A Characterization of Fuzzy Integrals Invariant with Respect to Permutation Groups

  • Antonín Dvořák
  • Michal Holčapek
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 300)


This contribution studies isomorphisms of fuzzy measure spaces and related notions, namely cardinal fuzzy measure spaces and fuzzy measure spaces closed under isomorphisms with respect to permutation groups. By these special fuzzy measure spaces, a characterization of ⊙-fuzzy integrals that are for a given function invariant with respect to permutations from a group of permutations is provided.


Permutation Group Residuated Lattice Fuzzy Subset Bijective Mapping Double Negation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Antonín Dvořák
    • 1
  • Michal Holčapek
    • 1
  1. 1.Centre of Excellence IT4Innovations Division of UOInstitute for Research and Applications of Fuzzy ModelingOstravaCzech Republic

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