Axiomatic Fuzzy Set Theory and Its Applications

Axiomatic Fuzzy Set Theory and Its Applications

In the age of Machine Intelligence and computerized decision making, we have to deal with subjective imprecision inherently associated with human perception and described in natural language and uncertainty captured in the form of randomness. This treatise develops the fundamentals and methodology o...

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Bibliographic Details
Main Authors: Liu, Xiaodong (Author), Pedrycz, Witold (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Series:Studies in Fuzziness and Soft Computing, 244
Subjects:
Mathematics.
Artificial intelligence.
Algebra.
Applied mathematics.
Engineering mathematics.
Applications of Mathematics.
Artificial Intelligence (incl. Robotics).
Appl.Mathematics/Computational Methods of Engineering.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Required Preliminary Mathematical Knowledge
  • Fundamentals
  • Lattices
  • Methodology and Mathematical Framework of AFS Theory
  • Boolean Matrices and Binary Relations
  • AFS Logic, AFS Structure and Coherence Membership Functions
  • AFS Algebras and Their Representations of Membership Degrees
  • Applications of AFS Theory
  • AFS Fuzzy Rough Sets
  • AFS Topology and Its Applications
  • AFS Formal Concept and AFS Fuzzy Formal Concept Analysis
  • AFS Fuzzy Clustering Analysis
  • AFS Fuzzy Classifiers.

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