Some Remarks on Generalized Hypothetical Syllogism and Yager’s Implications

  • Piotr HelbinEmail author
  • Katarzyna Miś
  • Michał Baczyński
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 981)


In this paper we investigate some properties of generalized hypothetical syllogism (GHS). We focus on the class of Yager’s implications and give some solutions of (GHS) among this family. Furthermore, we show some relations between the class of aggregated fuzzy implications and (GHS).


Aggregation function Fuzzy connectives Fuzzy implication T-norm Generalized hypothetical syllogism Yager’s f- and g-generated implications 



M. Baczyński and K. Miś acknowledge the support of the National Science Centre, Poland, under Grant No. 2015/19/B/ST6/03259.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of Silesia in KatowiceKatowicePoland

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