Granular Computing in Decision Approximation

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Publisher : Springer
ISBN 13 : 3319128809
Total Pages : 461 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Granular Computing in Decision Approximation by : Lech Polkowski

Download or read book Granular Computing in Decision Approximation written by Lech Polkowski and published by Springer. This book was released on 2015-04-06 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study in knowledge discovery in data with knowledge understood as a set of relations among objects and their properties. Relations in this case are implicative decision rules and the paradigm in which they are induced is that of computing with granules defined by rough inclusions, the latter introduced and studied within rough mereology, the fuzzified version of mereology. In this book basic classes of rough inclusions are defined and based on them methods for inducing granular structures from data are highlighted. The resulting granular structures are subjected to classifying algorithms, notably k—nearest neighbors and bayesian classifiers. Experimental results are given in detail both in tabular and visualized form for fourteen data sets from UCI data repository. A striking feature of granular classifiers obtained by this approach is that preserving the accuracy of them on original data, they reduce substantially the size of the granulated data set as well as the set of granular decision rules. This feature makes the presented approach attractive in cases where a small number of rules providing a high classification accuracy is desirable. As basic algorithms used throughout the text are explained and illustrated with hand examples, the book may also serve as a textbook.

Handbook of Granular Computing

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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.

Novel Developments in Granular Computing: Applications for Advanced Human Reasoning and Soft Computation

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Publisher : IGI Global
ISBN 13 : 1605663255
Total Pages : 570 pages
Book Rating : 4.6/5 (56 download)

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Book Synopsis Novel Developments in Granular Computing: Applications for Advanced Human Reasoning and Soft Computation by : Yao, JingTao

Download or read book Novel Developments in Granular Computing: Applications for Advanced Human Reasoning and Soft Computation written by Yao, JingTao and published by IGI Global. This book was released on 2010-06-30 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book investigages granular computing (GrC), which emerged as one of the fastest growing information processing paradigms in computational intelligence and human-centric systems"--Provided by publisher.

Rough Set Theory and Granular Computing

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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.

Granular Computing and Big Data Advancements

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Publisher : IGI Global
ISBN 13 :
Total Pages : 331 pages
Book Rating : 4.3/5 (693 download)

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Book Synopsis Granular Computing and Big Data Advancements by : Zhang, Chao

Download or read book Granular Computing and Big Data Advancements written by Zhang, Chao and published by IGI Global. This book was released on 2024-08-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an era defined by the deluge of data, navigating the complexities of decision-making under conditions of uncertainty has emerged as a formidable challenge for scholars and practitioners alike. The sheer volume and velocity of information inundating decision-makers often leads to paralysis or misguided choices, amplifying the risks inherent in uncertain environments. Granular Computing and Big Data Advancements provides insights and solutions in this challenging landscape. The impact of Granular Computing and Big Data Advancements reverberates across the research community, offering a cohesive resource that bridges the gap between theory and practice. With its interdisciplinary approach and emphasis on innovation, the book fosters collaboration and empowers scholars to tackle complex challenges head-on. Whether researchers seek novel methodologies, practitioners aim to enhance decision-making processes, or students embark on their academic journey, this publication serves as a cornerstone in the quest for effective decision-making amidst the uncertainties of the modern world.

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

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

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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.

Rough – Granular Computing in Knowledge Discovery and Data Mining

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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

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Publisher : Springer Science & Business Media
ISBN 13 : 3540286535
Total Pages : 764 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing by : Dominik Ślęzak

Download or read book Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing written by Dominik Ślęzak and published by Springer Science & Business Media. This book was released on 2005-08-22 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volume set LNAI 3641 and LNAI 3642 constitutes the refereed proceedings of the 10th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2005, held in Regina, Canada in August/September 2005. The 119 revised full papers presented were carefully reviewed and selected from a total of 277 submissions. They comprise the two volumes together with 6 invited papers, 22 approved workshop papers, and 5 special section papers that all were carefully selected and thoroughly revised. The first volume includes 75 contributions related to rough set approximations, rough-algebraic foundations, feature selection and reduction, reasoning in information systems, rough-probabilistic approaches, rough-fuzzy hybridization, fuzzy methods in data analysis, evolutionary computing, machine learning, approximate and uncertain reasoning, probabilistic network models, spatial and temporal reasoning, non-standard logics, and granular computing. The second volume contains 77 contributions and deals with rough set software, data mining, hybrid and hierarchical methods, information retrieval, image recognition and processing, multimedia applications, medical applications, web content analysis, business and industrial applications, the approved workshop papers and the papers accepted for a special session on intelligent and sapient systems.

Approximate Reasoning by Parts

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Publisher : Springer Science & Business Media
ISBN 13 : 364222279X
Total Pages : 356 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Approximate Reasoning by Parts by : Lech Polkowski

Download or read book Approximate Reasoning by Parts written by Lech Polkowski and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph offers a view on Rough Mereology, a tool for reasoning under uncertainty, which goes back to Mereology, formulated in terms of parts by Lesniewski, and borrows from Fuzzy Set Theory and Rough Set Theory ideas of the containment to a degree. The result is a theory based on the notion of a part to a degree. One can invoke here a formula Rough: Rough Mereology : Mereology = Fuzzy Set Theory : Set Theory. As with Mereology, Rough Mereology finds important applications in problems of Spatial Reasoning, illustrated in this monograph with examples from Behavioral Robotics. Due to its involvement with concepts, Rough Mereology offers new approaches to Granular Computing, Classifier and Decision Synthesis, Logics for Information Systems, and are--formulation of well--known ideas of Neural Networks and Many Agent Systems. All these approaches are discussed in this monograph. To make the exposition self--contained, underlying notions of Set Theory, Topology, and Deductive and Reductive Reasoning with emphasis on Rough and Fuzzy Set Theories along with a thorough exposition of Mereology both in Lesniewski and Whitehead--Leonard--Goodman--Clarke versions are discussed at length. It is hoped that the monograph offers researchers in various areas of Artificial Intelligence a new tool to deal with analysis of relations among concepts.

Rough Set Theory and Granular Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540005742
Total Pages : 330 pages
Book Rating : 4.0/5 (57 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 Science & Business Media. This book was released on 2003-04-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents novel approaches and new results in fundamentals and applications related to rough sets and granular computing. It includes the application of rough sets to real world problems, such as data mining, decision support and sensor fusion. The relationship of rough sets to other important methods of data analysis – Bayes theorem, neurocomputing and pattern recognition is thoroughly examined. Another issue is the rough set based data analysis, including the study of decision making in conflict situations. Recent engineering applications of rough set theory are given, including a processor architecture organization for fast implementation of basic rough set operations and results concerning advanced image processing for unmanned aerial vehicles. New emerging areas of study and applications are presented as well as a wide spectrum of on-going research, which makes the book valuable to all interested in the field of rough set theory and granular computing.

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

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Publisher : Springer
ISBN 13 : 354039205X
Total Pages : 758 pages
Book Rating : 4.5/5 (43 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. 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.

Rough Sets

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Publisher : Springer Nature
ISBN 13 : 3031656687
Total Pages : 338 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Rough Sets by : Mengjun Hu

Download or read book Rough Sets written by Mengjun Hu and published by Springer Nature. This book was released on with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rough Sets and Current Trends in Computing

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Publisher : Springer
ISBN 13 : 3540458131
Total Pages : 654 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Rough Sets and Current Trends in Computing by : James J. Alpigini

Download or read book Rough Sets and Current Trends in Computing written by James J. Alpigini and published by Springer. This book was released on 2003-08-03 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers selected for presentation at the Third Inter- tional Conference on Rough Sets and Current Trends in Computing (RSCTC 2002) held at Penn State Great Valley, Malvern, Pennsylvania, U.S.A., 14–16 October 2002. Rough set theoryand its applications constitute a branch of soft computing that has exhibited a signi?cant growth rate during recent years. RSCTC 2002 provided a forum for exchanging ideas among manyresearchers in the rough set communityand in various areas of soft computing and served as a stimulus for mutual understanding and cooperation. In recent years, there have been a number of advances in rough set theoryand applications. Hence, we have witnessed a growing number of international workshops on rough sets and their applications. In addition, it should be observed that one of the beauties of rough sets and the rough set philosophyis that it tends to complement and reinforce research in manytraditional research areas and applications. This is the main reason that manyinternational conferences are now including rough sets into the list of topics.

Thriving Rough Sets

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Publisher : Springer
ISBN 13 : 3319549669
Total Pages : 433 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Thriving Rough Sets by : Guoyin Wang

Download or read book Thriving Rough Sets written by Guoyin Wang and published by Springer. This book was released on 2017-04-28 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special book is dedicated to the memory of Professor Zdzisław Pawlak, the father of rough set theory, in order to commemorate both the 10th anniversary of his passing and 35 years of rough set theory. The book consists of 20 chapters distributed into four sections, which focus in turn on a historical review of Professor Zdzisław Pawlak and rough set theory; a review of the theory of rough sets; the state of the art of rough set theory; and major developments in rough set based data mining approaches. Apart from Professor Pawlak’s contributions to rough set theory, other areas he was interested in are also included. Moreover, recent theoretical studies and advances in applications are also presented. The book will offer a useful guide for researchers in Knowledge Engineering and Data Mining by suggesting new approaches to solving the problems they encounter.

Granular Computing and Intelligent Systems

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

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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, Fuzzy, and Soft Computing

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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: At the Junction of Rough Sets and Fuzzy Sets

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Author :
Publisher : Springer
ISBN 13 : 3540769730
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. This book was released on 2007-12-23 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. They contain valuable contributions both in the theoretical field and in several application domains such as intelligent control, data analysis, decision making and machine learning, just to name a few. Together, they capture the huge potential of the aforementioned methodologies.