In: Tatra Mountains Mathematical Publications, vol. 74, no. 2
Peter Viceník
Details:
Year, pages: 2019, 159 - 176
Keywords:
additive generator, aggregation function, associativity, discrete additive generator, t-conorm.
Article type: mathematics
Document type: Scientific article *.pdf
About article:
The class of strictly increasing additive generators of the second kind is defined and analyzed. Necessary and sufficient conditions for a binary operation generated by a strictly increasing additive generator of the second kind to be associative are introduced. The relation between the class of strictly increasing additive generators of the second kind of associative binary operations and the class of discrete upper additive generators of associative binary operations is revealed.
How to cite:
ISO 690:
Viceník, P. 2019. Strictly increasing additive generators of the second kind of associative binary operations. In Tatra Mountains Mathematical Publications, vol. 74, no.2, pp. 159-176. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0026
APA:
Viceník, P. (2019). Strictly increasing additive generators of the second kind of associative binary operations. Tatra Mountains Mathematical Publications, 74(2), 159-176. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0026
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 25. 10. 2019
Rights:
Licensed under the Creative Commons Attribution-NC-ND4.0 International Public License.