BP Chain Sets II, Special Cases of Chain Sets

  • Ellen Hisdal née Gruenwald
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 14)


We consider here several limiting cases of chain sets. The first three of these, discussed in sect. 4.2, represent three types of emptiness. In contrast to set theory which has only one representation of emptiness, namely the empty set ∅, the chain set logic distinguishes between three types of emptiness, resulting in three different chain set structures. These are 1) The representation of an empty collection of objects, 2) The representation of a contradictory statement, and 3) The representation of the state of ignorance.


Knowledge Base Semantic Point Contradictory Statement Empty List Null Element 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Ellen Hisdal née Gruenwald
    • 1
  1. 1.Department of InformaticsUniversity of OsloOsloNorway

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