Theory and Applications of Non-additive Measures and Corresponding Integrals

摘要

Itis given an short overview of some recent results in the theory of non-additive measures and corresponding integrals. It is presented the universal integral, which include among others, Lebesgue, Choquet, Sugeno, pseudo-additive, Shilkret integrals. Related pseudo-integral a generalization of L~P space is introduced. Many useful applications illustrate the power of non-additive measures and corresponding integrals.