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A Construction Method for t-norms on Bounded Lattices

  • Funda KaraçalEmail author
  • Ümit Ertuğrul
  • M. Nesibe Kesicioğlu
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 981)

Abstract

In this paper, a construction method on a bounded lattice from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method has been proven under some special conditions. Giving an example, the constructed t-norm need not be supremum-distributive on any bounded lattice is shown. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented.

Keywords

t-norm Bounded lattice Construction method Subinterval 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsKaradeniz Technical UniversityTrabzonTurkey
  2. 2.Department of MathematicsRecep Tayyip Erdogan UniversityRizeTurkey

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