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    Station Eleven

    Emily St. John Mandel 9780385353304

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Studies in Fuzziness and Soft Computing #15: Uncertainty-Based Information: Elements of Generalized Information Theory

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Synopses & Reviews

Publisher Comments:

The book is an overview of the development of basic ideas and mathematical results regarding measures and principles of uncertainty-based information formalized within the framework of classical set theory, probability theory, fuzzy set theory, possibility theory, and the Dempster-Shafer theory of evidence. The book contains many new results, which had until now not been available in a single monograph. The book is very useful for researchers, but it can also be used as a graduate text.

Table of Contents

Introduction: Significance of Uncertainty; Uncertainty and Information.- Uncertainty Formalizations: Classical Sets: Terminology and Notation; Fuzzy Set Theory. Fuzzy Operations. Fuzzy Subsethood. Cylindric Extensions. Types of Fuzzy Sets; Fuzzy Measure Theory; Evidence Theory. Upper and Lower Probabilities; Probability Theory; Possibility Theory; Overview of Uncertainty Theories.- Uncertainty Measures: Nonspecifity. Hartley Function. U-uncertainty. Nonspecifity in Evidence Theory. Nonspecifity of Sets in n-Dimensional Euclidean Space. Generalized Hartley-Like Measures of Nonspecifity ; Conflict. Shannon Entropy. Entropy-Like Measure in Evidence Theory. Conflict in Possibility Theory; Aggregate Uncertainty in Evidence Theory. General Algorithm. for Computing Function AU. Computing Function AU in Possibility Theory; Fuzziness; Summary of Uncertainty Measures.- Principles of Uncertainty: Principle of Minimum Uncertainty; Principle of Maximum Uncertainty; Principle of Uncertainty Invariance. Probability-Possibility Transformations. Approximations of Fuzzy Sets. Approximations in Evidence Theory. Revised Probability-Possibility Transformations; Summary of Uncertainty Principles.- Conclusions: Appraisal of Current Results; Unresolved Problems; Future Directions.

Product Details

ISBN:
9783790824643
Author:
Klir, George J.
Publisher:
Physica-Verlag
Author:
Wierman, Mark J.
Location:
Heidelberg
Subject:
Mathematics-Logic and Philosophy
Subject:
Logic
Subject:
Fuzzy logic
Subject:
Fuzzy-Logik
Subject:
IEEE transactions on fuzzy systems
Subject:
Information Theory
Subject:
Informationstheorie
Subject:
Probability Theory.
Subject:
Uncertainty
Subject:
Unsicherheit
Subject:
Wahrscheinlichkeitstheorie
Subject:
Fuzzy Sets and Systems
Subject:
intern J. of approximate reasoning
Subject:
intern J. of intelligent systems
Subject:
intern J. of uncertainty, fuzziness
Subject:
knowledge-based systems
Subject:
Mathematical Logic and Foundations
Subject:
Artificial Intelligence (incl. Robotics)
Subject:
Operations Research/Decision Theory
Subject:
Operation Research/Decision Theory
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
Engineering
Subject:
Logic, symbolic and mathematical
Subject:
Artificial Intelligence
Subject:
Operations Research
Copyright:
Edition Description:
Softcover reprint of hardcover 2nd ed. 1999
Series:
Studies in Fuzziness and Soft Computing
Series Volume:
15
Publication Date:
20101231
Binding:
TRADE PAPER
Language:
English
Pages:
186
Dimensions:
235 x 155 mm 288 gr

Related Subjects

Engineering » Communications » Information Theory
Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Health and Self-Help » Health and Medicine » Medical Specialties
Health and Self-Help » Health and Medicine » Pharmacology
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Set Theory

Studies in Fuzziness and Soft Computing #15: Uncertainty-Based Information: Elements of Generalized Information Theory New Trade Paper
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