Work

Non-commutative ordinal sum construction

Year: 2025

Type: article

Abstract: The construction methods for associative functions are discussed. The focus is on summand-based construction methods as an extension of the ordinal sum and the z -ordinal sum. While the ordinal sum and the z -ordinal sum can be assumed to be commutative summand-based construction methods, since they construct commutative functions from commutative summands, the non-commutative ordinal sum, which constructs non-commutative functions from commutative summands is introduced. The decomposition of a semi-t-operator via a non-commutative ordinal sum is also shown.

Source: Fuzzy Sets and Systems

DOI: 10.1016/j.fss.2025.109308

Author: Andrea Mesiarová-Zemánková

Institutions: University of Ostrava, Slovak Academy of Sciences, Mathematical Institute of the Slovak Academy of Sciences

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,550

Funders: Ministerstvo Školství, Mládeže a Tělovýchovy, Agentúra na Podporu Výskumu a Vývoja