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A generalization of the Choquet integral defined in terms of the Mobius transform
(IEEE, 2020)
info:eu-repo/semantics/article,
In this article, we propose a generalization of the Choquet integral, starting fromits definition in terms of the Mobius transform. We modify the product on R considered in the Lovasz extension form of the Choquet integral ...
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 ...
Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
(Elsevier, 2019)
info:eu-repo/semantics/article,
In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent ...
Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
(Springer, 2018)
info:eu-repo/semantics/conferenceObject,
A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss ...
Curve-based monotonicity: a generalization of directional monotonicity
(Taylor & Francis, 2019)
info:eu-repo/semantics/article,
In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional ...
Construction of capacities from overlap indexes
(Springer, 2017)
info:eu-repo/semantics/bookPart,
In this chapter, we show how the concepts of overlap function and overlap index can be used to define fuzzy measures which depend on the specific data of each considered problem.
Description and properties of curve-based monotone functions
(Springer, 2019)
info:eu-repo/semantics/conferenceObject,
Curve-based monotonicity is one of the lately introduced relaxations of monotonicity. As directional monotonicity regards monotonicity along fixed rays, which are given by real vectors, curve-based monotonicity studies the ...
Local properties of strengthened ordered directional and other forms of monotonicity
(Springer, 2019)
info:eu-repo/semantics/conferenceObject,
In this study we discuss some of the recent generalized forms of monotonicity, introduced in the attempt of relaxing the monotonicity condition of aggregation
functions. Specifically, we deal with weak, directional, ordered ...
Generalized decomposition integral
(Elsevier, 2020)
info:eu-repo/semantics/article,
In this paper we propose two different generalizations of the decomposition integral introduced by Even and Lehrer. We modify the product operator merging a given capacity and the decomposition coefficients by some more ...
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 ...