Ebook: Metric Spaces of Fuzzy Sets: Theory and Applications

The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis. This book is distinctly mathematical in its orientation and style. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.