Triangular Norms on Partially Ordered Sets
Abstract
ABSTRACT In this study, we extend the additively generated triangular norms from the framework of the unit interval to that of partially ordered sets. We present several conditions under which this formula yields a t‐norm, where are partially ordered sets, and are monotone functions and is a t‐norm/t‐conorm on . The partially ordered semigroups induced by are order‐preserving/order‐reversing homomorphic to semigroup deformations of the semigroup induced by .
Fields of Study & Subjects
Advanced Algebra and Logic
Fuzzy and Soft Set Theory
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Mathematical logic quarterly
- Volume
- 72
- Issue
- 2
- Publication date
- 10 March 2026
- Language
- EN