Geodesic
Additive generators of discrete semi-uninorms
Kybernetika, Tome 60 (2024) no. 6, pp. 740-753 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2024-6-0740
Classification : 46F10, 62E86
Keywords: aggregation operations; semi-uninorms; additive generators; semi-t-norms; semi-t-conorms; finite chains 
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     title = {Additive generators of discrete semi-uninorms},
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     pages = {740--753},
     year = {2024},
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     number = {6},
     doi = {10.14736/kyb-2024-6-0740},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-6-0740/}
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Wang, Ya-Ming; Zhan, Hang; Zhao, Yuan-Yuan. Additive generators of discrete semi-uninorms. Kybernetika, Tome 60 (2024) no. 6, pp. 740-753. doi: 10.14736/kyb-2024-6-0740

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