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E-book
Author Viertl, R. (Reinhard)

Title Statistical methods for fuzzy data / Reinhard Viertl
Published Chichester, West Sussex : Wiley, 2011
Online access available from:
Wiley Online Books    View Resource Record  

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Description 1 online resource (xii, 256 pages) : illustrations
Contents Statistical Methods forFuzzy Data; Contents; Preface; Part I FUZZY INFORMATION; 1 Fuzzy data; 1.1 One-dimensional fuzzy data; 1.2 Vector-valued fuzzy data; 1.3 Fuzziness and variability; 1.4 Fuzziness and errors; 1.5 Problems; 2 Fuzzy numbers and fuzzy vectors; 2.1 Fuzzy numbers and characterizing functions; 2.2 Vectors of fuzzy numbers and fuzzy vectors; 2.3 Triangular norms; 2.4 Problems; 3 Mathematical operations for fuzzy quantities; 3.1 Functions of fuzzy variables; 3.2 Addition of fuzzy numbers; 3.3 Multiplication of fuzzy numbers; 3.4 Mean value of fuzzy numbers
Summary Statistical data are not always precise numbers, or vectors, or categories. Real data are frequently what is called fuzzy. Examples where this fuzziness is obvious are quality of life data, environmental, biological, medical, sociological and economics data. Also the results of measurements can be best described by using fuzzy numbers and fuzzy vectors respectively. Statistical analysis methods have to be adapted for the analysis of fuzzy data. In this book, the foundations of the description of fuzzy data are explained, including methods on how to obtain the characterizing function of fuzzy m
Bibliography Includes bibliographical references (pages 251-252) and index
Notes Print version record
Subject Fuzzy measure theory.
Fuzzy sets.
Mathematical statistics.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Fuzzy measure theory
Fuzzy sets
Mathematical statistics
Form Electronic book
LC no. 2010031105
ISBN 9780470974421
0470974427
9780470974414
0470974419
9780470974568
0470974567
1280767545
9781280767548