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.
