Some Remarks on an Order Induced by Uninorms
Recently an order induced by t-norms, uninorms and nullnorms have been investigated. This paper is mainly devoted to defining and investigating the set of incomparable elements with respect to the order induced by a uninorm. Also, by defining such an order, an equivalence relation on the class of uninorms is defined and this equivalence is deeply investigated.
- 1.Aşıcı, E.: An order induced by nullnorms and its properties. Fuzzy Sets Syst. (in press). doi: 10.1016/j.fss.2016.12.004
- 8.De Baets, B., Mesiar, R.: Triangular norms on the real unit square. In: Proceedings of the 1999 EUSFLAT-ESTYLF Joint Conference, Palma de Mallorca, Spain, pp. 351–354 (1999)Google Scholar
- 10.Çaylı, G.D., KaraÇal, F.: Construction of uninorms on bounded lattices. Kybernetika 53, 394–417 (2017)Google Scholar
- 11.Çaylı, G.D.: On a new class of t-norms and t-conorms on bounded lattices. Fuzzy Sets Syst. (in press) doi: 10.1016/j.fss.2017.07.015