Topics In Rough Set Theory

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Rough Sets

Lech Polkowski
Rough Sets Book PDF

Author : Lech Polkowski
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 49,5 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9783790817768

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Rough Sets by Lech Polkowski Pdf

A comprehensive introduction to mathematical structures essential for Rough Set Theory. The book enables the reader to systematically study all topics of rough set theory. After a detailed introduction in Part 1 along with an extensive bibliography of current research papers. Part 2 presents a self-contained study that brings together all the relevant information from respective areas of mathematics and logics. Part 3 provides an overall picture of theoretical developments in rough set theory, covering logical, algebraic, and topological methods. Topics covered include: algebraic theory of approximation spaces, logical and set-theoretical approaches to indiscernibility and functional dependence, topological spaces of rough sets. The final part gives a unique view on mutual relations between fuzzy and rough set theories (rough fuzzy and fuzzy rough sets). Over 300 excercises allow the reader to master the topics considered. The book can be used as a textbook and as a reference work.

Rough Set Theory: A True Landmark in Data Analysis

Ajith Abraham,Rafael Falcón,Rafael Bello
Rough Set Theory A True Landmark in Data Analysis Book PDF

Author : Ajith Abraham,Rafael Falcón,Rafael Bello
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 49,7 Mb
Release : 2009-02-26
Category : Computers
ISBN : 9783540899204

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Rough Set Theory: A True Landmark in Data Analysis by Ajith Abraham,Rafael Falcón,Rafael Bello Pdf

Part 1 of this book deals with theoretical contributions of rough set theory, and parts 2 and 3 focus on several real world data mining applications. The book thoroughly explores recent results in rough set research.

Rough Sets

Z. Pawlak
Rough Sets Book PDF

Author : Z. Pawlak
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789401135344

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Rough Sets by Z. Pawlak Pdf

To-date computers are supposed to store and exploit knowledge. At least that is one of the aims of research fields such as Artificial Intelligence and Information Systems. However, the problem is to understand what knowledge means, to find ways of representing knowledge, and to specify automated machineries that can extract useful information from stored knowledge. Knowledge is something people have in their mind, and which they can express through natural language. Knowl edge is acquired not only from books, but also from observations made during experiments; in other words, from data. Changing data into knowledge is not a straightforward task. A set of data is generally disorganized, contains useless details, although it can be incomplete. Knowledge is just the opposite: organized (e.g. laying bare dependencies, or classifications), but expressed by means of a poorer language, i.e. pervaded by imprecision or even vagueness, and assuming a level of granularity. One may say that knowledge is summarized and organized data - at least the kind of knowledge that computers can store.

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 : 48,5 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.

Rough Sets and Data Mining

T.Y. Lin,N. Cercone
Rough Sets and Data Mining Book PDF

Author : T.Y. Lin,N. Cercone
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461314615

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Rough Sets and Data Mining by T.Y. Lin,N. Cercone Pdf

Rough Sets and Data Mining: Analysis of Imprecise Data is an edited collection of research chapters on the most recent developments in rough set theory and data mining. The chapters in this work cover a range of topics that focus on discovering dependencies among data, and reasoning about vague, uncertain and imprecise information. The authors of these chapters have been careful to include fundamental research with explanations as well as coverage of rough set tools that can be used for mining data bases. The contributing authors consist of some of the leading scholars in the fields of rough sets, data mining, machine learning and other areas of artificial intelligence. Among the list of contributors are Z. Pawlak, J Grzymala-Busse, K. Slowinski, and others. Rough Sets and Data Mining: Analysis of Imprecise Data will be a useful reference work for rough set researchers, data base designers and developers, and for researchers new to the areas of data mining and rough sets.

Understanding and Using Rough Set Based Feature Selection: Concepts, Techniques and Applications

Muhammad Summair Raza,Usman Qamar
Understanding and Using Rough Set Based Feature Selection Concepts Techniques and Applications Book PDF

Author : Muhammad Summair Raza,Usman Qamar
Publisher : Springer Nature
Page : 236 pages
File Size : 54,8 Mb
Release : 2019-08-23
Category : Computers
ISBN : 9789813291669

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Understanding and Using Rough Set Based Feature Selection: Concepts, Techniques and Applications by Muhammad Summair Raza,Usman Qamar Pdf

This book provides a comprehensive introduction to rough set-based feature selection. Rough set theory, first proposed by Zdzislaw Pawlak in 1982, continues to evolve. Concerned with the classification and analysis of imprecise or uncertain information and knowledge, it has become a prominent tool for data analysis, and enables the reader to systematically study all topics in rough set theory (RST) including preliminaries, advanced concepts, and feature selection using RST. The book is supplemented with an RST-based API library that can be used to implement several RST concepts and RST-based feature selection algorithms. The book provides an essential reference guide for students, researchers, and developers working in the areas of feature selection, knowledge discovery, and reasoning with uncertainty, especially those who are working in RST and granular computing. The primary audience of this book is the research community using rough set theory (RST) to perform feature selection (FS) on large-scale datasets in various domains. However, any community interested in feature selection such as medical, banking, and finance can also benefit from the book. This second edition also covers the dominance-based rough set approach and fuzzy rough sets. The dominance-based rough set approach (DRSA) is an extension of the conventional rough set approach and supports the preference order using the dominance principle. In turn, fuzzy rough sets are fuzzy generalizations of rough sets. An API library for the DRSA is also provided with the second edition of the book.

Transactions on Rough Sets II

James F. Peters,Didier Dubois,Jerzy Grzymala-Busse,Masahiro Inuiguchi,Lech Polkowski
Transactions on Rough Sets II Book PDF

Author : James F. Peters,Didier Dubois,Jerzy Grzymala-Busse,Masahiro Inuiguchi,Lech Polkowski
Publisher : Springer
Page : 363 pages
File Size : 46,6 Mb
Release : 2004-11-29
Category : Computers
ISBN : 9783540277781

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Transactions on Rough Sets II by James F. Peters,Didier Dubois,Jerzy Grzymala-Busse,Masahiro Inuiguchi,Lech Polkowski Pdf

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, starting from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness and incompleteness, such as fuzzy sets and theory of evidence. This second volume of the Transactions on Rough Sets presents 17 thoroughly reviewed revised papers devoted to rough set theory, fuzzy set theory; these papers highlight important aspects of these theories, their interrelation and application in various fields.

Rough Set Theory: A True Landmark in Data Analysis

Ajith Abraham,Rafael Falcón,Rafael Bello
Rough Set Theory A True Landmark in Data Analysis Book PDF

Author : Ajith Abraham,Rafael Falcón,Rafael Bello
Publisher : Springer
Page : 324 pages
File Size : 48,9 Mb
Release : 2008-12-23
Category : Computers
ISBN : 9783540899211

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Rough Set Theory: A True Landmark in Data Analysis by Ajith Abraham,Rafael Falcón,Rafael Bello Pdf

Along the years, rough set theory has earned a well-deserved reputation as a sound methodology for dealing with imperfect knowledge in a simple though mathematically sound way. This edited volume aims at continue stressing the benefits of applying rough sets in many real-life situations while still keeping an eye on topological aspects of the theory as well as strengthening its linkage with other soft computing paradigms. The volume comprises 11 chapters and is organized into three parts. Part 1 deals with theoretical contributions while Parts 2 and 3 focus on several real world data mining applications. Chapters authored by pioneers were selected on the basis of fundamental ideas/concepts rather than the thoroughness of techniques deployed. Academics, scientists as well as engineers working in the rough set, computational intelligence, soft computing and data mining research area will find the comprehensive coverage of this book invaluable.

Transactions on Rough Sets XII

James F. Peters,Roman Slowinski,Andrzej Skowron,Pawan Lingras,Duoqian Miao,Shusaku Tsumoto
Transactions on Rough Sets XII Book PDF

Author : James F. Peters,Roman Slowinski,Andrzej Skowron,Pawan Lingras,Duoqian Miao,Shusaku Tsumoto
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 51,9 Mb
Release : 2010-07-15
Category : Computers
ISBN : 9783642144660

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Transactions on Rough Sets XII by James F. Peters,Roman Slowinski,Andrzej Skowron,Pawan Lingras,Duoqian Miao,Shusaku Tsumoto Pdf

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. This volume contains 8 revised selected papers from 11 submissions to the Rough Set and Knowledge Technology Conference (RSKT 2008), together with 5 papers introducing advances in rough set theory and its applications. The topics covered are: perceptually near Pawlak partitions, hypertext classification, topological space versus rough set theory in terms of lattice theory, feature extraction in interval-valued information systems, jumping emerging patterns (JEP), and rough set theory.

Data Mining and Knowledge Discovery in Real Life Applications

Julio Ponce,Adem Karahoca
Data Mining and Knowledge Discovery in Real Life Applications Book PDF

Author : Julio Ponce,Adem Karahoca
Publisher : BoD – Books on Demand
Page : 404 pages
File Size : 46,5 Mb
Release : 2009-01-01
Category : Computers
ISBN : 9783902613530

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Data Mining and Knowledge Discovery in Real Life Applications by Julio Ponce,Adem Karahoca Pdf

This book presents four different ways of theoretical and practical advances and applications of data mining in different promising areas like Industrialist, Biological, and Social. Twenty six chapters cover different special topics with proposed novel ideas. Each chapter gives an overview of the subjects and some of the chapters have cases with offered data mining solutions. We hope that this book will be a useful aid in showing a right way for the students, researchers and practitioners in their studies.

Transactions on Rough Sets V

James F. Peters,Andrzej Skowron
Transactions on Rough Sets V Book PDF

Author : James F. Peters,Andrzej Skowron
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 40,6 Mb
Release : 2006-10-12
Category : Computers
ISBN : 9783540393825

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Transactions on Rough Sets V by James F. Peters,Andrzej Skowron Pdf

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence.This fifth volume of the Transactions on Rough Sets is dedicated to the monumental life, work and creative genius of Zdzis{l}aw Pawlak, the originator of rough sets, who passed away in April 2006. It opens with a commemorative article that gives a brief coverage of Pawlak's works in rough set theory, molecular computing, philosophy, painting and poetry. Fifteen papers explore the theory of rough sets in various domains as well as new applications of rough sets. In addition, this volume of the TRS includes a complete monograph on rough sets and approximate Boolean reasoning systems that includes both the foundations as well as applications of data mining.

Incomplete Information: Rough Set Analysis

Ewa Orlowska
Incomplete Information Rough Set Analysis Book PDF

Author : Ewa Orlowska
Publisher : Physica
Page : 615 pages
File Size : 42,8 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783790818888

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Incomplete Information: Rough Set Analysis by Ewa Orlowska Pdf

In 1982, Professor Pawlak published his seminal paper on what he called "rough sets" - a work which opened a new direction in the development of theories of incomplete information. Today, a decade and a half later, the theory of rough sets has evolved into a far-reaching methodology for dealing with a wide variety of issues centering on incompleteness and imprecision of information - issues which playa key role in the conception and design of intelligent information systems. "Incomplete Information: Rough Set Analysis" - or RSA for short - presents an up-to-date and highly authoritative account of the current status of the basic theory, its many extensions and wide-ranging applications. Edited by Professor Ewa Orlowska, one of the leading contributors to the theory of rough sets, RSA is a collection of nineteen well-integrated chapters authored by experts in rough set theory and related fields. A common thread that runs through these chapters ties the concept of incompleteness of information to those of indiscernibility and similarity.

Advances in Applied Logics

Jair Minoro Abe
Advances in Applied Logics Book PDF

Author : Jair Minoro Abe
Publisher : Springer Nature
Page : 210 pages
File Size : 53,5 Mb
Release : 2023-12-01
Category : Technology & Engineering
ISBN : 9783031357596

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Advances in Applied Logics by Jair Minoro Abe Pdf

This book contains contributions from several international authors to topics of current interest, such as AI, intelligent systems, and logic applications in different branches of knowledge. Foundational aspects of the various techniques are also covered, notably non-classical formalisms. The tome is intended for researchers, undergraduate and graduate students, and lay readers. The book is dedicated to researcher Seiki Akama on his sixtieth birthday. Akama is one of the critical scientists who dedicated himself to understanding the use of alternative logic in the various issues of AI, ranging from its foundations to concrete applications and philosophical reflections.

Rough Set Methods and Applications

Lech Polkowski,Shusaku Tsumoto,Tsau Y. Lin
Rough Set Methods and Applications Book PDF

Author : Lech Polkowski,Shusaku Tsumoto,Tsau Y. Lin
Publisher : Physica
Page : 679 pages
File Size : 43,8 Mb
Release : 2012-10-07
Category : Computers
ISBN : 9783790818406

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Rough Set Methods and Applications by Lech Polkowski,Shusaku Tsumoto,Tsau Y. Lin Pdf

Rough set approach to reasoning under uncertainty is based on inducing knowledge representation from data under constraints expressed by discernibility or, more generally, similarity of objects. Knowledge derived by this approach consists of reducts, decision or association rules, dependencies, templates, or classifiers. This monograph presents the state of the art of this area. The reader will find here a deep theoretical discussion of relevant notions and ideas as well as rich inventory of algorithmic and heuristic tools for knowledge discovery by rough set methods. An extensive bibliography will help the reader to get an acquaintance with this rapidly growing area of research.

Transactions on Rough Sets XVIII

James F. Peters,Andrzej Skowron,Tianrui Li,Yan Yang,JingTao Yao,Hung Son Nguyen
Transactions on Rough Sets XVIII Book PDF

Author : James F. Peters,Andrzej Skowron,Tianrui Li,Yan Yang,JingTao Yao,Hung Son Nguyen
Publisher : Springer
Page : 142 pages
File Size : 41,5 Mb
Release : 2014-08-19
Category : Computers
ISBN : 9783662446805

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Transactions on Rough Sets XVIII by James F. Peters,Andrzej Skowron,Tianrui Li,Yan Yang,JingTao Yao,Hung Son Nguyen Pdf

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. Volume XVIII includes extensions of papers from the Joint Rough Set Symposium (JRS 2012), which was held in Chengdu, China, in August 2012. The seven papers that constitute this volume deal with topics such as: rough fuzzy sets, intuitionistic fuzzy sets, multi-granulation rough sets, decision-theoretic rough sets, three-way decisions and their applications in attribute reduction, feature selection, overlapping clustering, data mining, cost-sensitive learning, face recognition, and spam filtering.