Intelligent decision support is based on human knowledge related to a specific part of a real or abstract world. When the knowledge is gained by experience, it is induced from empirical data. The data structure, called an information system, is a record of objects described by a set of attributes. Knowledge is understood here as an ability to classify objects. Objects being in the same class are indiscernible by means of attributes and form elementary building blocks (granules, atoms). In particular, the granularity of knowledge causes that some notions cannot be expressed precisely within available knowledge and can be defined only vaguely. In the rough sets theory created by Z. Pawlak each imprecise concept is replaced by a pair of precise concepts called its lower and upper approximation. These approximations are fundamental tools and reasoning about knowledge. The rough sets philosophy turned out to be a very effective, new tool with many successful real-life applications to its credit. It is worthwhile stressing that no auxiliary assumptions are needed about data, like probability or membership function values, which is its great advantage. The present book reveals a wide spectrum of applications of the rough set concept, giving the reader the flavor of, and insight into, the methodology of the newly developed disciplines. Although the book emphasizes applications, comparison with other related methods and further developments receive due attention.
Preface; Z. Pawlak. Scope and Goals of the Book; R. Slowinski. Part I: Applications of the Rough Sets Approach to Intelligent Decision Support. 1. LERS -- A System for Learning from Examples Based on Rough Sets; J.W. Grzymala-Busse. 2. Rough Sets in Computer Implemetation of Rule-Based Control of Industrial Process; A. Mrozek. 3. Analysis of Diagnostic Symptoms in Vibroacoustic Diagnostic by Means of the Rough Sets Theory; R. Nowicki, R. Slowinski, J. Stefanowski. 4. Knowledge-Based Process Control Using Rough Sets; A.J. Szladown, W.P. Ziarko. 5. Acquisition of Control Algorithms from Operation Data; W.P. Ziarko. 6. Rough Classification of HSV Patients; K. Slowinski. 7. Surgical Wound Infection -- Conducive Factors and their Mutual Dependencies; M. Kandulski, J. Marciniec, K. Tukallo. 8. Fuzzy Inference System Based on Rough Sets and its Application to Medical Diagnosis; H. Tanaka, H. Ishibuchi, T. Shigenaga. 9. Analysis of Structure-Activity Relationships of Quaternary Ammonium Compounds; J. Krysinski. 10. Rough Sets-Based Study of Voter Preference in 1988 U.S.A. Presidential Election; M. Hadjimichale, A. Wasilewska. 11. An Application of Rough Set Theory in the Control of Water Conditions in a Polder; A. Reinhard, B. Stawski, T. Weber, U. Wybraniec-Skardowska. 12. Use of 'Rough Sets' Methods to draw Premonitory Factors for Earthquakes by emphasising Gas Geochemistry: The Case of a Low Seismic Activity Context in Belgium; J. Teghem, J.-M. Charlet. 13. Rough Sets and Some Aspects of Logic Synthesis; T. Luba, J. Rybnik. Part II: Comparison with Related Methodologies. 1. Putting Rough Sets and Fuzzy Sets together; D. Dubois, H. Prade. 2. Applications of Fuzzy-Rough Classification to Logics; A. Nakamura. 3. Comparison of the Rough Sets Approach and Probalistic Data Analysis Techniques on a Common Set of Medical Data; E. Krusinska, A. Babic, R. Slowinski, J. Stefanowski. 4. Some Experiments to Compare Rough Sets Theory and Ordinal Statistical Methods; J. Teghem, M. Benjelloun. 5. Topological and Fuzzy Rough Sets; T. Lin. 6. On Convergence of Rough Sets; L.T. Polkowski. Part III: Further Developments. 1. Maintenance of Knowledge in Dynamic Systems; M.E. Orlowska, M.W. Orlowski. 2. The Discernibility Matrices and Functions in Information Systems; A. Skowron, C. Rauszer. 3. Sensitivity of Rough Classification to Changes in Norms of Attributes; K. Slowinski, R. Slowinksi. 4. Discretization of Condition Attributes Space; A. Lenarcik, Z. Piasta. 5. Consequence Relations and Information Systems; D. Vakarelov. 6. Rough Grammar for High Performance Management of Processes on a Distributed System; Z.M. Wojcik, B.E. Wojcik. 7. Learning Classification Rules from Database in the Context of Knowledge-Acquisition and Representation; R. Yasdi. 8. 'RoughDAS' and 'RoughClass' Software Implementations of the Rough Sets Approach; R. Slowinski, J. Stefanowski. Appendix: Glossary of Basic Concepts. Subject Index.
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