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Fuzzy Set Theory and Advanced Mathematical Applications

✍ Scribed by Etienne Kerre (auth.), Da Ruan (eds.)

Publisher
Springer US
Year
1995
Tongue
English
Leaves
331
Series
International Series in Intelligent Technologies 4
Edition
1
Category
Library
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✦ Synopsis

Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control. The book supplies a readable, practical toolkit with a clear introduction to fuzzy set theory and its evolution in mathematics and new results on foundations of fuzzy set theory, decision making and systems science, and fuzzy control and neural systems. Each chapter is self-contained, providing up-to-date coverage of its subject.
Audience: An important reference work for university students, and researchers and engineers working in both industrial and academic settings.

✦ Table of Contents

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
On the Evolution of the Mathematics of Fuzziness....Pages 3-34
Closedness and Upper Semi-Continuity of Fuzzy Multivalued Mappings....Pages 35-66
An Order-Theorethic Approach to Solving Sup-T Equations....Pages 67-87
Towards a Possibilistic Logic....Pages 89-133
Front Matter....Pages 135-135
Fuzzy Dynamic Programming: A New Quality Through Fuzzy Sets....Pages 137-154
On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers....Pages 155-173
Information Aggregation: Ethical and Computational Issues....Pages 175-200
On the Notion State in Multistate Structure Function Theory....Pages 201-221
Front Matter....Pages 223-223
Fuzzy Logic and Neural Systems....Pages 225-244
Some Mathematical Problems of Fuzzy Controllers....Pages 245-265
Keep Fuzzy Controllers Fuzzy....Pages 267-289
Comparative Study of Fuzzy Control, Neural Network Control and Neuro-Fuzzy Control....Pages 291-322
Back Matter....Pages 323-324

✦ Subjects

Mathematical Logic and Foundations;Statistical Physics, Dynamical Systems and Complexity;Operation Research/Decision Theory;Artificial Intelligence (incl. Robotics)

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