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, Çek Cumhuriyeti, 1 - 04 Temmuz 2019, cilt.981, ss.205-211 identifier identifier

  • Cilt numarası: 981
  • Doi Numarası: 10.1007/978-3-030-19494-9_19
  • Basıldığı Şehir: Olomouc
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.205-211

Özet

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.