id: 05806547
dt: a
an: 05806547
au: Lawry, Jonathan
ti: A random set and prototype theory interpretation of intuitionistic fuzzy
    sets.
so: Hüllermeier, Eyke (ed.) et al., Information processing and management of
    uncertainty in knowledge-based systems. Theory and methods. 13th
    international conference, IPMU 2010, Dortmund, Germany, June 28‒July
    2, 2010. Proceedings. Part I. Berlin: Springer (ISBN
    978-3-642-14054-9/pbk; 978-3-642-14055-6/ebook). Communications in
    Computer and Information Science 80, 618-628 (2010).
py: 2010
pu: Berlin: Springer
la: EN
cc: 
ut: intuitionistic fuzzy sets; random set neighbourhoods; fuzzy labels; random
    sets; membership functions; interval fuzzy set theory
ci: 
li: doi:10.1007/978-3-642-14055-6_65
ab: Summary: An interpretation of intuitionistic fuzzy sets is proposed based
    on random set theory and prototype theory. The extensions of fuzzy
    labels are modelled by lower and upper random set neighbourhoods,
    identifying the elements of the universe within an uncertain distance
    threshold of a set of prototypical elements. These neighbourhoods are
    then generalised to compound fuzzy descriptions generated as logical
    combinations of basic fuzzy labels. The single point coverage functions
    of these lower and upper random sets are then shown to generate lower
    and upper membership functions satisfying the min-max combination rules
    of interval fuzzy set theory, the latter being isomophic to
    intuitionistic fuzzy set theory.
rv: