Fuzzy Sets, Uncertainty And Information

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The concept of uncertainty and its relationship to the increasingly important concept of information and complexity need to be brought under a new mathematical formulation. This book is intended to make an understanding of this mathematical formalism accessible to students and professionals in a broad range of disciplines and covers the various issues of uncertainty, information and complexity from a broad perspective based on formalism of fuzzy set theory. No prior knowledge of fuzzy set theory or information theory is required; the reader is however assumed to be familiar with basic notions of set theory, logic and probability theory, though the fundamentals of these subject areas are briefly overviewed in the book. The book is suitable as a text at the advanced under-graduate/postgraduate level that covers uncertainty, information and complexity from a broad perspective in mathematics courses in artificial intelligence, engineering and computer science Table Of Contents Preface. Acknowledgements. Crist Sets and Fuzzy Sets Operations on Fuzzy Sets. Fuzzy Relations. Fuzzy Measures. Uncertainty and Information. Applica-tions. Appendix A Uniqueness of Uncertainty Measures Appendix B Glossary of Symbols References. Name Index. Subject Index.