Tag: Sets

Free Download Advances in Type-2 Fuzzy Sets and Systems: Theory and Applications By Jerry M. Mendel (auth.), Alireza Sadeghian, Jerry M. Mendel, Hooman Tahayori (eds.)
2013 | 262 Pages | ISBN: 1461466652 | PDF | 5 MB
This book explores recent developments in the theoretical foundations and novel applications of general and interval type-2 fuzzy sets and systems, including: algebraic properties of type-2 fuzzy sets, geometric-based definition of type-2 fuzzy set operators, generalizations of the continuous KM algorithm, adaptiveness and novelty of interval type-2 fuzzy logic controllers, relations between conceptual spaces and type-2 fuzzy sets, type-2 fuzzy logic systems versus perceptual computers; modeling human perception of real world concepts with type-2 fuzzy sets, different methods for generating membership functions of interval and general type-2 fuzzy sets, and applications of interval type-2 fuzzy sets to control, machine tooling, image processing and diet. The applications demonstrate the appropriateness of using type-2 fuzzy sets and systems in real world problems that are characterized by different degrees of uncertainty.

Free Download Rough Sets and Intelligent Systems – Professor Zdzisław Pawlak in Memoriam: Volume 2 By Anita Wasilewska (auth.), Andrzej Skowron, Zbigniew Suraj (eds.)
2013 | 604 Pages | ISBN: 3642303404 | PDF | 8 MB
This book is dedicated to the memory of Professor Zdzis{\l}aw Pawlak who passed away almost six year ago. He is the founder of the Polish school of Artificial Intelligence and one of the pioneers in Computer Engineering and Computer Science with worldwide influence. He was a truly great scientist, researcher, teacher and a human being.This book prepared in two volumes contains more than 50 chapters. This demonstrates that the scientific approaches discovered by of Professor Zdzis{\l}aw Pawlak, especially the rough set approach as a tool for dealing with imperfect knowledge, are vivid and intensively explored by many researchers in many places throughout the world. The submitted papers prove that interest in rough set research is growing and is possible to see many new excellent results both on theoretical foundations and applications of rough sets alone or in combination with other approaches.We are proud to offer the readers this book.

Free Download Rough Sets and Current Trends in Computing: 4th International Conference, RSCTC 2004, Uppsala, Sweden, June 1-5, 2004. Proceedings By Zdzisław Pawlak (auth.), Shusaku Tsumoto, Roman Słowiński, Jan Komorowski, Jerzy W. Grzymała-Busse (eds.)
2004 | 860 Pages | ISBN: 3540221174 | PDF | 9 MB
In recent years rough set theory has attracted the attention of many researchers and practitioners all over the world, who have contributed essentially to its development and applications. Weareobservingagrowingresearchinterestinthefoundationsofroughsets, including the various logical, mathematical and philosophical aspects of rough sets. Some relationships have already been established between rough sets and other approaches, and also with a wide range of hybrid systems. As a result, rough sets are linked with decision system modeling and analysis of complex systems, fuzzy sets, neural networks, evolutionary computing, data mining and knowledge discovery, pattern recognition, machine learning, and approximate reasoning. In particular, rough sets are used in probabilistic reasoning, granular computing (including information granule calculi based on rough mereology), intelligent control, intelligent agent modeling, identi?cation of autonomous s- tems, and process speci?cation. Methods based on rough set theory alone or in combination with other – proacheshavebeendiscoveredwith awide rangeofapplicationsinsuchareasas: acoustics, bioinformatics, business and ?nance, chemistry, computer engineering (e.g., data compression, digital image processing, digital signal processing, p- allel and distributed computer systems, sensor fusion, fractal engineering), de- sion analysis and systems, economics, electrical engineering (e.g., control, signal analysis, power systems), environmental studies, informatics, medicine, mole- lar biology, musicology, neurology, robotics, social science, software engineering, spatial visualization, Web engineering, and Web mining.

Free Download Transactions on Rough Sets I: James F. Peters – Andrzej Skowron, Editors-in-Chief By Zdzisław Pawlak (auth.), James F. Peters, Andrzej Skowron, Jerzy W. Grzymała-Busse, Bożena Kostek, Roman W. Świniarski, Marcin S. Szczuka (eds.)
2004 | 406 Pages | ISBN: 3540223746 | PDF | 5 MB
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 first volume of the Transactions on Rough Sets opens with an introductory article by Zdzislaw Pawlak, the originator of rough sets. Nine papers deal with rough set theory and eight are devoted to applications in various domains.

Free Download Transactions on Rough Sets IV By Zdzisław Pawlak (auth.), James F. Peters, Andrzej Skowron (eds.)
2005 | 378 Pages | ISBN: 3540298304 | PDF | 3 MB
Volume IV of the Transactions on Rough Sets (TRS) introduces a number of new advances in the theory and application of rough sets. Rough sets and – proximationspaceswereintroducedmorethan30yearsagobyZdzis lawPawlak. These advances have profound implications in a number of research areas such as the foundations of rough sets, approximate reasoning, arti?cial intelligence, bioinformatics,computationalintelligence, cognitivescience, intelligentsystems, datamining,machineintelligence,andsecurity. Inaddition,itisevidentfromthe papers included in this volume that the foundations and applications of rough sets is a very active research area worldwide. A total of 16 researchers from 7 countries are represented in this volume, namely, Canada, India, Norway, S- den, Poland, Russia and the United States of America. Evidence of the vigor, breadth and depth of research in the theory and applications of rough sets can be found in the 10 articles in this volume. Prof. Pawlak has contributed a treatise on the philosophical underpinnings of rough sets. In this treatise, observations are made about the Cantor notion of a set, antinomies arising from Cantor sets, the problem of vagueness (es- cially, vague (imprecise) concepts), fuzzy sets, rough sets, fuzzy vs. rough sets as well as logic and rough sets. Among the many vistas and research directions suggested by Prof. Pawlak, one of the most fruitful concerns the model for a rough membership function, which was incarnated in many di?erent forms since its introduction by Pawlakand Skowronin 1994. Recall, here, that Prof.

Free Download Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing: 10th International Conference, RSFDGrC 2005, Regina, Canada, August 31 – September 3, 2005, Proceedings, Part I By Zdzisław Pawlak (auth.), Dominik Ślęzak, Guoyin Wang, Marcin Szczuka, Ivo Düntsch, Yiyu Yao (eds.)
2005 | 748 Pages | ISBN: 3540286535 | PDF | 9 MB
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.

Free Download Transactions on Rough Sets II: Rough Sets and Fuzzy Sets By Aijun An, Yanhui Huang, Xiangji Huang, Nick Cercone (auth.), James F. Peters, Andrzej Skowron, Didier Dubois, Jerzy W. Grzymała-Busse, Masahiro Inuiguchi, Lech Polkowski (eds.)
2005 | 363 Pages | ISBN: 3540239901 | PDF | 3 MB
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.

Free Download Rough Sets and Knowledge Technology: First International Conference, RSKT 2006, Chongquing, China, July 24-26, 2006. Proceedings By James F. Peters, Andrzej Skowron (auth.), Guo-Ying Wang, James F. Peters, Andrzej Skowron, Yiyu Yao (eds.)
2006 | 810 Pages | ISBN: 3540362975 | PDF | 11 MB
This volume contains the papers selected for presentation at the First Int- national Conference on Rough Sets and Knowledge Technology (RSKT 2006) organized in Chongqing, P. R. China, July 24-26, 2003. There were 503 s- missions for RSKT 2006 except for 1 commemorative paper, 4 keynote papers and 10 plenary papers. Except for the 15 commemorative and invited papers, 101 papers were accepted by RSKT 2006 and are included in this volume. The acceptance rate was only 20%. These papers were divided into 43 regular oral presentation papers (each allotted 8 pages), and 58 short oral presentation – pers (each allotted 6 pages) on the basis of reviewer evaluation. Each paper was reviewed by two to four referees. Since the introduction of rough sets in 1981 by Zdzis law Pawlak, many great advances in both the theory and applications have been introduced. Rough set theory is closely related to knowledge technology in a variety of forms such as knowledge discovery, approximate reasoning, intelligent and multiagent systems design, and knowledge intensive computations that signal the emergence of a knowledge technology age. The essence of growth in cutting-edge, state-of-t- art and promising knowledge technologies is closely related to learning, pattern recognition,machine intelligence and automation of acquisition, transformation, communication, exploration and exploitation of knowledge. A principal thrust of such technologies is the utilization of methodologies that facilitate knowledge processing.

Free Download Rough Sets and Current Trends in Computing: 5th International Conference, RSCTC 2006 Kobe, Japan, November 6-8, 2006 Proceedings By Zdzisław Pawlak (auth.), Salvatore Greco, Yutaka Hata, Shoji Hirano, Masahiro Inuiguchi, Sadaaki Miyamoto, Hung Son Nguyen, Roman Słowiński (eds.)
2006 | 954 Pages | ISBN: 3540476938 | PDF | 15 MB
This book constitutes the refereed proceedings of the 5th International Conference on Rough Sets and Current Trends in Computing, RSCTC 2006, held in Kobe, Japan in November 2006.The 91 revised full papers presented together with five invited papers and two commemorative papers were carefully reviewed and selected from 332 submissions. The papers are organized in topical sections on logics in rough sets, logics in fuzzy sets, fuzzy-rough hybridization, approximate and uncertain reasoning, variable precision rough set models, incomplete/nondeterministic information systems, decision support, multi-criteria decision support, rough sets in KDD, rough sets in medicine, granular computing, grey systems, ontology and mereology, statistical methods, machine learning, clustering, data mining, evolutionary computing, intelligent information systems, pattern recognition and image processing, as well as data clustering: algorithms and applications.

Free Download Transactions on Rough Sets VII: Commemorating the Life and Work of Zdzisław Pawlak, Part II By Andrzej Czyzewski (auth.), James F. Peters, Andrzej Skowron, Victor W. Marek, Ewa Orłowska, Roman Słowiński, Wojciech Ziarko (eds.)
2007 | 382 Pages | ISBN: 3540716629 | PDF | 7 MB
Together with volume VI of the Transactions on Rough Sets (TRS) series, this book commemorates the life and work of Zdzislaw Pawlak (1926-2006). Professor Pawlak’s legacy is rich and varied. His research contributions have had far-reaching implications inasmuch as his works have been fundamental in establishing new perspectives for scientific research in a wide spectrum of fields.This volume presents papers that reflect the profound influence of a number of research initiatives by Professor Pawlak. In particular, it introduces a number of advances in the foundations and applications of artificial intelligence, engineering, logic, mathematics, and science, which have had significant implications in a number of research areas, including bioinformatics, computational intelligence, data mining, information systems, intelligent systems, machine intelligence, and security.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, to relations between rough sets and other approaches to uncertainty, vagueness, and inc