Discrete pseudo-integrals

作者:Mesiar Radko*; Li Jun; Pap Endre
来源:International Journal of Approximate Reasoning, 2013, 54(3): 357-364.
DOI:10.1016/j.ijar.2012.07.008

摘要

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 pseudo-concave integrals are discussed, and several examples of new integrals are given.

  • 出版日期2013-4
  • 单位中国科学院; 中国传媒大学