Construction of Fuzzy Implication Functions Based on F-chains

  • Radko MesiarEmail author
  • Anna Kolesárová
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 981)


In this paper, we present a construction method for fuzzy implication functions based on F-chains. Using this method, which comes from the theory of aggregation functions, one can construct from any given fuzzy implication function a new one. We discuss some properties of fuzzy implication functions which are preserved by this construction, and also provide several examples. Moreover, we introduce for fuzzy implication functions ordinal sums based on F-chains in the case of a single fuzzy implication function as well as in the case of n fuzzy implication functions.


Aggregation function Fuzzy implication function F-chain Ordinal sum of fuzzy implication functions 



R. Mesiar kindly acknowledges the support of the grant VEGA 1/0006/19 and A. Kolesárová is grateful for the support of the grant VEGA 1/0614/18.


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Authors and Affiliations

  1. 1.Faculty of Civil EngineeringSlovak University of TechnologyBratislavaSlovakia
  2. 2.Faculty of Chemical and Food TechnologySlovak University of TechnologyBratislavaSlovakia

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