A characterization of uninorms on bounded lattices by means of triangular norms and triangular conorms


ÇAYLI G. D.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.47, ss.772-793, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47 Konu: 8
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/03081079.2018.1513929
  • Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Sayfa Sayıları: ss.772-793

Özet

Uninorms are generalizations of triangular norms and triangular conorms leaving the freedom for the neutral element to be an arbitrary element from a bounded lattice. In this paper, we study uninorms on bounded lattices and investigate their main characteristics. We also introduce the new construction methods for uninorms on bounded lattices with a neutral element based on the fact that the presence of triangular norms and triangular conorms. Furthermore, we assess and exemplify the differences between our constructions and the present approaches.