A Survey on Nullnorms on Bounded Lattices


10th Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT) / 16th International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets (IWIFSGN), Warszawa, Poland, 11 - 15 September 2017, vol.641, pp.431-442 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 641
  • Doi Number: 10.1007/978-3-319-66830-7_39
  • City: Warszawa
  • Country: Poland
  • Page Numbers: pp.431-442


Nullnorms are generalizations of triangular norms (t-norms) and triangular conorms (t-conorms) with a zero element to be an arbitrary point from an arbitrary bounded lattice. In this paper, we study nullnorms on bounded lattices. We examine some properties of nullnorms considering the concepts of idempotency, local internality, conjunctivity and disjunctivity on bounded lattices. We investigate relationships between such concepts for nullnorms on bounded lattices and some illustrative examples are added to clearly show connections between these. Moreover, we give two methods to obtain nullnorms on bounded lattices with a zero element by using the given nullnorm and t-norm (t-conorm) with some constraints.