Mathematics

A. Mesiarová-Zemánková, R. Mesiar, Y. Su

2021.8.24Iranian Journal of Fuzzy Systems

DOI: 10.22111/IJFS.2021.6286

tlooto Summary

This work discusses ordinal sums as one of powerful tools in the aggregation theory serving, depending on the context, both as a construction method and as a representation, respectively, and presents several new results, such as the uniqueness of the link between t-norms or t-conorms and related Archimedean components.

Abstract

We discuss ordinal sums as one of powerful tools in the aggregation theory serving, depending on the context, both as a construction method and as a representation, respectively. Up to recalling of several classical results dealing with ordinal sums, in particular dealing, e

Citation format

MESIAROVÁ-ZEMÁNKOVÁ, A.; MESIAR, R.; SU, Y. Ordinal sum constructions for aggregation functions on the real unit interval. Iranian Journal of Fuzzy Systems, 2021.