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Keywords:
aggregation operations; semi-uninorms; additive generators; semi-t-norms; semi-t-conorms; finite chains
aggregation operations; semi-uninorms; additive generators; semi-t-norms; semi-t-conorms; finite chains
Summary:
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.
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