The concepts and techniques basic to analyzing the uncertainty of human thought processes are of fundamental importance in all decision making for engineering and social sciences. Conventional mathematical and computational tools offer very little to aid the analysis of such uncertainty. An alternative mathematical method based upon the Fuzzy Set Theory has evolved over the past two decades. This is the first book to provide a thorough and integrated introduction to the fundamentals of this subject with many possible applications. In their approach the authors have been guided by the growing importance of having a firm foundation in the definition of fuzzy numbers based on the level of confidence. They have introduced many original concepts, such as that of hybrid numbers, which are both possibilistic and probabilistic in nature. Included are many carefully worked out and illustrative examples, diagrams and tables to enhance the understanding of even the most complex topics. This book should be of interest to professionals in engineering, computer science, management, operations research, law and mathematics; undergraduates and graduates on courses on Fuzzy Subsets Theory and applications.
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