• DocumentCode
    2459922
  • Title

    Fuzzy Lattice Reasoning (FLR) Extensions to Lattice-Valued Logic

  • Author

    Kaburlasos, Vassilis G.

  • Author_Institution
    Human-Machines-Interaction (HMI) Lab., Technol. Educ. Instn. of Kavala, Agios Loukas, Greece
  • fYear
    2012
  • fDate
    5-7 Oct. 2012
  • Firstpage
    445
  • Lastpage
    448
  • Abstract
    This work introduces the Boolean (quotient) lattice (QI, ⊆), an element of whom is the union of countable (closed) intervals on the real line. It follows that (QI, ∪, ∩, ´) is a lattice implication algebra (LIA), the latter is an established framework for reasoning under uncertainty. It is illustrated in (QI, ∪, ∩, ´) how fuzzy lattice reasoning (FLR) techniques, for tunable decision-making, can be extended to lattice-valued logic. Potential practical applications are described.
  • Keywords
    Boolean functions; decision making; fuzzy reasoning; uncertainty handling; Boolean lattice; FLR extension; FLR technique; LIA; closed intervals; countable intervals; fuzzy lattice reasoning; lattice implication algebra; lattice-valued logic; quotient lattice; reasoning under uncertainty; tunable decision-making; Algebra; Cognition; Cost accounting; Decision making; Instruments; Lattices; Uncertainty; Fuzzy lattice reasoning; Inclusion measure; Lattice-valued logic; The lattice computing paradigm; Tunable decision-making;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Informatics (PCI), 2012 16th Panhellenic Conference on
  • Conference_Location
    Piraeus
  • Print_ISBN
    978-1-4673-2720-6
  • Type

    conf

  • DOI
    10.1109/PCi.2012.40
  • Filename
    6377344