A comprehensive introduction to mathematical structures essential
for Rough Set Theory. The book enables the reader to systematically
study all topics of rough set theory. After a detailed introduction
in Part 1 along with an extensive bibliography of current research
papers. Part 2 presents a self-contained study that brings together
all the relevant information from respective areas of mathematics
and logics. Part 3 provides an overall picture of theoretical
developments in rough set theory, covering logical, algebraic, and
topological methods. Topics covered include: algebraic theory of
approximation spaces, logical and set-theoretical approaches to
indiscernibility and functional dependence, topological spaces of
rough sets. The final part gives a unique view on mutual relations
between fuzzy and rough set theories (rough fuzzy and fuzzy rough
sets). Over 300 excercises allow the reader to master the topics
considered. The book can be used as a textbook and as a reference
work.
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