Volume X of the Transactions on Rough Sets (TRS) provides evidence of further growth in the rough set landscape, both in terms of its foundations and its applications. This volume of the TRS re?ects a number of research streams that were eitherdirectly orindirectly begunbytheseminalworkonroughsetsbyZdzis law 1 Pawlak (1926-2006) . This seminal work started with Zdzis law Pawlak's early 1970s work on knowledge description systems prior to his discovery of rough sets during the early 1980s. Evidence of the growth of various rough set-based 2 research streams can be found in the rough set database . This volume includes articles that are part of a special issue on "Foundations ofRoughSets"originallyproposedbyMihirChakraborty.Inadditiontoresearch on the foundations of rough sets, this volume of the TRS also presents papers that re?ect the profound in?uence of a number of other research initiatives by Zdzis law Pawlak. In particular, this volume introduces a number of new advances in the fo- dations of rough sets. These advances have signi?cant implications in a number of research areas such as entailment and approximation operators, extensions of informationsystems, informationentropyand granulation, lattices, multicriteria attractiveness evaluation of decision and association rules, ontological systems, rough approximation, and rough geometry in image analysis. ThisvolumeoftheTRShasbeenmadepossiblethankstothelaudablee?orts ofagreatmanygenerouspersonsandorganizations.Weextendourthankstothe following reviewers: Cheng Ching-Hsue, MartineDeCock, IvoDun ] tsch, Jianwen Fang, Anna Gomolin ska, Salvatore Greco, Jerzy W. Grzyma la-Busse, Masahiro Inuiguchi, Szymon Jaroszewicz, Jouni Ja ]rvinen, Piero Pagliani, Sankar Kumar Pal, Lech Polkowski, Yuhua Qian, Jaros law Stepaniuk, Wojciech Ziarko and Yiyu Yao."

This book constitutes the refereed proceedings of the Second International Conference on Rough Sets and Knowledge Technology, RSKT 2007, held in Toronto, Canada in May 2007 in conjunction with the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2007, both as part of the Joint Rough Set Symposium, JRS 2007.

The 67 revised full papers papers presented together with 3 invited papers were carefully reviewed and selected from a total of 319 general submissions to the JRS 2007 symposium. The papers are organized in topical sections on rough set foundations, multiple criteria decision analysis, biometrics, kansei engineering, autonomy-oriented computing, soft computing in bioinformatics, ubiquitous computing and networking, rough set algorithms, knowledge representation and reasoning, genetic algorithms, and rough set applications.

This book constitutes the thoroughly refereed conference proceedings of the 10th International Conference on Rough Sets and Knowledge Technology, RSKT 2015, held in Tianjin, China, in November 2015, as part of the International Joint Conference on Rough Sets, IJCRS 2015, together with the 15th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, RSFDgrC 2015. The 66 papers presented at IJCRS 2015 were carefully reviewed and selected from 97 submissions. The 38 papers included in this volume are organized in the following topical sections: rough sets: the experts speak; reducts and rules; three-way decisions; logic and algebra; clustering; rough sets and graphs; and modeling and learning. In addition the volume contains 6 contributions by new fellows of the International Rough Set Society, an invited talk and a tutorial.