Volume XI of the Transactions on Rough Sets (TRS) provides evidence of
f- ther growth in the rough set landscape, both in terms of its
foundations and applications. This volume provides further evidence of
the number of research streams that were either directly or indirectly
initiated by the seminal work on rough 1 sets by Zdzis law Pawlak
(1926-2006) . Evidence of the growth of various rough 2 set-based
research streams can be found in the rough set database .
Thisvolumecontainsarticlesintroducingadvancesinthefoundationsand-
plicationsofroughsets.These advancesinclude: calculusofattribute-value
pairs useful in mining numerical data, de?nability and coalescence of
approximations, variable consistency generalization approach to bagging
controlled by measures of consistency, classical and dominance-based
rough sets in the search for genes,
judgementaboutsatis?abilityunderincompleteinformation, irreducibledescr-
tive sets of attributes for information systems useful in the design of
concurrent data models, computational theory of perceptions (CTP) and
its characteristics and the relation with fuzzy-granulation, methods and
algorithms of the Net- TRS system, a recursive version of the apriori
algorithm designed for parallel processing, and decision table reduction
method based on fuzzy rough sets.
Theeditorsandauthorsofthisvolumeextendtheirgratitudetothereviewers of
articles in this volume, Alfred Hofmann, Ursula Barth, Christine Reiss
and the LNCS sta? at Springer for their support in making this volume of
the TRS possible
