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The evolution of the notion of overlap functions
(Springer, 2021)
info:eu-repo/semantics/bookPart,
In this chapter we make a review of the notion of overlap function. Although originally developed in order to determine up to what extent a given element belongs to two sets, overlap functions have widely developed in the ...
Degree of totalness: how to choose the best admissible permutation for vector fuzzy integration
(Elsevier, 2023)
Artículo / Artikulua,
The use of aggregation operators that require ordering of the data brings a problem when the structures to be aggregated are multi-valued, since there may be several admissible orders. To addressing this problem, the concept ...
Pre-aggregation functions: construction and an application
(IEEE, 2015)
Artículo / Artikulua,
In this work we introduce the notion of preaggregation
function. Such a function satisfies the same boundary
conditions as an aggregation function, but, instead of requiring
monotonicity, only monotonicity along some ...
On construction methods of (interval-valued) general grouping functions
(Springer, 2022)
Contribución a congreso / Biltzarrerako ekarpena,
Recently, several theoretical and applied studies on grouping functions and overlap functions appeared in the literature, mainly because of their flexibility when comparing them with the popular aggregation operators ...
Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions
(Elsevier, 2021)
info:eu-repo/semantics/article,
Overlap functions are a class of aggregation functions that measure the overlapping degree between two values. They have been successfully applied as a fuzzy conjunction operation in several problems in which associativity ...
d-Choquet integrals: Choquet integrals based on dissimilarities
(Elsevier, 2020)
info:eu-repo/semantics/article,
The paper introduces a new class of functions from [0,1]n to [0,n] called d-Choquet integrals. These functions are a generalization of the 'standard' Choquet integral obtained by replacing the difference in the definition ...
On some classes of directionally monotone functions
(Elsevier, 2020)
info:eu-repo/semantics/article,
In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also ...