Metric Spaces of Fuzzy Sets: Theory and Applications

Front Cover
World Scientific, 1994 - Mathematics - 178 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Preface
1
Spaces of Subsets of
7
Compact Convex Subsets of 9t
13
Set Valued Mappings
21
Crisp Generalizations
33
Metrics on n
51
Compactness Criteria
71
Generalizations
81
Fuzzy Random Variables
109
Computational Methods
115
Fuzzy Differential Equations
129
Optimization Under Uncertainty
137
Fuzzy Iterations and Image Processing
143
Appendix on Metric Spaces
155
Bibliography
161
Symbols and Abbreviations
171

Fuzzy Set Valued Mappings of Real Variables
91

Other editions - View all

Common terms and phrases

Popular passages

Page 163 - P. Diamond and P. Kloeden, Metric spaces of fuzzy sets, Fuzzy Sets and Systems 35 (1990) 241-249.

References to this book

All Book Search results »

Bibliographic information