Volume III of the Transactions on Rough Sets (TRS) introduces advances
in the theory and application of rough sets. These advances have
far-reaching impli- tions in a number of researchareas such as
approximate reasoning, bioinform- ics, computerscience, datamining,
engineering(especially, computerengineering and signal analysis),
intelligent systems, knowledge discovery, pattern recog- tion,
machineintelligence, andvariousformsoflearning. This volumerevealsthe
vigor, breadth and depth in research either directly or indirectly
related to the rough sets theory introduced by Prof. Zdzis law Pawlak
more than three decades ago. Evidence of this can be found in the
seminal paper on data mining by Prof. Pawlak included in this volume. In
addition, there are eight papers on the theory and application of rough
sets as well as a presentation of a new version of the Rough Set
Exploration System (RSES) tool set and an introduction to the Rough Set
Database System (RSDS). Prof. Pawlak has contributed a pioneering paper
on data mining to this v- ume. In this paper, it is shown that
information ?ow in a ?ow graph is governed by Bayes' rule with a
deterministic rather than a probabilistic interpretation. A cardinal
feature of this paper is that it is self-contained inasmuch as it not
only introduces a new viewof information?owbut
alsoprovidesanintroduction to the basic concepts of ?ow graphs. The
representation of information ?ow - troduced in this paper makes it
possible to study di?erent relationships in data and establishes a basis
for a new mathematical tool for data mining. Inadditionto
thepaperbyProf.