Format:
1 Online-Ressource(XIX, 534 p. 3 illus.)
Edition:
1st ed. 2002.
ISBN:
9783790817768
Series Statement:
Advances in Intelligent and Soft Computing 15
Content:
1 Rough Set Theory: An Introduction -- 2 The Sentential Calculus -- 3 Logical Theory of Approximations -- 4 Many—Valued Sentential Calculi -- 5 Propositional Modal Logic -- 6 Set Theory -- 7 Topological Structures -- 8 Algebraic Structures -- 9 Predicate Calculus -- 10 Independence, Approximation -- 11 Topology of Rough Sets -- 12 Algebra and Logic of Rough Sets -- 13 Infinite—valued Logical Calculi -- 14 From Rough to Fuzzy -- List of Symbols.
Content:
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.
Note:
Description based upon print version of record
Additional Edition:
ISBN 9783790815108
Additional Edition:
ISBN 9783662003060
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783790815108
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783662003060
Language:
English
DOI:
10.1007/978-3-7908-1776-8
URL:
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