The characterization of general pseudo-homogeneous t-norms

TL;DR

This paper introduces and characterizes general pseudo-homogeneous t-norms, providing a comprehensive understanding of their properties and complete classification within the framework of fuzzy logic operations.

Contribution

It defines the concept of general pseudo-homogeneous t-norms and offers a complete characterization, advancing the theoretical understanding of these mathematical operators.

Findings

Properties of general pseudo-homogeneous t-norms are established.

A complete classification of all such t-norms is provided.

Theoretical framework enhances understanding of fuzzy logic operations.

Abstract

This article first introduces the concept of a general pseudo-homogeneous triangular norm. It then gives some properties of general pseudo-homogeneous triangular norms. Finally, it characterizes all general pseudo-homogeneous triangular norms completely.