TY - GEN
T1 - Set-valued characterizations of periodic density for discrete systems
AU - Román-Flores, H.
AU - Chalco-Cano, Y.
PY - 2008
Y1 - 2008
N2 - Let (X, d) be a metric space and f : X → X a continuous function. If we consider the space (K(X),H) of all nonempty compact subsets of X endowed with the Hausdorff metric H induced by d, and f̄ : K(X) → K(X) the natural extension of f to K(X) defined by f̄(A) = {f(a)/a ∈ A}, then the aim of this work is to connect the periodic density of f on X with the periodic density of f̄ restricted to some distinguished subspaces of K(X).
AB - Let (X, d) be a metric space and f : X → X a continuous function. If we consider the space (K(X),H) of all nonempty compact subsets of X endowed with the Hausdorff metric H induced by d, and f̄ : K(X) → K(X) the natural extension of f to K(X) defined by f̄(A) = {f(a)/a ∈ A}, then the aim of this work is to connect the periodic density of f on X with the periodic density of f̄ restricted to some distinguished subspaces of K(X).
UR - https://www.scopus.com/pages/publications/51149093922
U2 - 10.1109/NAFIPS.2008.4531288
DO - 10.1109/NAFIPS.2008.4531288
M3 - Conference contribution
AN - SCOPUS:51149093922
SN - 9781424423521
T3 - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
BT - 2008 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2008
T2 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2008
Y2 - 19 May 2008 through 22 May 2008
ER -