The Puzzle Of Granular Computing

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The Puzzle of Granular Computing

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Author : Bruno Apolloni
Publisher : Springer
ISBN 13 : 3540798641
Total Pages : 503 pages
Book Rating : 4.5/5 (47 download)

Book Synopsis The Puzzle of Granular Computing by : Bruno Apolloni

Download or read book The Puzzle of Granular Computing written by Bruno Apolloni and published by Springer. This book was released on 2008-10-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rem tene, verba sequentur (Gaius J. Victor, Rome VI century b.c.) The ultimate goal of this book is to bring the fundamental issues of information granularity, inference tools and problem solving procedures into a coherent, unified, and fully operational framework. The objective is to offer the reader a comprehensive, self-contained, and uniform exposure to the subject.The strategy is to isolate some fundamental bricks of Computational Intelligence in terms of key problems and methods, and discuss their implementation and underlying rationale within a well structured and rigorous conceptual framework as well as carefully related to various application facets. The main assumption is that a deep understanding of the key problems will allow the reader to compose into a meaningful mosaic the puzzle pieces represented by the immense varieties of approaches present in the literature and in the computational practice. All in all, the main approach advocated in the monograph consists of a sequence of steps offering solid conceptual fundamentals, presenting a carefully selected collection of design methodologies, discussing a wealth of development guidelines, and exemplifying them with a pertinent, accurately selected illustrative material.

The Puzzle of Granular Computing

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Author : Bruno Apolloni
Publisher : Springer Science & Business Media
ISBN 13 : 3540798633
Total Pages : 503 pages
Book Rating : 4.5/5 (47 download)

Book Synopsis The Puzzle of Granular Computing by : Bruno Apolloni

Download or read book The Puzzle of Granular Computing written by Bruno Apolloni and published by Springer Science & Business Media. This book was released on 2008-08-20 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rem tene, verba sequentur (Gaius J. Victor, Rome VI century b.c.) The ultimate goal of this book is to bring the fundamental issues of information granularity, inference tools and problem solving procedures into a coherent, unified, and fully operational framework. The objective is to offer the reader a comprehensive, self-contained, and uniform exposure to the subject.The strategy is to isolate some fundamental bricks of Computational Intelligence in terms of key problems and methods, and discuss their implementation and underlying rationale within a well structured and rigorous conceptual framework as well as carefully related to various application facets. The main assumption is that a deep understanding of the key problems will allow the reader to compose into a meaningful mosaic the puzzle pieces represented by the immense varieties of approaches present in the literature and in the computational practice. All in all, the main approach advocated in the monograph consists of a sequence of steps offering solid conceptual fundamentals, presenting a carefully selected collection of design methodologies, discussing a wealth of development guidelines, and exemplifying them with a pertinent, accurately selected illustrative material.

Granular Computing

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

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.

Granular Computing

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Author : Witold Pedrycz
Publisher : CRC Press
ISBN 13 : 1439886873
Total Pages : 309 pages
Book Rating : 4.4/5 (398 download)

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 309 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

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Author : Witold Pedrycz
Publisher : Physica
ISBN 13 : 3790818232
Total Pages : 403 pages
Book Rating : 4.7/5 (98 download)

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 403 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.

Granular Computing and Intelligent Systems

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Author : Witold Pedrycz
Publisher : Springer Science & Business Media
ISBN 13 : 3642198201
Total Pages : 308 pages
Book Rating : 4.6/5 (421 download)

Book Synopsis Granular Computing and Intelligent Systems by : Witold Pedrycz

Download or read book Granular Computing and Intelligent Systems written by Witold Pedrycz and published by Springer Science & Business Media. This book was released on 2011-04-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information granules are fundamental conceptual entities facilitating perception of complex phenomena and contributing to the enhancement of human centricity in intelligent systems. The formal frameworks of information granules and information granulation comprise fuzzy sets, interval analysis, probability, rough sets, and shadowed sets, to name only a few representatives. Among current developments of Granular Computing, interesting options concern information granules of higher order and of higher type. The higher order information granularity is concerned with an effective formation of information granules over the space being originally constructed by information granules of lower order. This construct is directly associated with the concept of hierarchy of systems composed of successive processing layers characterized by the increasing levels of abstraction. This idea of layered, hierarchical realization of models of complex systems has gained a significant level of visibility in fuzzy modeling with the well-established concept of hierarchical fuzzy models where one strives to achieve a sound tradeoff between accuracy and a level of detail captured by the model and its level of interpretability. Higher type information granules emerge when the information granules themselves cannot be fully characterized in a purely numerical fashion but instead it becomes convenient to exploit their realization in the form of other types of information granules such as type-2 fuzzy sets, interval-valued fuzzy sets, or probabilistic fuzzy sets. Higher order and higher type of information granules constitute the focus of the studies on Granular Computing presented in this study. The book elaborates on sound methodologies of Granular Computing, algorithmic pursuits and an array of diverse applications and case studies in environmental studies, option price forecasting, and power engineering.

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

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

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.

Rough – Granular Computing in Knowledge Discovery and Data Mining

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

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.

Special Issue on Granular Computing

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Author : Andrzej Bargiela
Publisher :
ISBN 13 :
Total Pages : 169 pages
Book Rating : 4.:/5 (254 download)

Book Synopsis Special Issue on Granular Computing by : Andrzej Bargiela

Download or read book Special Issue on Granular Computing written by Andrzej Bargiela and published by . This book was released on 2002 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Granular Computing

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

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.

Granular Computing

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Author : Witold Pedrycz
Publisher :
ISBN 13 :
Total Pages : 309 pages
Book Rating : 4.:/5 (119 download)

Book Synopsis Granular Computing by : Witold Pedrycz

Download or read book Granular Computing written by Witold Pedrycz and published by . This book was released on 2018 with total page 309 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.

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

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Author : Yiyu Yao
Publisher : Springer
ISBN 13 : 3319257838
Total Pages : 505 pages
Book Rating : 4.3/5 (192 download)

Book Synopsis Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing by : Yiyu Yao

Download or read book Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing written by Yiyu Yao and published by Springer. This book was released on 2015-11-21 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 15th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, RSFDGrC 2015, held in Tianjin, China in November 2015 as one of the co-located conference of the 2015 Joint Rough Set Symposium, JRS 2015. The 44 papers were carefully reviewed and selected from 97 submissions. The papers in this volume cover topics such as rough sets: the experts speak; generalized rough sets; rough sets and graphs; rough and fuzzy hybridization; granular computing; data mining and machine learning; three-way decisions; IJCRS 2015 data challenge.

Granular Computing Based Machine Learning

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Author : Han Liu
Publisher : Springer
ISBN 13 : 3319700588
Total Pages : 113 pages
Book Rating : 4.3/5 (197 download)

Book Synopsis Granular Computing Based Machine Learning by : Han Liu

Download or read book Granular Computing Based Machine Learning written by Han Liu and published by Springer. This book was released on 2017-11-04 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the significant role of granular computing in advancing machine learning towards in-depth processing of big data. It begins by introducing the main characteristics of big data, i.e., the five Vs—Volume, Velocity, Variety, Veracity and Variability. The book explores granular computing as a response to the fact that learning tasks have become increasingly more complex due to the vast and rapid increase in the size of data, and that traditional machine learning has proven too shallow to adequately deal with big data. Some popular types of traditional machine learning are presented in terms of their key features and limitations in the context of big data. Further, the book discusses why granular-computing-based machine learning is called for, and demonstrates how granular computing concepts can be used in different ways to advance machine learning for big data processing. Several case studies involving big data are presented by using biomedical data and sentiment data, in order to show the advances in big data processing through the shift from traditional machine learning to granular-computing-based machine learning. Finally, the book stresses the theoretical significance, practical importance, methodological impact and philosophical aspects of granular-computing-based machine learning, and suggests several further directions for advancing machine learning to fit the needs of modern industries. This book is aimed at PhD students, postdoctoral researchers and academics who are actively involved in fundamental research on machine learning or applied research on data mining and knowledge discovery, sentiment analysis, pattern recognition, image processing, computer vision and big data analytics. It will also benefit a broader audience of researchers and practitioners who are actively engaged in the research and development of intelligent systems.

Granular, Fuzzy, and Soft Computing

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

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.

Data Mining, Rough Sets and Granular Computing

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

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.

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

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Author : Guoyin Wang
Publisher : Springer
ISBN 13 : 354039205X
Total Pages : 758 pages
Book Rating : 4.5/5 (43 download)

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. This book was released on 2003-08-03 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers selected for presentation at the 9th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2003) held at Chongqing University of Posts and Telecommunications, Chongqing, P.R. China, May 26–29, 2003. There were 245 submissions for RSFDGrC 2003 excluding for 2 invited keynote papers and 11 invited plenary papers. Apart from the 13 invited papers, 114 papers were accepted for RSFDGrC 2003 and were included in this volume. The acceptance rate was only 46.5%. These papers were divided into 39 regular oral presentation papers (each allotted 8 pages), 47 short oral presentation papers (each allotted 4 pages) and 28 poster presentation papers (each allotted 4 pages) on the basis of reviewer evaluations. Each paper was reviewed by three referees. The conference is a continuation and expansion of the International Workshops on Rough Set Theory and Applications. In particular, this was the ninth meeting in the series and the first international conference. The aim of RSFDGrC2003 was to bring together researchers from diverse fields of expertise in order to facilitate mutual understanding and cooperation and to help in cooperative work aimed at new hybrid paradigms. It is our great pleasure to dedicate this volume to Prof. Zdzislaw Pawlak, who first introduced the basic ideas and definitions of rough sets theory over 20 years ago.

Granular Computing and Intelligent Systems

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Author : Witold Pedrycz
Publisher :
ISBN 13 : 9783642198212
Total Pages : 316 pages
Book Rating : 4.1/5 (982 download)

Book Synopsis Granular Computing and Intelligent Systems by : Witold Pedrycz

Download or read book Granular Computing and Intelligent Systems written by Witold Pedrycz and published by . This book was released on 2011-06-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: