Title
Characterization of decomposition integrals extending Lebesgue integral
Abstract
Decomposition integrals provide a framework for non-linear integrals that include Choquet, Shilkret, the PAN, and the concave integrals. All of these integrals found their applications in mathematics, notably in decision-making and economy. An important class of decomposition integrals is the class of integrals extending Lebesgue integral in the sense that the decomposition integral with respect to classical measures coincides with Lebesgue integral. In this paper, we consider finite spaces X only and discuss some necessary and sufficient conditions for this property. Also, some construction methods are given and exemplified.
Year
DOI
Venue
2022
10.1016/j.fss.2021.04.015
Fuzzy Sets and Systems
Keywords
DocType
Volume
Decomposition integral,Lebesgue integral,Extension
Journal
430
ISSN
Citations 
PageRank 
0165-0114
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Jun Li100.34
Radko Mesiar23778472.41
Yao Ouyang357339.55
A. Šeliga401.69