A generalization of the Moore and Yang integral and interval probability density functions
Bedregal, B.
Universidade Federal do Rio Grande do Norte
da Costa, C. G.
Universidade Federal da Paraiba
Palmeira, E.
Universidade Estadual de Santa Cruz
Bedregal, B. L. L.
Universidade do Estado do Rio de Janeiro
Journal
International Journal of General Systems
ISSN
0308-1079
1563-5104
Open Access
closed
Volume
53
Start page
302
End page
330
Based on an extension of Riemann sums, Moore and Yang have defined an integral notion for the context of continuous inclusion monotonic interval functions in which the limits of integration are real numbers. This integral notion generalizes the usual one for real-valued functions based on Riemann sums. In this paper we extend this approach by considering intervals as limits of integration and abolishing the inclusion monotonic restriction of the integrable interval functions. Also, such a new integration notion is used to define interval probability density functions and use it in interval probability distribution functions.