On Convergence of Fuzzy Integrals over Complete Residuated Lattices

نویسندگان

  • Antonín Dvorák
  • Michal Holcapek
چکیده

Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type ⟨1, 1⟩ fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is used to establish the measurement how close two elements of a residuated lattice are.

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تاریخ انتشار 2011