Fuzzy Data Analysis
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Theory and Decision Library B, Mathematical and Statistical Methods
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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