Work

A New Class of Interval-Valued Discrete Sugeno-like Integrals

Year: 2025

Type: article

Abstract: Discrete Sugeno integrals form a significant family of aggregation functions. Several variants of these integrals have been proposed, most of which replace the minimum operation with alternative operations, such as product, overlap functions, and t-norms. Notably, the associativity of t-norms in discrete Sugeno integrals has no significant consequences, leading us to relinquish this property and introduce the concept of partial t-norms. Although interval-valued versions of the discrete Sugeno integral or its variants have been limited, this paper presents a novel approach based on interval-valued partial t-norms, admissible orders, and interval-valued fuzzy measures. We provide rigorous proofs of the properties of this operator class.

Source: Axioms

DOI: 10.3390/axioms14040294

Authors: Nícolas Jacobino, Nicolás Zumelzu, Claudio Callejas, Eduardo Palmeira, Benjamín Bedregal

Institutions: Universidade Federal do Rio Grande do Norte, Universidad de Magallanes, Universidade Federal Rural do Semi-Árido, Universidade Estadual de Santa Cruz

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: $2,896

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico