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  • 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 pseudoconcave integrals are discussed, and several examples of new integrals are given.
  • 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 pseudoconcave integrals are discussed, and several examples of new integrals are given. (en)
Title
  • Discrete pseudo-integrals
  • Discrete pseudo-integrals (en)
skos:prefLabel
  • Discrete pseudo-integrals
  • Discrete pseudo-integrals (en)
skos:notation
  • RIV/67985556:_____/13:00391390!RIV14-GA0-67985556
http://linked.open...avai/riv/aktivita
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  • I, P(GAP402/11/0378)
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  • 3
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  • 69845
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  • RIV/67985556:_____/13:00391390
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  • concave integral; pseudo-addition; pseudo-multiplication (en)
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  • NL - Nizozemsko
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  • [A74E1C6E1B7F]
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  • International Journal of Approximate Reasoning
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  • 54
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  • Li, J.
  • Mesiar, Radko
  • Pap, E.
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  • 000316166200002
issn
  • 0888-613X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.ijar.2012.07.008
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