Institute of Information Theory and Automation

Publication details

Discrete pseudo-integrals

Journal Article

Mesiar Radko, Li J., Pap E.


serial: International Journal of Approximate Reasoning vol.54, 3 (2013), p. 357-364

project(s): GAP402/11/0378, GA ČR

keywords: concave integral, pseudo-addition, pseudo-multiplication

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abstract (eng):

Integration of simple functions is a corner stone of general integration theory and it covers integration over finite spaces discussed in this paper. Different kinds of decomposition and subdecomposition of simple functions into basic functions sums, as well as different kinds of pseudo-operations exploited for integration and summation result into several types of integrals, including among others, Lebesgue, Choquet, Sugeno, pseudo-additive, Shilkret, PAN, Benvenuti and concave integrals. Some basic properties of introduced discrete pseudoconcave integrals are discussed, and several examples of new integrals are given.

RIV: BA

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Last modification: 21.12.2012
Institute of Information Theory and Automation