Title :
General pseudo-integral
Author :
Pap, Endre ; Szakal, Aniko
Author_Institution :
Singidunum Univ., Belgrade, Serbia
Abstract :
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 pseudo-measure 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 :
integral equations; nonlinear differential equations; set theory; general pseudo-integral; generalized pseudo-measure; nonlinear partial diferential equations; partially ordered commutative semiring; Additives; Computational intelligence; Generators; Integral equations; Lattices; Measurement; Partial differential equations; Semiring; generalized pseudo-integral; nonlinear partial differential equation; pseudoadditive measure;
Conference_Titel :
Applied Computational Intelligence and Informatics (SACI), 2015 IEEE 10th Jubilee International Symposium on
Conference_Location :
Timisoara
DOI :
10.1109/SACI.2015.7208248
