Constructing 2-uninorms on bounded lattices by using additive generators

TL;DR

This paper introduces two methods for constructing 2-uninorms on bounded lattices using additive generators, enabling the derivation of various related aggregation functions with illustrative examples.

Contribution

The paper proposes novel methods to construct 2-uninorms on bounded lattices via additive generators, expanding the toolkit for aggregation function design.

Findings

Two construction methods for 2-uninorms are developed.

The methods facilitate inducing uninorms, nullnorms, and related functions.

Examples demonstrate the effectiveness of the proposed methods.

Abstract

In this article, we present two methods to construct 2-uninorms on bounded lattices by using additive generators, which are further used for inducing uninorms, nullnorms, uni-nullnorms and null-uninorms, respectively. We also provide some examples for illustrating the constructing methods of 2-uninorms.