Some properties of orders generated by uninorm and 2-uninorm

Year 2017, Volume: 5 Issue: 1, 278 - 286, 01.01.2017

Umit Ertugrul

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.

Keywords

Uninorm, 2-uninorm, bounded lattice

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