A Construction Method for t-norms on Bounded Lattices

KARAÇAL F., ERTUĞRUL Ü., Kesicioglu M. N.

10th International Summer School on Aggregation Functions (AGOP), Olomouc, Czech Republic, 1 - 04 July 2019, vol.981, pp.205-211 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 981
  • Doi Number: 10.1007/978-3-030-19494-9_19
  • City: Olomouc
  • Country: Czech Republic
  • Page Numbers: pp.205-211
  • Recep Tayyip Erdoğan University Affiliated: No

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.