Rough Set Methods And Applications
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| Author | : Lech Polkowski |
| Publisher | : Physica |
| Total Pages | : 679 |
| Release | : 2012-10-07 |
| Genre | : Computers |
| ISBN | : 3790818402 |
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.
| Author | : Masahiro Inuiguchi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 2003-04-22 |
| Genre | : Computers |
| ISBN | : 9783540005742 |
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.
| Author | : Lech Polkowski |
| Publisher | : Boom Koninklijke Uitgevers |
| Total Pages | : 616 |
| Release | : 1998-08-20 |
| Genre | : Business & Economics |
| ISBN | : 9783790811209 |
The ideas and techniques worked out in Rough Set Theory allow for knowledge reduction and to finding near - to - functional dependencies in data. This fact determines the importance of these techniques for the rapidly growing field of knowledge discovery. Volume 1 and 2 will bring together articles covering the present state of the methods developed in this field of research. Among the topics covered we may mention: rough mereology and rough mereological approach to knowledge discovery in distributed systems; discretization and quantization of attributes; morphological aspects of rough set theory; analysis of default rules in the framework of rough set theory.
| Author | : Ewa Orlowska |
| Publisher | : Physica |
| Total Pages | : 615 |
| Release | : 2013-03-14 |
| Genre | : Computers |
| ISBN | : 3790818887 |
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.
| Author | : Lech Polkowski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 549 |
| Release | : 2013-06-05 |
| Genre | : Mathematics |
| ISBN | : 3790817767 |
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.
| Author | : Georg Peters |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 213 |
| Release | : 2012-02-21 |
| Genre | : Computers |
| ISBN | : 1447127609 |
Rough Set Theory, introduced by Pawlak in the early 1980s, has become an important part of soft computing within the last 25 years. However, much of the focus has been on the theoretical understanding of Rough Sets, with a survey of Rough Sets and their applications within business and industry much desired. Rough Sets: Selected Methods and Applications in Management and Engineering provides context to Rough Set theory, with each chapter exploring a real-world application of Rough Sets. Rough Sets is relevant to managers striving to improve their businesses, industry researchers looking to improve the efficiency of their solutions, and university researchers wanting to apply Rough Sets to real-world problems.
| Author | : James F. Peters |
| Publisher | : Springer |
| Total Pages | : 371 |
| Release | : 2004-11-29 |
| Genre | : Computers |
| ISBN | : 3540277781 |
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.
| Author | : James J. Alpigini |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 654 |
| Release | : 2002-09-25 |
| Genre | : Computers |
| ISBN | : 354044274X |
This book constitutes the refereed proceedings of the Third International Conference on Rough Sets and Current Trends in Computing, RSCTC 2002, held in Malvern, PA, USA in October 2002. The 76 revised regular papers and short communications presented together with 2 keynotes and 5 plenary papers were carefully reviewed and selected from more than 100 submissions. The book offers topical sections on foundation and methods; granular and neural computing; probabilistic reasoning; data mining, machine learning and pattern recognition; Web mining; and applications.
| Author | : Z. Pawlak |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 247 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 9401135347 |
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.
| Author | : Guoyin Wang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 830 |
| Release | : 2006-07-06 |
| Genre | : Computers |
| ISBN | : 3540362975 |
This book constitutes the refereed proceedings of the First International Conference on Rough Sets and Knowledge Technology, RSKT 2006, held in Chongqing, China in July 2006. The volume presents 43 revised full papers and 58 revised short papers, together with 15 commemorative and invited papers. Topics include rough computing, evolutionary computing, fuzzy sets, granular computing, neural computing, machine learning and KDD, logics and reasoning, multiagent systems and Web intelligence, and more.
