Granular Computing In Decision Approximation

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Granular Computing in Decision Approximation

Lech Polkowski,Piotr Artiemjew
Granular Computing in Decision Approximation Book PDF

Author : Lech Polkowski,Piotr Artiemjew
Publisher : Springer
Page : 452 pages
File Size : 52,6 Mb
Release : 2015-04-06
Category : Technology & Engineering
ISBN : 9783319128801

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Granular Computing in Decision Approximation by Lech Polkowski,Piotr Artiemjew Pdf

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.

Rough – Granular Computing in Knowledge Discovery and Data Mining

J. Stepaniuk
Rough Granular Computing in Knowledge Discovery and Data Mining Book PDF

Author : J. Stepaniuk
Publisher : Springer
Page : 162 pages
File Size : 45,7 Mb
Release : 2009-01-29
Category : Computers
ISBN : 9783540708018

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Rough – Granular Computing in Knowledge Discovery and Data Mining by J. Stepaniuk Pdf

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.

Granular Computing and Decision-Making

Witold Pedrycz,Shyi-Ming Chen
Granular Computing and Decision Making Book PDF

Author : Witold Pedrycz,Shyi-Ming Chen
Publisher : Springer
Page : 368 pages
File Size : 44,7 Mb
Release : 2015-04-21
Category : Technology & Engineering
ISBN : 9783319168296

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Granular Computing and Decision-Making by Witold Pedrycz,Shyi-Ming Chen Pdf

This volume is devoted to interactive and iterative processes of decision-making– I2 Fuzzy Decision Making, in brief. Decision-making is inherently interactive. Fuzzy sets help realize human-machine communication in an efficient way by facilitating a two-way interaction in a friendly and transparent manner. Human-centric interaction is of paramount relevance as a leading guiding design principle of decision support systems. The volume provides the reader with an updated and in-depth material on the conceptually appealing and practically sound methodology and practice of I2 Fuzzy Decision Making. The book engages a wealth of methods of fuzzy sets and Granular Computing, brings new concepts, architectures and practice of fuzzy decision-making providing the reader with various application studies. The book is aimed at a broad audience of researchers and practitioners in numerous disciplines in which decision-making processes play a pivotal role and serve as a vehicle to produce solutions to existing problems. Those involved in operations research, management, various branches of engineering, social sciences, logistics, and economics will benefit from the exposure to the subject matter. The book may serve as a useful and timely reference material for graduate students and senior undergraduate students in courses on decision-making, Computational Intelligence, operations research, pattern recognition, risk management, and knowledge-based systems.

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

Yiyu Yao,Qinghua Hu,Hong Yu,Jerzy W. Grzymala-Busse
Rough Sets Fuzzy Sets Data Mining and Granular Computing Book PDF

Author : Yiyu Yao,Qinghua Hu,Hong Yu,Jerzy W. Grzymala-Busse
Publisher : Springer
Page : 505 pages
File Size : 50,9 Mb
Release : 2015-11-21
Category : Computers
ISBN : 9783319257839

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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing by Yiyu Yao,Qinghua Hu,Hong Yu,Jerzy W. Grzymala-Busse Pdf

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.

Handbook of Granular Computing

Witold Pedrycz,Andrzej Skowron,Vladik Kreinovich
Handbook of Granular Computing Book PDF

Author : Witold Pedrycz,Andrzej Skowron,Vladik Kreinovich
Publisher : John Wiley & Sons
Page : 1148 pages
File Size : 54,5 Mb
Release : 2008-07-31
Category : Technology & Engineering
ISBN : 9780470724156

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Handbook of Granular Computing by Witold Pedrycz,Andrzej Skowron,Vladik Kreinovich Pdf

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 and Intelligent Systems

Witold Pedrycz,Shyi-Ming Chen
Granular Computing and Intelligent Systems Book PDF

Author : Witold Pedrycz,Shyi-Ming Chen
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 52,5 Mb
Release : 2011-04-28
Category : Technology & Engineering
ISBN : 9783642198205

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Granular Computing and Intelligent Systems by Witold Pedrycz,Shyi-Ming Chen Pdf

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.

Thriving Rough Sets

Guoyin Wang,Andrzej Skowron,Yiyu Yao,Dominik Ślęzak,Lech Polkowski
Thriving Rough Sets Book PDF

Author : Guoyin Wang,Andrzej Skowron,Yiyu Yao,Dominik Ślęzak,Lech Polkowski
Publisher : Springer
Page : 439 pages
File Size : 53,8 Mb
Release : 2017-04-28
Category : Technology & Engineering
ISBN : 9783319549668

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Thriving Rough Sets by Guoyin Wang,Andrzej Skowron,Yiyu Yao,Dominik Ślęzak,Lech Polkowski Pdf

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.

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

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

Author : Yao, JingTao
Publisher : IGI Global
Page : 570 pages
File Size : 48,7 Mb
Release : 2010-06-30
Category : Education
ISBN : 9781605663258

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

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

Dominik Slezak,Marcin Szczuka,Ivo Duentsch,Yiyu Yao
Rough Sets Fuzzy Sets Data Mining and Granular Computing Book PDF

Author : Dominik Slezak,Marcin Szczuka,Ivo Duentsch,Yiyu Yao
Publisher : Springer
Page : 748 pages
File Size : 46,6 Mb
Release : 2005-09-19
Category : Computers
ISBN : 9783540318255

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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing by Dominik Slezak,Marcin Szczuka,Ivo Duentsch,Yiyu Yao Pdf

This volume contains the papers selected for presentation at the 10th Int- national Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2005, organized at the University of Regina, August 31st–September 3rd, 2005. This conference followed in the footsteps of inter- tional events devoted to the subject of rough sets, held so far in Canada, China, Japan,Poland,Sweden, and the USA. RSFDGrC achievedthe status of biennial international conference, starting from 2003 in Chongqing, China. The theory of rough sets, proposed by Zdzis law Pawlak in 1982, is a model of approximate reasoning. The main idea is based on indiscernibility relations that describe indistinguishability of objects. Concepts are represented by - proximations. In applications, rough set methodology focuses on approximate representation of knowledge derivable from data. It leads to signi?cant results in many areas such as ?nance, industry, multimedia, and medicine. The RSFDGrC conferences put an emphasis on connections between rough sets and fuzzy sets, granularcomputing, and knowledge discoveryand data m- ing, both at the level of theoretical foundations and real-life applications. In the case of this event, additional e?ort was made to establish a linkage towards a broader range of applications. We achieved it by including in the conference program the workshops on bioinformatics, security engineering, and embedded systems, as well as tutorials and sessions related to other application areas.

Topics in Rough Set Theory

Seiki Akama,Yasuo Kudo,Tetsuya Murai
Topics in Rough Set Theory Book PDF

Author : Seiki Akama,Yasuo Kudo,Tetsuya Murai
Publisher : Springer Nature
Page : 201 pages
File Size : 50,8 Mb
Release : 2019-09-10
Category : Technology & Engineering
ISBN : 9783030295660

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Topics in Rough Set Theory by Seiki Akama,Yasuo Kudo,Tetsuya Murai Pdf

This book discusses current topics in rough set theory. Since Pawlak’s rough set theory was first proposed to offer a basis for imprecise and uncertain data and reasoning from data, many workers have investigated its foundations and applications. Examining various topical issues, including object-oriented rough set models, recommendation systems, decision tables, and granular computing, the book is a valuable resource for students and researchers in the field.

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

Rafael Bello,Rafael Falcón,Witold Pedrycz
Granular Computing At the Junction of Rough Sets and Fuzzy Sets Book PDF

Author : Rafael Bello,Rafael Falcón,Witold Pedrycz
Publisher : Springer
Page : 335 pages
File Size : 51,5 Mb
Release : 2007-12-23
Category : Technology & Engineering
ISBN : 9783540769736

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Granular Computing: At the Junction of Rough Sets and Fuzzy Sets by Rafael Bello,Rafael Falcón,Witold Pedrycz Pdf

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.

Rough Sets

Lech Polkowski,Yiyu Yao,Piotr Artiemjew,Davide Ciucci,Dun Liu,Dominik Ślęzak,Beata Zielosko
Rough Sets Book PDF

Author : Lech Polkowski,Yiyu Yao,Piotr Artiemjew,Davide Ciucci,Dun Liu,Dominik Ślęzak,Beata Zielosko
Publisher : Springer
Page : 581 pages
File Size : 49,8 Mb
Release : 2017-06-22
Category : Computers
ISBN : 9783319608402

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Rough Sets by Lech Polkowski,Yiyu Yao,Piotr Artiemjew,Davide Ciucci,Dun Liu,Dominik Ślęzak,Beata Zielosko Pdf

This two-volume set LNAI 10313 and LNAI 10314 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2017, held in Olsztyn, Poland, in July 2017. The 74 revised full papers presented together with 16 short papers and 16 invited talks, were carefully reviewed and selected from 130 submissions. The papers in this two set-volume of IJCRS 2017 follow the track already rutted by RSCTC and JRS conferences which aimed at unification of many facets of rough set theory from theoretical aspects of the rough set idea bordering on theory of concepts and going through algebraic structures, topological structures, logics for uncertain reasoning, decision algorithms, relations to other theories of vagueness and ambiguity, then to extensions of the rough set idea like granular structures, rough mereology, and to applications of the idea in diverse fields of applied science including hybrid methods like rough-fuzzy, neuro-rough, neuro-rough-fuzzy computing. IJCRS 2017 encompasses topics spread among four main tracks: Rough Sets and Data Science (in relation to RSCTC series organized since 1998); Rough Sets and Granular Computing (in relation to RSFDGrC series organized since 1999); Rough Sets and Knowledge Technology (in relation to RSKT series organized since 2006); and Rough Sets and Intelligent Systems (in relation to RSEISP series organized since 2007).

Rough Set Theory and Granular Computing

Masahiro Inuiguchi,Shusaku Tsumoto,Shoji Hirano
Rough Set Theory and Granular Computing Book PDF

Author : Masahiro Inuiguchi,Shusaku Tsumoto,Shoji Hirano
Publisher : Springer
Page : 303 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783540364733

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Rough Set Theory and Granular Computing by Masahiro Inuiguchi,Shusaku Tsumoto,Shoji Hirano Pdf

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

Guoyin Wang,Qing Liu,Yiyu Yao
Rough Sets Fuzzy Sets Data Mining and Granular Computing Book PDF

Author : Guoyin Wang,Qing Liu,Yiyu Yao
Publisher : Springer
Page : 746 pages
File Size : 54,7 Mb
Release : 2003-08-03
Category : Computers
ISBN : 9783540392057

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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing by Guoyin Wang,Qing Liu,Yiyu Yao Pdf

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, Fuzzy Sets, Data Mining and Granular Computing

Aijun An,Jerzy Stefanowski,Sheela Ramanna,Cory Butz,Witold Pedrycz
Rough Sets Fuzzy Sets Data Mining and Granular Computing Book PDF

Author : Aijun An,Jerzy Stefanowski,Sheela Ramanna,Cory Butz,Witold Pedrycz
Publisher : Springer
Page : 588 pages
File Size : 50,5 Mb
Release : 2007-08-22
Category : Computers
ISBN : 9783540725305

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Rough Sets, Fuzzy Sets, Data Mining and Granular Computing by Aijun An,Jerzy Stefanowski,Sheela Ramanna,Cory Butz,Witold Pedrycz Pdf

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.