Fuzzy Data Analysis

Fuzzy Data Analysis by Hans Bandemer, Wolfgang Näther.

Fuzzy data such as marks, scores, verbal evaluations, imprecise observations, experts' opinions and grey tone pictures, are quite common. In Fuzzy Data Analysis the authors collect their recent results providing the reader with ideas, approaches and methods for processing such data when looking...

Full description

Saved in:
Bibliographic Details
Main Authors: Bandemer, Hans (Author), Näther, Wolfgang (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1992.
Edition:1st ed. 1992.
Series:Theory and Decision Library B, Mathematical and Statistical Methods ; 20
Springer eBook Collection.
Subjects:
Mathematical logic.
Mathematical analysis.
Analysis (Mathematics).
Statistics .
Operations research.
Decision making.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 2 Basic notions
  • 2.1 Fuzzy sets
  • 2.2 Set-theoretic operations
  • 2.3 Special fuzzy sets
  • 2.4 Extension principle and applications
  • 2.5 Fuzzy relations
  • 2.6 Fuzzy functions
  • 2.7 Measuring the uncertainty
  • 3 Basic notions of data analysis
  • 3.1 Data
  • 3.2 Grouping and transformations
  • 3.3 Similarity and distances
  • 3.4 Cluster analysis
  • 3.5 Evaluation of functional relationships
  • 3.6 Projection techniques
  • 4 Fuzzy data
  • 4.1 Simple fuzzy data
  • 4.2 Complex fuzzy data
  • 4.3 Simple operations and transformations
  • 5 Qualitative analysis
  • 5.1 Fuzzy clustering
  • 5.2 Similarity of fuzzy data
  • 5.3 Fuzzy similarity of fuzzy data
  • 5.4 Shape similarity
  • 6 Quantitative analysis
  • 6.1 Preliminary operations
  • 6.2 Local functional approximation
  • 6.3 Global evaluation
  • 6.4 Global approximation of fuzzy data
  • 6.5 Some fuzzy counterparts
  • 6.6 Minimization of fuzzy functions
  • 7 Evaluation of methods
  • 7.1 Towards a normative theory
  • 7.2 Truth evaluation
  • 7.3 Possibility evaluation
  • 7.4 Probability evaluation
  • 7.5 Fuzzy measure evaluation
  • List of Symbols.

Similar Items