Applied fuzzy arithmetic : an introduction with engineering applications /

Applied fuzzy arithmetic : an introduction with engineering applications /

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Bibliographic Details
Author / Creator:Hanss, Michael.
Imprint:Berlin ; New York : Springer-Verlag, c2005.
Description:1 online resource (xiii, 256 p.) : ill.
Language:English
Subject:
Fuzzy arithmetic.
Fuzzy logic.
Fuzzy arithmetic.
Fuzzy logic.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8875486
Hidden Bibliographic Details
ISBN:3540242015 (alk. paper)
9783540242017 (alk. paper)
9783540273172
3540273174
6611329714
9786611329716
Notes:Includes bibliographical references (p. [245]-252) and index.
Description based on print version record.
Other form:Print version: Hanss, Michael. Applied fuzzy arithmetic. Berlin ; New York : Springer-Verlag, c2005 3540242015 9783540242017
Table of Contents:
  • Part I. Introduction to Fuzzy Arithmetic
  • 1. The Theory of Fuzzy Sets
  • 1.1. Classical Sets
  • 1.1.1. Terminology and Notation
  • 1.1.2. Basic Definitions
  • 1.1.3. Operations for Domain-Compatible Classical Sets and Relations
  • 1.1.4. Further Operations for Classical Relations
  • 1.2. Fuzzy Sets
  • 1.2.1. Terminology and Notation
  • 1.2.2. Basic Definitions
  • 1.2.3. Operations for Domain-Compatible Fuzzy Sets and Relations
  • 1.2.4. Further Operations for Fuzzy Relations
  • 1.3. The Extension Principle
  • 2. Elementary Fuzzy Arithmetic
  • 2.1. Fuzzy Numbers and Fuzzy Vectors
  • 2.1.1. Fuzzy Numbers
  • 2.1.2. Fuzzy Vectors
  • 2.2. Elementary Fuzzy Arithmetical Operations
  • 2.2.1. Elementary Operations on L-R Fuzzy Numbers
  • 2.2.2. Elementary Operations on Discretized Fuzzy Numbers
  • 2.2.3. Elementary Operations on Decomposed Fuzzy Numbers
  • 3. Standard Fuzzy Arithmetic
  • 3.1. Definition of Standard Fuzzy Arithmetic
  • 3.2. Application of Standard Fuzzy Arithmetic
  • 3.3. Drawbacks and Limitations of Standard Fuzzy Arithmetic
  • 4. Advanced Fuzzy Arithmetic - The Transformation Method
  • 4.1. Fuzzy-Parameterized Models
  • 4.2. General and Reduced Transformation Method
  • 4.2.1. Simulation of Fuzzy-Parameterized Systems
  • 4.2.2. Analysis of Fuzzy-Parameterized Systems
  • 4.3. Extended Transformation Method
  • 4.3.1. Simulation of Fuzzy-Parameterized Systems
  • 4.3.2. Analysis of Fuzzy-Parameterized Systems
  • 4.3.3. Classification Criterion
  • 4.4. Efficient Implementation of the Transformation Method
  • 4.4.1. Multi-Dimensional Array Structure
  • 4.4.2. Thinning of the Decomposition Pattern
  • 4.4.3. Piecewise Multilinear Sparse-Grid Interpolation
  • 5. Additions to Fuzzy Arithmetic
  • 5.1. Uncertainty Processing with Fuzzy Arithmetic
  • 5.2. Inverse Fuzzy Arithmetic
  • 5.3. Defuzzification of Fuzzy Numbers
  • 5.4. Measures for Fuzzy Numbers
  • 5.4.1. Imprecision of Fuzzy Numbers
  • 5.4.2. Eccentricity of Fuzzy Numbers
  • Part II. Applications in the Engineering Sciences
  • 6. Mechanical Engineering
  • 6.1. Simulation, Analysis, and Identification of Structural Joint Connections
  • 6.1.1. Simulation and Analysis of a Bolted Lap Joint under Tangential Friction Load
  • 6.1.2. Simulation and Analysis of a Bolted Joint Connection under Axial Load
  • 6.1.3. Identification of the Uncertain Model Parameters of a Bolted Joint
  • 6.2. Fuzzy Sensitivity Analysis of an Orthotropic Plate
  • 6.3. Frequency Response Function of a Clamped Plate
  • 6.4. Simulation and Analysis of the Vibrations of an Engine Hood
  • 7. Geotechnical Engineering
  • 7.1. Contaminant Flow in Thin Layers
  • 7.2. Identification of the Uncertain Hydraulic Conductivities in Transversely Isotropic Porous Media
  • 8. Biomedical Engineering
  • 8.1. Simulation and Analysis of the Human Glucose Metabolism
  • 8.2. Enhanced Parameter Identification for the Model of the Human Glucose Metabolism
  • 9. Control Engineering
  • References
  • Index

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