Kybernetika 60 no. 6, 740-753, 2024

Additive generators of discrete semi-uninorms

Ya-Ming Wang, Hang Zhan and Yuan-Yuan ZhaoDOI: 10.14736/kyb-2024-6-0740

Abstract:

This work explores commutative semi-uninorms on finite chains by means of strictly increasing unary functions and the usual addition. In this paper, there are three families of additively generated commutative semi-uninorms. We not only study the structures and properties of semi-uninorms in each family but also show the relationship among these three families. In addition, this work provides the characterizations of uninorms in $\mathcal{U}_{\min}$ and $\mathcal{U}_{\max}$ that are generated by additive generators.

Keywords:

aggregation operations, semi-uninorms, additive generators, semi-t-norms, semi-t-conorms, finite chains

Classification:

46F10, 62E86

paper.pdf

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