id: 01748449
dt: a
an: 01748449
au: Miyamoto, Sadaaki
ti: Indexed rough approximations, a polymodal system, and generalized
    possibility measures.
so: Lin, Tsau Young (ed.) et al., Data mining, rough sets and granular
    computing. Heidelberg: Physica-Verlag. Stud. Fuzziness Soft Comput. 95,
    474-486 (2002).
py: 2002
pu: Heidelberg: Physica-Verlag
la: EN
cc: I.2.4
ut: fuzzy rough sets
ci: 
li: 
ab: Summary: Indexed rough approximations that generalize fuzzy rough sets are
    proposed. A family of indexed relations between objects with the set of
    indices being a lattice is considered. Relations in the family are
    ordered by the inclusion, and moreover the ordering is assumed to be
    consistent with the ordering of the lattice. Thus, a collection of
    rough approximations, each of which is induced from a relation in the
    family, is obtained. A polymodal system in which the modal operators
    with the indices are defined; the completeness between the axiomatic
    system and the Kripke model which is the above collection of rough
    approximations is proved. A possibility and necessity measures for
    sentences that takes the values of the lattice are derived from the
    polymodal system. These measures are proved to be equivalent to the
    ordinary possibility and necessity measures when the lattice is the
    unit interval.
rv: