On the F-partial Order and Equivalence Classes of Nullnorms


9th International Summer School on Aggregation Functions (AGOP), Skovde, Sweden, 19 - 22 June 2017, vol.581, pp.154-161 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 581
  • Doi Number: 10.1007/978-3-319-59306-7_16
  • City: Skovde
  • Country: Sweden
  • Page Numbers: pp.154-161


In this paper, we define the set I-F((x)), denoting the set of all incomparable elements with arbitrary but fixed x is an element of (0, 1) according to F-partial order and this set is deeply investigated. Then, an equivalence relation on the class of nullnorms induced by a F-partial order is defined and discussed. Finally, we give an answer to a recently posed open problem.