Multi-polar t-conorms and uninorms

Abstract Transformation of uninorms defined on the unit interval to the bipolar scale yields bipolar t-conorms and transformation of nullnorms on the unit interval yields bipolar t-norms. We use this relation in the investigation of the structure of bipolar and multi-polar t-norms and t-conorms. We use the same transformation of the unit interval into the bipolar scale in order to obtain bipolar aggregation operators from ordinal sum t-norms and t-conorms. The extensions of these special bipolar aggregation operators generalize both multi-polar t-norms and t-conorms and therefore we call them multi-polar uninorms. Several examples of multi-polar t-conorms and uninorms are also presented.