General pseudo-integral

—It is generalized the notion of pseudo-measure for values in a partially ordered commutative semiring endowed with special metrics. Based on the notion of generalized pseudomeasure it is introduced the corresponding pseudo-integral, and there are proved some important properties of it. Then there are considered special semirings on real intervals, and some application on nonlinear partial diferential equations. Keywords. Semiring, generalized pseudo-integral, pseudoadditive measure, nonlinear partial differential equation.

• Type: Journal
• Year: 2015
• Where: SACI
• Authors: Endre Pap, Aniko Szakal
• Keywords: Artificial Intelligence, SACI 2015