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Fuzzy Implications

Fuzzy Implications (FIs) generalize the classical implication and play a similar important role in Fuzzy Logic (FL), both in FL_n and FL_w in the sense of Zadeh. Their importance in applications of FL, viz., Approximate Reasoning (AR), Decision Support Systems, Fuzzy Control (FC), etc., is hard to e...

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Main Authors: Baczyński, Michał. (Author, http://id.loc.gov/vocabulary/relators/aut), Jayaram, Balasubramaniam. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Studies in Fuzziness and Soft Computing,
Subjects:
Applied mathematics.
Engineering mathematics.
Artificial intelligence.
Operator theory.
Algebra.
Mathematical and Computational Engineering.
Artificial Intelligence.
Applications of Mathematics.
Operator Theory.
Online Access:https://doi.org/10.1007/978-3-540-69082-5
Table of Contents:
  • An Introduction to Fuzzy Implications
  • An Introduction to Fuzzy Implications
  • I: Analytical Study of Fuzzy Implications
  • Fuzzy Implications from Fuzzy Logic Operations
  • Fuzzy Implications from Generator Functions
  • Intersections between Families of Fuzzy Implications
  • Fuzzy Implications from Uninorms
  • II: Algebraic Study of Fuzzy Implications
  • Algebraic Structures of Fuzzy Implications
  • Fuzzy Implications and Some Functional Equations
  • III: Applicational Study of Fuzzy Implications
  • Fuzzy Implications in Approximate Reasoning.

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