Some properties of orders generated by uninorm and 2-uninorm

Abstract

In this paper, the order definition obtained from uninorm has been reorganized and some features have been examined in this way. Order-weakest uninorm and order-strongest uninorm was determined. Using the notions of order-weakest uninorm and order-strongest uninorm, order-weakest 2-uninorm and order-strongest 2-uninorm was also determined. A way to obtain partially ordered relation via orders obtained from uninorms on subinterval of bounded lattice is given. The relation between the order obtained 2-uninorm and this new construction method is investigated.