Orders of continuous cancellative triangular subnorms

TL;DR

This paper investigates the order relations of continuous cancellative t-subnorms, providing conditions for their comparability and characterizing the growth of additive generators to facilitate their comparison.

Contribution

It offers new necessary and sufficient conditions for comparing continuous cancellative t-subnorms and characterizes the growth of their additive generators.

Findings

Established criteria for comparability of continuous cancellative t-subnorms

Characterized growth and boundedness of additive generators

Provided methods for comparing these t-subnorms

Abstract

The order relations of continuous cancellative t-subnorms are discussed. First, we present some necessary and sufficient conditions along with several interesting sufficient criteria for the comparability of continuous cancellative t-subnorms. Then we characterize the growth and boundedness of additive generators, which are used for the comparison of continuous cancellative t-subnorms.