Advances in Fuzzy Implication Functions

Fuzzy implication functions are one of the main operations in fuzzy logic. They generalize the classical implication, which takes values in the set {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. These functions are not only fundamental for fuzzy logic systems, fuzzy...

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Corporate Author: SpringerLink (Online service)
Other Authors: Baczyński, Michał. (Editor, http://id.loc.gov/vocabulary/relators/edt), Beliakov, Gleb. (Editor, http://id.loc.gov/vocabulary/relators/edt), Bustince Sola, Humberto. (Editor, http://id.loc.gov/vocabulary/relators/edt), Pradera, Ana. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Studies in Fuzziness and Soft Computing, 300
Subjects:
Online Access:https://doi.org/10.1007/978-3-642-35677-3
Table of Contents:
  • An Overview of Construction Methods of Fuzzy Implications
  • Fuzzy Implications: Classification and a New Class
  • A Survey of the Distributivity of Implications over Continuous T-norms and the Simultaneous Satisfaction of the Contrapositive Symmetry
  • Implication Functions in Interval-valued Fuzzy Set Theory
  • (S;N)-Implications on Bounded Lattices
  • Implication Functions Generated Using Functions of one Variable
  • Compositions of Fuzzy Implications
  • Fuzzy Implications: Some Recently Solved Problems.