Random sets and random fuzzy sets as ill-perceived random variables

摘要: Several books written by prominent authors during the last 40 years have covered different aspects of random sets rather independently of one another. In most cases, random sets are considered as precise representations of random complex entities whose outcomes were naturally described by sets of elements. Independently, the theory of belief functions uses a similar formal setting to describe an extension of subjective probabilities that accommodates incomplete information. Besides, the recent literature contains many papers about fuzzy random variables, that often adopt the first point of view. This book is intended to focus on the use of random sets and fuzzy random variables as natural representations of ill-observed variables or partially known conditional probabilities. The content of this book is based on several joint chapters written by the authors, enlarged and completed with examples and exercises. It …