PROCEEDINGS IPMU '08

A Restriction Level Approach to the Representation of Imprecise Properties

D. Sánchez, M. Delgado, M.A. Vila.

In this paper we introduce an alternative
representation of imprecise
properties that verify all the logical
equivalencies of the crisp case.
An imprecise property (or proposition)
on the objects of an universe
X is represented by a collection
of crisp realizations, each
one corresponding to a Restriction
Level (RL). A fuzzy subset of X
can be seen as a summary of a
RL-representation, both representations
being equivalent only for the
combination of atomic properties via
maximum and minimum. Our approach
allows us to extend crisp operations
to the imprecise case, keeping
all the properties of the crisp
case, notably those involving negation.

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