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A New Look on the Ordinal Sum of Fuzzy Implication Functions

  • Sebastia MassanetEmail author
  • Juan Vicente Riera
  • Joan Torrens
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 610)

Abstract

Fuzzy implication functions are logical connectives commonly used to model fuzzy conditional and consequently they are essential in fuzzy logic and approximate reasoning. From the theoretical point of view, the study of how to construct new implication functions from old ones is one of the most important topics in this field. In this paper new ordinal sum construction methods of implication functions based on fuzzy negations N are presented. Some general properties are analysed and particular cases when the considered fuzzy negation is the classical one or any strong negation are highlighted.

Keywords

Ordinal sum Fuzzy implication function Fuzzy negation t-norm t-conorm \((S{, } N)\)-implication 

Notes

Acknowledgement

This paper has been partially supported by the Spanish Grant TIN2013-42795-P.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Sebastia Massanet
    • 1
    Email author
  • Juan Vicente Riera
    • 1
  • Joan Torrens
    • 1
  1. 1.Dept. Mathematics and Computer ScienceUniversity of the Balearic IslandsPalmaSpain

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