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
CONTENT
1 On the Evolution of the Mathematics of Fuzziness -- 2 Closedness and Upper Semi-Continuity of Fuzzy Multivalued Mappings -- 3 An Order-Theorethic Approach to Solving Sup-T Equations -- 4 Towards a Possibilistic Logic -- 5 Fuzzy Dynamic Programming: a New Quality Through Fuzzy Sets -- 6 On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers -- 7 Information Aggregation: Ethical and Computational Issues -- 8 On the Notion State in Multistate Structure Function Theory -- 9 Fuzzy Logic And Neural Systems -- 10 Some Mathematical Problems of Fuzzy Controllers -- 11 Keep Fuzzy Controllers Fuzzy -- 12 Comparative Study of Fuzzy Control, Neural Network Control And Neurofuzzy Control
Mathematics
Operations research
Decision making
Artificial intelligence
Mathematical logic
Statistical physics
Dynamical systems
Mathematics
Mathematical Logic and Foundations
Statistical Physics Dynamical Systems and Complexity
