On the F-partial Order and Equivalence Classes of Nullnorms


9th International Summer School on Aggregation Functions (AGOP), Skovde, İsveç, 19 - 22 Haziran 2017, cilt.581, ss.154-161 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 581
  • Doi Numarası: 10.1007/978-3-319-59306-7_16
  • Basıldığı Şehir: Skovde
  • Basıldığı Ülke: İsveç
  • Sayfa Sayıları: ss.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.