AN EXTENSION METHOD FOR T-NORMS ON SUBINTERVALS TO T-NORMS ON BOUNDED LATTICES


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

KYBERNETIKA, cilt.55, sa.6, ss.976-993, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55 Konu: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.14736/kyb-2019-6-0976
  • Dergi Adı: KYBERNETIKA
  • Sayfa Sayıları: ss.976-993

Özet

In this paper, a construction method on a bounded lattice obtained 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 is investigated under some special conditions. It is shown by an example that the extended t-norm on L from the t-norm on a subinterval of L need not be a supremum-distributive t-norm. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented.