Volume IX of the Transactions on Rough Sets (TRS) provides evidence
of the continuing growth of a number of research streams that were
either directly or indirectly begun by the seminal work on rough
sets by Zdzis law Pawlak (1926- 1 2006)
.OneoftheseresearchstreamsinspiredbyProf.Pawlakisroughset-based
intelligent systems, a topic that was an important part of his
early 1970s work on knowledge description systems prior to his
discovery of rough sets during the early 1980s. Evidence of
intelligent systems as a recurring motif over the past
twodecadescanbefoundintherough-setliteraturethatnowincludesover4,000
2 publications by more than 1,600 authors in the rough set database
. This volume of the TRS includes articles that are extensions of
papers in- 3
cludedinthe?rstconferenceonRoughSetsandIntelligentSystemsParadigms
. In addition to research on intelligent systems, this volume 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 and
applications of arti?cial intelligence, engineering, image
processing, logic, mathematics, medicine, music, and science. These
advances have sign- icant implications in a number of research
areas such as attribute reduction, approximation schemes,
category-based inductive reasoning, classi?ers, classi- ing
mappings, context algebras, data mining, decision attributes,
decision rules, decision support, diagnostic feature analysis, EEG
classi?cation, feature ana- sis, granular computing, hierarchical
classi?ers, indiscernibility relations, inf- mationgranulation,
informationsystems, musicalrhythm retrieval, probabilistic
dependencies, reducts, rough-fuzzy C-means, rough inclusion
functions, rou- ness, singing voice recognition, and vagueness. A
total of 47 researchers are represented in this volu
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