Work

On Aggregations of Algebraic Objects in Data Modeling

Year: 2026

Type: article

Abstract: Aggregation operators are mathematical tools that, under certain constraints in the form of properties imposed on those mathematical functions, provide a representative value for the whole set of input values or structures. The question of when and what properties of input structures, with particular emphasis on fuzzy groups, and in particular Ω-groups, are preserved during the aggregation process is the main focus of this paper. This paper proposes a new technique for the aggregation of special fuzzy groups in a lattice-valued framework based on the aggregation of lattice-valued weak equivalence relations. Necessary and sufficient conditions for aggregation operators on complete lattices to aggregate Ω-groups is the main result.

Source: Mathematics

DOI: 10.3390/math14030570

Authors: Ivana Štajner-Papuga, Andreja Tepavčević

Institutions: University of Novi Sad, Serbian Academy of Sciences and Arts, Mathematical Institute of the Serbian Academy of Sciences and Arts

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Science Fund of the Republic of Serbia