Ebook Info
- Published: 1994
- Number of pages:
- Format: PDF
- File Size: 10.78 MB
- Authors: Phil Diamond
Description
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, mainly on the base space ℜn. 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, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐Modern fuzzy mathematics seems to become a standard tool of modeling systems with nonprobabilistic uncertainties. Despite an abundance of valuable journal papers on this subject, sometimes it is not so easy to find certain facts; even definitions of some concepts may vary. The authors of “Metric Spaces of Fuzzy Sets : Theory and Applications”, leading experts in this field, have done excellent work, gathering and systematizing basic notions of fuzzy calculus. This book is a must for everyone, whose research includes working with such objects as fuzzy numbers, time-dependent fuzzy processes, fuzzy metric spaces, fuzzy derivatives and integrals and so on. For the time being, this book is a sole source of information on these topics.
Keywords
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Metric Spaces of Fuzzy Sets: Theory and Applications 1994 PDF Free Download
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