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Since its inception by Professor Lotfi Zadeh about 18 years ago, the theory of fuzzy sets has evolved in many directions, and is finding applications in a wide variety of fields in which the phenomena under study are too complex or too ill-defined to be analyzed by conventional techniques. Thus, by providing a basis for a systematic approach to approximate reasoning and inexact inference, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, engineering, law, medicine, decision-analysis, information retrieval, and artificial intelli gence. This volume consists of 24 selected papers invited by the editor, Professor Paul P. Wang. These papers cover the theory and applications of fuzzy sets, almost equal in number. We are very fortunate to have Professor A. Kaufmann to contribute an overview paper of the advances in fuzzy sets. One special feature of this volume is the strong participation of Chinese researchers in this area. The fact is that Chinese mathematicians, scientists and engineers have made important contributions to the theory and applications of fuzzy sets through the past decade. However, not until the visit of Professor A. Kaufmann to China in 1974 and again in 1980, did the Western World become fully aware of the important work of Chinese researchers. Now, Professor Paul Wang has initiated the effort to document these important contributions in this volume to expose them to the western researchers.
List of contents
Fuzzy Set Theory: Past, Present and Future.- Advances in Fuzzy Sets - An Overview.- A Survey of Some Aspects on the Research Work of Fuzzy Topology in China.- Some Properties of Fuzzy Convex Sets.- "Non-standard" Concepts in Fuzzy Topology.- The Spaces of Fuzzy Probability and Possibility.- An Algebraic System Generalizing the Fuzzy Subsets of a Set.- From the Fuzzy Statistics to the Falling Random Subsets.- On Fuzzy Relations and Partitions.- Fuzzy Set Structure with Strong Implication.- Inference Regions for Fuzzy Propositions.- Fuzzy Tree Grammar and Fuzzy Forest Grammar.- Fuzzy Production Rules: A Learning Methodology.- Decision Support with Fuzzy Production Systems.- Imprecision in Computer Vision.- Fuzzy Programming: Why and How? - Some Hints and Examples.- A Fuzzy, Heuristic, Interactive Approach to the Optimal Network Problem.- Application of Fuzzy Set Theory to Economics.- Use of Fuzzy Logic for Implementing Rule-Based Control of Industrial Processes.- A New Approach to Design of Fuzzy Controller.- Advanced Results on Applications of Fuzzy Switching Functions to Hazard Detection.- The Application of Fuzzy Set Theory to a Risk Analysis Model of Computer Security.- Fuzzy Models of Human Problem Solving.- A Concept of A Fuzzy Ideal for Multicriteria Conflict Resolution.- Appendix I: Fuzzy Set Research in People's Republic of China.- Author Index.
