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1 Šeliga Adam

1 2019

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Decomposition integral without alternatives, its equivalence to Lebesgue integral, and computational algorithms

Šeliga Adam

Journal of Automation Mobile Robotics and Intelligent Systems

2019

Vol. 13, No. 3

41--48

In this paper we present a new class of decomposition integrals called the collection integrals. from this class of integrals we take a closer look on two special types of collection integrals, namely the chain integral and the minmax integral. Superdecomposition version of collection integral is also defined and the superdecomposition duals for the chain and the min-max integrals are presented. Also, the condition on the collection that ensures the coincidence of the collection integral with the Lebesgue integral is presented. Lastly, some computational algorithms are discussed.