computational Intelligence, pattern recognition, fuzzy sets and neural networks, system modelling, operations research and bioinformatics.

Aggregation Functions in Theory and in Practise

Author : Humberto Bustince Sola
Publisher : Springer Science & Business Media
ISBN 13 : 3642391656
Total Pages : 552 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Aggregation Functions in Theory and in Practise by : Humberto Bustince Sola

Download or read book Aggregation Functions in Theory and in Practise written by Humberto Bustince Sola and published by Springer Science & Business Media. This book was released on 2013-06-20 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included. Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.

Information Technologies and Mathematical Modelling

Author : Alexander Dudin
Publisher : Springer
ISBN 13 : 3319136712
Total Pages : 452 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Information Technologies and Mathematical Modelling by : Alexander Dudin

Download or read book Information Technologies and Mathematical Modelling written by Alexander Dudin and published by Springer. This book was released on 2014-11-04 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Scientific Conference on Information Technologies and Mathematical Modeling, named after A.F. Terpugov, ITMM 2014, Anzhero-Sudzhensk, Russia, held in Anzhero-Sudzhensk, Russia, in November 2014. The 50 full papers included in this volume were carefully reviewed and selected from 254 submissions. The papers focus on probabilistic methods and models, queueing theory, telecommunication systems, and software engineering.

Fuzzy Logic and Information Fusion

Author : Tomasa Calvo Sánchez
Publisher : Springer
ISBN 13 : 3319304216
Total Pages : 242 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Fuzzy Logic and Information Fusion by : Tomasa Calvo Sánchez

Download or read book Fuzzy Logic and Information Fusion written by Tomasa Calvo Sánchez and published by Springer. This book was released on 2016-05-10 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a timely report on key theories and applications of soft-computing. Written in honour of Professor Gaspar Mayor on his 70th birthday, it primarily focuses on areas related to his research, including fuzzy binary operators, aggregation functions, multi-distances, and fuzzy consensus/decision models. It also discusses a number of interesting applications such as the implementation of fuzzy mathematical morphology based on Mayor-Torrens t-norms. Importantly, the different chapters, authored by leading experts, present novel results and offer new perspectives on different aspects of Mayor’s research. The book also includes an overview of evolutionary fuzzy systems, a topic that is not one of Mayor’s main areas of interest, and a final chapter written by the Spanish pioneer in fuzzy logic, Professor E. Trillas. Computer and decision scientists, knowledge engineers and mathematicians alike will find here an authoritative overview of key soft-computing concepts and techniques.

On Fuzziness

Author : Rudolf Seising
Publisher : Springer
ISBN 13 : 3642356419
Total Pages : 431 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis On Fuzziness by : Rudolf Seising

Download or read book On Fuzziness written by Rudolf Seising and published by Springer. This book was released on 2013-01-12 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far. This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him. Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science. Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain). Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain). Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)

Combining Soft Computing and Statistical Methods in Data Analysis

Author : Christian Borgelt
Publisher : Springer Science & Business Media
ISBN 13 : 3642147461
Total Pages : 644 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Combining Soft Computing and Statistical Methods in Data Analysis by : Christian Borgelt

Download or read book Combining Soft Computing and Statistical Methods in Data Analysis written by Christian Borgelt and published by Springer Science & Business Media. This book was released on 2010-10-12 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last forty years there has been a growing interest to extend probability theory and statistics and to allow for more flexible modelling of imprecision, uncertainty, vagueness and ignorance. The fact that in many real-life situations data uncertainty is not only present in the form of randomness (stochastic uncertainty) but also in the form of imprecision/fuzziness is but one point underlining the need for a widening of statistical tools. Most such extensions originate in a "softening" of classical methods, allowing, in particular, to work with imprecise or vague data, considering imprecise or generalized probabilities and fuzzy events, etc. About ten years ago the idea of establishing a recurrent forum for discussing new trends in the before-mentioned context was born and resulted in the first International Conference on Soft Methods in Probability and Statistics (SMPS) that was held in Warsaw in 2002. In the following years the conference took place in Oviedo (2004), in Bristol (2006) and in Toulouse (2008). In the current edition the conference returns to Oviedo. This edited volume is a collection of papers presented at the SMPS 2010 conference held in Mieres and Oviedo. It gives a comprehensive overview of current research into the fusion of soft methods with probability and statistics.

A First Course in Fuzzy Logic

Author : Hung T. Nguyen
Publisher : CRC Press
ISBN 13 : 0429012608
Total Pages : 192 pages
Book Rating : 4.4/5 (29 download)

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Book Synopsis A First Course in Fuzzy Logic by : Hung T. Nguyen

Download or read book A First Course in Fuzzy Logic written by Hung T. Nguyen and published by CRC Press. This book was released on 2018-12-07 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comprehensive introduction to the theory and applications of fuzzy logic. This popular text offers a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications. New in the Fourth Edition: Features new results on fuzzy sets of type-2 Provides more information on copulas for modeling dependence structures Includes quantum probability for uncertainty modeling in social sciences, especially in economics With its comprehensive updates, this new edition presents all the background necessary for students, instructors and professionals to begin using fuzzy logic in its many—applications in computer science, mathematics, statistics, and engineering. About the Authors: Hung T. Nguyen is a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. He is also an Adjunct Professor of Economics at Chiang Mai University, Thailand. Carol L. Walker is also a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. Elbert A. Walker is a Professor Emeritus, Department of Mathematical Sciences, New Mexico State University.

Artificial Intelligence Logic and Applications

Author : Yixiang Chen
Publisher : Springer Nature
ISBN 13 : 9811975108
Total Pages : 297 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Artificial Intelligence Logic and Applications by : Yixiang Chen

Download or read book Artificial Intelligence Logic and Applications written by Yixiang Chen and published by Springer Nature. This book was released on 2022-12-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes refereed proceedings of the 2nd International Conference on Artificial Intelligence Logic and Applications 2022 held in Shanghai, China from August 26–28, 2022. The 20 full papers presented in this volume were carefully reviewed and selected from a total of 27 submissions. The papers in the volume are organised according to the following topical headings: program logic; fuzzy logic; applications; author index.

Aspects of Soft Computing, Intelligent Robotics and Control

Author : János Fodor
Publisher : Springer Science & Business Media
ISBN 13 : 3642036325
Total Pages : 274 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Aspects of Soft Computing, Intelligent Robotics and Control by : János Fodor

Download or read book Aspects of Soft Computing, Intelligent Robotics and Control written by János Fodor and published by Springer Science & Business Media. This book was released on 2009-08-20 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft computing, as a collection of techniques exploiting approximation and tolerance for imprecision and uncertainty in traditionally intractable problems, has become very effective and popular especially because of the synergy derived from its components. The integration of constituent technologies provides complementary methods that allow developing flexible computing tools and solving complex problems. A wide area of natural applications of soft computing techniques consists of the control of dynamic systems, including robots. Loosely speaking, control can be understood as driving a process to attain a desired goal. Intelligent control can be seen as an extension of this concept, to include autonomous human-like interactions of a machine with the environment. Intelligent robots can be characterized by the ability to operate in an uncertain, changing environment with the help of appropriate sensing. They have the power to autonomously plan and execute motion sequences to achieve a goal specified by a human user without detailed instructions. In this volume leading specialists address various theoretical and practical aspects in soft computing, intelligent robotics and control. The problems discussed are taken from fuzzy systems, neural networks, interactive evolutionary computation, intelligent mobile robotics, and intelligent control of linear and nonlinear dynamic systems.

Indistinguishability Operators

Author : Jordi Recasens
Publisher : Springer Science & Business Media
ISBN 13 : 3642162215
Total Pages : 250 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Indistinguishability Operators by : Jordi Recasens

Download or read book Indistinguishability Operators written by Jordi Recasens and published by Springer Science & Business Media. This book was released on 2010-09-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the monograph starts presenting the different ways in which indistinguishability operators can be generated and represented. Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established. Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.

Enric Trillas: A Passion for Fuzzy Sets

Author : Luis Magdalena
Publisher : Springer
ISBN 13 : 3319162357
Total Pages : 335 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Enric Trillas: A Passion for Fuzzy Sets by : Luis Magdalena

Download or read book Enric Trillas: A Passion for Fuzzy Sets written by Luis Magdalena and published by Springer. This book was released on 2015-03-30 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Preliminary) The book is a comprehensive collection of the most recent and significant research and applications in the field of fuzzy logic. It covers fuzzy structures, systems, rules, operations as well as important applications, e.g in decision making, environmental prediction and prevention, and communication. It is dedicated to Enric Trillas as an acknowledgement for his pioneering research in the field. The book include a foreword by Lotfi A. Zadeh.

Fuzzy Logic and Mathematics

Author : Radim Belohlavek
Publisher : Oxford University Press
ISBN 13 : 019066570X
Total Pages : 544 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis Fuzzy Logic and Mathematics by : Radim Belohlavek

Download or read book Fuzzy Logic and Mathematics written by Radim Belohlavek and published by Oxford University Press. This book was released on 2017-05-03 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.