Ordinal sums of representable uninorms
Andrea Mesiarova-Zemankova
TL;DR
This paper explores the conditions under which a uninorm can be expressed as an ordinal sum of representable uninorms, providing a deeper understanding of their structural properties.
Contribution
It establishes necessary and sufficient conditions for representing a uninorm as an ordinal sum of proper representable uninorms.
Findings
Characterization of when a uninorm is an ordinal sum of representable uninorms
Necessary and sufficient conditions for such decompositions
Enhanced understanding of the structure of uninorms
Abstract
We investigate properties of an ordinal sum of uninorms introduced in [8] in the case that the summands are proper representable uninorms. We show sufficient and necessary conditions for a uninorm to be an ordinal sum of representable uninorms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.