Granular Fuzzy And Soft Computing

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Granular, Fuzzy, and Soft Computing

Author : Tsau-Young Lin
Publisher : Springer Nature
ISBN 13 : 1071626280
Total Pages : 936 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Granular, Fuzzy, and Soft Computing by : Tsau-Young Lin

Download or read book Granular, Fuzzy, and Soft Computing written by Tsau-Young Lin and published by Springer Nature. This book was released on 2023-03-29 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of the Encyclopedia of Complexity and Systems Science (ECSS, 2009) presented a comprehensive overview of granular computing (GrC) broadly divided into several categories: Granular computing from rough set theory, Granular Computing in Database Theory, Granular Computing in Social Networks, Granular Computing and Fuzzy Set Theory, Grid/Cloud Computing, as well as general issues in granular computing. In 2011, the formal theory of GrC was established, providing an adequate infrastructure to support revolutionary new approaches to computer/data science, including the challenges presented by so-called big data. For this volume of ECSS, Second Edition, many entries have been updated to capture these new developments, together with new chapters on such topics as data clustering, outliers in data mining, qualitative fuzzy sets, and information flow analysis for security applications. Granulations can be seen as a natural and ancient methodology deeply rooted in the human mind. Many daily "things" are routinely granulated into sub "things": The topography of earth is granulated into hills, plateaus, etc., space and time are granulated into infinitesimal granules, and a circle is granulated into polygons of infinitesimal sides. Such granules led to the invention of calculus, topology and non-standard analysis. Formalization of general granulation was difficult but, as shown in this volume, great progress has been made in combing discrete and continuous mathematics under one roof for a broad range of applications in data science.

Granular Computing

Author : Witold Pedrycz
Publisher : CRC Press
ISBN 13 : 135183262X
Total Pages : 313 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Granular Computing by : Witold Pedrycz

Download or read book Granular Computing written by Witold Pedrycz and published by CRC Press. This book was released on 2018-09-03 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information granules, as encountered in natural language, are implicit in nature. To make them fully operational so they can be effectively used to analyze and design intelligent systems, information granules need to be made explicit. An emerging discipline, granular computing focuses on formalizing information granules and unifying them to create a coherent methodological and developmental environment for intelligent system design and analysis. Granular Computing: Analysis and Design of Intelligent Systems presents the unified principles of granular computing along with its comprehensive algorithmic framework and design practices. Introduces the concepts of information granules, information granularity, and granular computing Presents the key formalisms of information granules Builds on the concepts of information granules with discussion of higher-order and higher-type information granules Discusses the operational concept of information granulation and degranulation by highlighting the essence of this tandem and its quantification in terms of the associated reconstruction error Examines the principle of justifiable granularity Stresses the need to look at information granularity as an important design asset that helps construct more realistic models of real-world systems or facilitate collaborative pursuits of system modeling Highlights the concepts, architectures, and design algorithms of granular models Explores application domains where granular computing and granular models play a visible role, including pattern recognition, time series, and decision making Written by an internationally renowned authority in the field, this innovative book introduces readers to granular computing as a new paradigm for the analysis and synthesis of intelligent systems. It is a valuable resource for those engaged in research and practical developments in computer, electrical, industrial, manufacturing, and biomedical engineering. Building from fundamentals, the book is also suitable for readers from nontechnical disciplines where information granules assume a visible position.

Granular Computing: At the Junction of Rough Sets and Fuzzy Sets

Author : Rafael Bello
Publisher : Springer Science & Business Media
ISBN 13 : 3540769722
Total Pages : 339 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Granular Computing: At the Junction of Rough Sets and Fuzzy Sets by : Rafael Bello

Download or read book Granular Computing: At the Junction of Rough Sets and Fuzzy Sets written by Rafael Bello and published by Springer Science & Business Media. This book was released on 2008-02-20 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their very inception, both fuzzy and rough set theories have earned a sound, well-deserved reputation owing to their intrinsic capabilities to model uncertainty coming from the real world. The increasing amount of investigations on both subjects reported every year in the literature vouches for the dynamics of the area and its rapid advancements. In the last few years the widespread utilization of fuzzy and rough sets as granulation sources has contributed to lay both methodologies in a privileged position within Granular Computing, thus giving rise to a sort a modeling which is far closer to the way human beings perceive their environment – via granulated knowledge. This volume is a compilation of the best papers presented at the First International Symposium on Fuzzy and Rough Sets (ISFUROS 2006) held in Santa Clara, Cuba. You will therefore find valuable contributions both in the theoretical field as in several application domains such as intelligent control, data analysis, decision making and machine learning, just to name a few. Together, they will catch you up with the huge potential of the aforementioned methodologies.

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.

Hierarchical Modular Granular Neural Networks with Fuzzy Aggregation

Author : Daniela Sanchez
Publisher : Springer
ISBN 13 : 3319288628
Total Pages : 101 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Hierarchical Modular Granular Neural Networks with Fuzzy Aggregation by : Daniela Sanchez

Download or read book Hierarchical Modular Granular Neural Networks with Fuzzy Aggregation written by Daniela Sanchez and published by Springer. This book was released on 2016-02-23 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, a new method for hybrid intelligent systems is proposed. The proposed method is based on a granular computing approach applied in two levels. The techniques used and combined in the proposed method are modular neural networks (MNNs) with a Granular Computing (GrC) approach, thus resulting in a new concept of MNNs; modular granular neural networks (MGNNs). In addition fuzzy logic (FL) and hierarchical genetic algorithms (HGAs) are techniques used in this research work to improve results. These techniques are chosen because in other works have demonstrated to be a good option, and in the case of MNNs and HGAs, these techniques allow to improve the results obtained than with their conventional versions; respectively artificial neural networks and genetic algorithms.

Granular, Soft and Fuzzy Approaches for Intelligent Systems

Author : Janusz Kacprzyk
Publisher : Springer
ISBN 13 : 3319403141
Total Pages : 248 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Granular, Soft and Fuzzy Approaches for Intelligent Systems by : Janusz Kacprzyk

Download or read book Granular, Soft and Fuzzy Approaches for Intelligent Systems written by Janusz Kacprzyk and published by Springer. This book was released on 2016-11-14 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive report on the state-of-the art in the broadly-intended field of “intelligent systems”. After introducing key theoretical issues, it describes a number of promising models for data and system analysis, decision making, and control. It discusses important theories, including possibility theory, the Dempster-Shafer theory, the theory of approximate reasoning, as well as computing with words, together with novel applications in various areas, such as information aggregation and fusion, linguistic data summarization, participatory learning, systems modeling, and many others. By presenting the methods in their application contexts, the book shows how granular computing, soft computing and fuzzy logic techniques can provide novel, efficient solutions to real-world problems. It is dedicated to Professor Ronald R. Yager for his great scientific and scholarly achievements, and for his long-lasting service to the fuzzy logic, and the artificial and computational intelligence communities. It has been motivated by the authors’ appreciation of his original thinking and groundbreaking ideas, with a special thought to his valuable research on the computerized implementation of various aspects of human cognition for decision-making and problem-solving.

Data Mining, Rough Sets and Granular Computing

Author : Tsau Young Lin
Publisher : Physica
ISBN 13 : 3790817910
Total Pages : 538 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Data Mining, Rough Sets and Granular Computing by : Tsau Young Lin

Download or read book Data Mining, Rough Sets and Granular Computing written by Tsau Young Lin and published by Physica. This book was released on 2013-11-11 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past few years, data mining has grown rapidly in visibility and importance within information processing and decision analysis. This is par ticularly true in the realm of e-commerce, where data mining is moving from a "nice-to-have" to a "must-have" status. In a different though related context, a new computing methodology called granular computing is emerging as a powerful tool for the conception, analysis and design of information/intelligent systems. In essence, data mining deals with summarization of information which is resident in large data sets, while granular computing plays a key role in the summarization process by draw ing together points (objects) which are related through similarity, proximity or functionality. In this perspective, granular computing has a position of centrality in data mining. Another methodology which has high relevance to data mining and plays a central role in this volume is that of rough set theory. Basically, rough set theory may be viewed as a branch of granular computing. However, its applications to data mining have predated that of granular computing.

Granular Computing

Author : Witold Pedrycz
Publisher : Physica
ISBN 13 : 3790818232
Total Pages : 398 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Granular Computing by : Witold Pedrycz

Download or read book Granular Computing written by Witold Pedrycz and published by Physica. This book was released on 2013-06-05 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Granular Computing is concerned with constructing and processing carried out at the level of information granules. Using information granules, we comprehend the world and interact with it, no matter which intelligent endeavor this may involve. The landscape of granular computing is immensely rich and involves set theory (interval mathematics), fuzzy sets, rough sets, random sets linked together in a highly synergetic environment. This volume is a first comprehensive treatment of this emerging paradigm and embraces its fundamentals, underlying methodological framework, and a sound algorithmic environment. The panoply of applications covered includes system identification, telecommunications, linguistics and music processing. Written by experts in the field, this volume will appeal to all developing intelligent systems, either working at the methodological level or interested in detailed system realization.

New Directions in Rough Sets, Data Mining, and Granular-Soft Computing

Author : Ning Zhong
Publisher : Springer
ISBN 13 : 3540480617
Total Pages : 566 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis New Directions in Rough Sets, Data Mining, and Granular-Soft Computing by : Ning Zhong

Download or read book New Directions in Rough Sets, Data Mining, and Granular-Soft Computing written by Ning Zhong and published by Springer. This book was released on 2004-06-22 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, RSFDGrC'99, held in Yamaguchi, Japan, in November 1999. The 45 revised regular papers and 15 revised short papers presented together with four invited contributions were carefully reviewed and selected from 89 submissions. The book is divided into sections on rough computing: foundations and applications, rough set theory and applications, fuzzy set theory and applications, nonclassical logic and approximate reasoning, information granulation and granular computing, data mining and knowledge discovery, machine learning, and intelligent agents and systems.

Information Granularity, Big Data, and Computational Intelligence

Author : Witold Pedrycz
Publisher : Springer
ISBN 13 : 331908254X
Total Pages : 444 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Information Granularity, Big Data, and Computational Intelligence by : Witold Pedrycz

Download or read book Information Granularity, Big Data, and Computational Intelligence written by Witold Pedrycz and published by Springer. This book was released on 2014-07-14 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent pursuits emerging in the realm of big data processing, interpretation, collection and organization have emerged in numerous sectors including business, industry and government organizations. Data sets such as customer transactions for a mega-retailer, weather monitoring, intelligence gathering, quickly outpace the capacities of traditional techniques and tools of data analysis. The 3V (volume, variability and velocity) challenges led to the emergence of new techniques and tools in data visualization, acquisition, and serialization. Soft Computing being regarded as a plethora of technologies of fuzzy sets (or Granular Computing), neurocomputing and evolutionary optimization brings forward a number of unique features that might be instrumental to the development of concepts and algorithms to deal with big data. This carefully edited volume provides the reader with an updated, in-depth material on the emerging principles, conceptual underpinnings, algorithms and practice of Computational Intelligence in the realization of concepts and implementation of big data architectures, analysis, and interpretation as well as data analytics. The book is aimed at a broad audience of researchers and practitioners including those active in various disciplines in which big data, their analysis and optimization are of genuine relevance. One focal point is the systematic exposure of the concepts, design methodology, and detailed algorithms. In general, the volume adheres to the top-down strategy starting with the concepts and motivation and then proceeding with the detailed design that materializes in specific algorithms and representative applications. The material is self-contained and provides the reader with all necessary prerequisites and augments some parts with a step-by-step explanation of more advanced concepts supported by a significant amount of illustrative numeric material and some application scenarios to motivate the reader and make some abstract concepts more tangible.

Rough Set Theory and Granular Computing

Author : Masahiro Inuiguchi
Publisher : Springer
ISBN 13 : 3540364730
Total Pages : 303 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Rough Set Theory and Granular Computing by : Masahiro Inuiguchi

Download or read book Rough Set Theory and Granular Computing written by Masahiro Inuiguchi and published by Springer. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: After 20 years of pursuing rough set theory and its applications a look on its present state and further prospects is badly needed. The monograph Rough Set Theory and Granular Computing edited by Masahiro Inuiguchi, Shoji Hirano and Shusaku Tsumoto meets this demand. It presents the newest developments in this area and gives fair picture of the state of the art in this domain. Firstly, in the keynote papers by Zdzislaw Pawlak, Andrzej Skowron and Sankar K. Pal the relationship of rough sets with other important methods of data analysis -Bayes theorem, neuro computing and pattern recognitio- is thoroughly examined. Next, several interesting generalizations of the the ory and new directions of research are presented. Furthermore application of rough sets in data mining, in particular, rule induction methods based on rough set theory is presented and discussed. Further important issue dis cussed in the monograph is rough set based data analysis, including study of decisions making in conflict situations. Last but not least, some recent engi neering applications of rough set theory are given. They include a proposal of rough set processor architecture organization for fast implementation of ba sic rough set operations and discussion of results concerning advanced image processing for unmanned aerial vehicle. Thus the monograph beside presenting wide spectrum of ongoing research in this area also points out new emerging areas of study and applications, which makes it a valuable source of information to all interested in this do main.

Rough Sets, Fuzzy Sets, Data Mining and Granular Computing

Author : Aijun An
Publisher : Springer
ISBN 13 : 354072530X
Total Pages : 588 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Rough Sets, Fuzzy Sets, Data Mining and Granular Computing by : Aijun An

Download or read book Rough Sets, Fuzzy Sets, Data Mining and Granular Computing written by Aijun An and published by Springer. This book was released on 2007-08-22 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2007, held in Toronto, Canada in May 2007 in conjunction with the Second International Conference on Rough Sets and Knowledge Technology, RSKT 2007, both as part of the Joint Rough Set Symposium, JRS 2007.

Granular Computing

Author : Andrzej Bargiela
Publisher : Springer Science & Business Media
ISBN 13 : 1461510333
Total Pages : 464 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Granular Computing by : Andrzej Bargiela

Download or read book Granular Computing written by Andrzej Bargiela and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Granular Computing (GC) - an emerging conceptual and of information processing. As the name suggests, GC concerns computing paradigm processing of complex information entities - information granules. In essence, information granules arise in the process of abstraction of data and derivation of knowledge from information. Information granules are everywhere. We commonly use granules of time (seconds, months, years). We granulate images; millions of pixels manipulated individually by computers appear to us as granules representing physical objects. In natural language, we operate on the basis of word-granules that become crucial entities used to realize interaction and communication between humans. Intuitively, we sense that information granules are at the heart of all our perceptual activities. In the past, several formal frameworks and tools, geared for processing specific information granules, have been proposed. Interval analysis, rough sets, fuzzy sets have all played important role in knowledge representation and processing. Subsequently, information granulation and information granules arose in numerous application domains. Well-known ideas of rule-based systems dwell inherently on information granules. Qualitative modeling, being one of the leading threads of AI, operates on a level of information granules. Multi-tier architectures and hierarchical systems (such as those encountered in control engineering), planning and scheduling systems all exploit information granularity. We also utilize information granules when it comes to functionality granulation, reusability of information and efficient ways of developing underlying information infrastructures.

Rough – Granular Computing in Knowledge Discovery and Data Mining

Author : J. Stepaniuk
Publisher : Springer
ISBN 13 : 3540708014
Total Pages : 162 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Rough – Granular Computing in Knowledge Discovery and Data Mining by : J. Stepaniuk

Download or read book Rough – Granular Computing in Knowledge Discovery and Data Mining written by J. Stepaniuk and published by Springer. This book was released on 2009-01-29 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers methods based on a combination of granular computing, rough sets, and knowledge discovery in data mining (KDD). The discussion of KDD foundations based on the rough set approach and granular computing feature illustrative applications.

Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing

Author : Guoyin Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3540140409
Total Pages : 758 pages
Book Rating : 4.5/5 (41 download)

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Book Synopsis Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing by : Guoyin Wang

Download or read book Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing written by Guoyin Wang and published by Springer Science & Business Media. This book was released on 2003-05-08 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2003, held in Chongqing, China in May 2003. The 39 revised full papers and 75 revised short papers presented together with 2 invited keynote papers and 11 invited plenary papers were carefully reviewed and selected from a total of 245 submissions. The papers are organized in topical sections on rough sets foundations and methods; fuzzy sets and systems; granular computing; neural networks and evolutionary computing; data mining, machine learning, and pattern recognition; logics and reasoning; multi-agent systems; and Web intelligence and intelligent systems.

Soft Computing Approach to Pattern Recognition and Image Processing

Author : Ashish Ghosh
Publisher : World Scientific
ISBN 13 : 9789812776235
Total Pages : 374 pages
Book Rating : 4.7/5 (762 download)

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Book Synopsis Soft Computing Approach to Pattern Recognition and Image Processing by : Ashish Ghosh

Download or read book Soft Computing Approach to Pattern Recognition and Image Processing written by Ashish Ghosh and published by World Scientific. This book was released on 2002 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a collection of sixteen articles containing review and new material. In a unified way, they describe the recent development of theories and methodologies in pattern recognition, image processing and vision using fuzzy logic, artificial neural networks, genetic algorithms, rough sets and wavelets with significant real life applications. The book details the theory of granular computing and the role of a rough-neuro approach as a way of computing with words and designing intelligent recognition systems. It also demonstrates applications of the soft computing paradigm to case based reasoning, data mining and bio-informatics with a scope for future research. The contributors from around the world present a balanced mixture of current theory, algorithms and applications, making the book an extremely useful resource for students and researchers alike. Contents: Pattern Recognition: Multiple Classifier Systems; Building Decision Trees from the Fourier Spectrum of a Tree Ensemble; Clustering Large Data Sets; Multi-objective Variable String Genetic Classifier: Application to Remote Sensing Imagery; Image Processing and Vision: Dissimilarity Measures Between Fuzzy Sets or Fuzzy Structures; Early Vision: Concepts and Algorithms; Self-organizing Neural Network for Multi-level Image Segmentation; Geometric Transformation by Moment Method with Wavelet Matrix; New Computationally Efficient Algorithms for Video Coding; Soft Computing for Computational Media Aesthetics: Analyzing Video Content for Meaning; Granular Computing and Case Based Reasoning: Towards Granular Multi-agent Systems; Granular Computing and Pattern Recognition; Case Base Maintenance: A Soft Computing Perspective; Real Life Applications: Autoassociative Neural Network Models for Pattern Recognition Tasks in Speech and Image; Protein Structure Prediction Using Soft Computing; Pattern Classification for Biological Data Mining. Readership: Upper level undergraduates, graduates, researchers, academics and industrialists.

Rough Sets, Fuzzy Sets, Data Mining and Granular Computing

Author : Sergei O. Kuznetsov
Publisher : Springer Science & Business Media
ISBN 13 : 3642218806
Total Pages : 382 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Rough Sets, Fuzzy Sets, Data Mining and Granular Computing by : Sergei O. Kuznetsov

Download or read book Rough Sets, Fuzzy Sets, Data Mining and Granular Computing written by Sergei O. Kuznetsov and published by Springer Science & Business Media. This book was released on 2011-06-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2011, held in Moscow, Russia in June 2011. The 49 revised full papers presented together with 5 invited and 2 tutorial papers were carefully reviewed and selected from a total of 83 submissions. The papers are organized in topical sections on rough sets and approximations, coverings and granules, fuzzy set models, fuzzy set applications, compound values, feature seletion and reduction, clusters and concepts, rules and trees, image processing, and interactions and visualization.