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A New Look on Fuzzy Implication Functions: FNI-implications

  • Isabel Aguiló
  • Jaume Suñer
  • Joan TorrensEmail author
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 610)

Abstract

Fuzzy implication functions are 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 a construction method of implication functions from a t-conorm S (or any disjunctive aggregation function F), a fuzzy negation N and an implication function I is studied. Some general properties are analyzed and many illustrative examples are given. In particular, this method shows how to obtain new implications from old ones with additional properties not satisfied by the initial implication function.

Keywords

Fuzzy implication function t-conorm Disjunctive aggregation function Construction methods Natural negation 

Notes

Acknowledgments

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

  1. 1.Department of Mathematics and Computer ScienceUniversity of the Balearic IslandsPalmaSpain

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