A New Class of Interval-Valued Discrete Sugeno-like Integrals
Bedregal, Benjamin
- 1Universidade Federal do Rio Grande do Norte
- 2
- 3Fed Rural Univ Semi Arid
- 4Universidade Estadual de Santa Cruz
Journal
axioms
ISSN
2075-1680
Open Access
gold
Volume
14
Start page
1
End page
17
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.
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