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Mathematics of Fuzzy Sets Book

Mathematics of Fuzzy Sets
Mathematics of Fuzzy Sets, , Mathematics of Fuzzy Sets has a rating of 3 stars
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  • Mathematics of Fuzzy Sets
  • Written by author Ulrich H hle
  • Published by Springer-Verlag New York, LLC, December 1998
  • Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a refer
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Authors

Authors and Editors
Foreword
Introduction1
1Many-valued logic and fuzzy set theory5
2Powerset operator foundations for poslat fuzzy set theories and topologies91
Introductory notes to Chapter 3117
3Axiomatic foundations of fixed-basis fuzzy topology123
4Categorical foundations of variable-basis fuzzy topology273
5Characterization of L-topologies by L-valued neighborhoods389
6Separation axioms: Extension of mappings and embedding of spaces433
7Separation axioms: Representation theorems, compactness, and compactifications481
8Uniform spaces553
9Extensions of uniform space notions581
10Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity607
11Fundamentals of generalized measure theory633
12On conditioning operators653
13Applications of decomposable measures675
14Fuzzy random variables revisited701
Index711


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