An empirical study of statistical properties of Choquet and Sugeno integrals [PDF]
This paper investigates the statistical properties of the Choquet and Sugeno integrals, used as multiattribute models. The investigation is done on an empirical basis, and focuses on two topics: the distribution of the output of these integrals when the ...
Eric Raufaste, Michel Grabisch
core
Pseudo-polynomial functions over finite distributive lattices
, 2011 In this paper we consider an aggregation model f: X1 x ... x Xn --> Y for arbitrary sets X1, ..., Xn and a finite distributive lattice Y, factorizable as f(x1, ..., xn) = p(u1(x1), ..., un(xn)), where p is an n-variable lattice polynomial function over Y,
Couceiro, Miguel, Waldhauser, Tamás
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General Fritz Carlson's Type Inequality for Sugeno Integrals
Journal of Inequalities and Applications, 2011 Fritz Carlson's type inequality for fuzzy integrals is studied in a rather general form. The main results of this paper generalize some previous results.
Wang Xiaojing, Bai Chuanzhi
doaj
A generalization of Goodstein's theorem: interpolation by polynomial functions of distributive lattices [PDF]
, 2011 We consider the problem of interpolating functions partially defined over a distributive lattice, by means of lattice polynomial functions. Goodstein's theorem solves a particular instance of this interpolation problem on a distributive lattice L with ...
Couceiro, Miguel, Waldhauser, Tamás
core
New horizon in fuzzy distributions: statistical distributions in continuous domains generated by Choquet integral. [PDF]
Soft comput, 2023 Mehri-Dehnavi H, Agahi H, Mesiar R.
europepmc +1 more source
A generalized multi-skill aggregation method for cognitive diagnosis. [PDF]
World Wide Web, 2023 Zhang S +5 more
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An Ordinal Approach to Risk Measurement [PDF]
In this short note, we aim at a qualitative framework for modeling multivariate risk. To this extent, we consider completely distributive lattices as underlying universes, and make use of lattice functions to formalize the notion of risk measure. Several
Marta Cardin, Miguel Couceiro
core
Internet of Medical Things-Based COVID-19 Detection in CT Images Fused with Fuzzy Ensemble and Transfer Learning Models. [PDF]
New Gener Comput, 2022 Mahanty C, Kumar R, Patro SGK.
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Aggregation on bipolar scales [PDF]
The paper addresses the problem of extending aggregation operators typically defined on $[0,1]$ to the symmetric interval $[-1,1]$, where the ``0'' value plays a particular role (neutral value).
Michel Grabisch
core
CovidConvLSTM: A fuzzy ensemble model for COVID-19 detection from chest X-rays. [PDF]
Expert Syst Appl, 2022 Dey S +4 more
europepmc +1 more source