IFHGS

AcronymDefinition
IFHGSInternational Federation of Human Genetics Societies
References in periodicals archive ?
If H is the parent IFHG, Y is the sub-IFHG, [delta] is the dilation operator, and [epsilon] is the erosion operator, then [[gamma].sup.1/2] = [[delta].sup.e]([[epsilon].sup.n]([Y.sup.n])) is a half opening filter with respect to the hyperedges in [Y.sup.e'].
If H is the parent IFHG, Y is the sub-IFHG, [gamma] is the dilation operator, and e is the erosion operator, then [[phi].sub.1/2] = [[epsilon].sup.n]([[delta].sup.n]([Y.sup.e]) is a half closing filter with respect to the hyperedges in Y.
If H is the parent IFHG, Y is the sub-IFHG, [delta] is the dilation operator, and e is the erosion operator, then [[phi].sub.1/2] = [[epsilon].sup.n]([[delta].sup.e]([Y.sup.n])) is a half closing filter with respect to the nodes in Y.
If H is a parent IFHG, Y is a sub-IFHG, [delta] is the dilation operator, and [epsilon] is the erosion operator, then [[gamma].sub.[lambda]] = [[[[delta].sup.n]([[epsilon].sup.e]([Y.sup.n]))].sub.[lambda]] is a metric induced opening with respect to the nodes where top [lambda] nodes with high membership degrees are selected.
If H is a parent IFHG, Y is a sub-IFHG, [delta] is the dilation operator, and e is the erosion operator, then [[gamma].sub.[lambda]] = [[[[delta].sup.e]([[epsilon].sup.n]([Y.sup.e]))].sub.[lambda]] is a metric induced opening with respect to the hyperedges where top [lambda] edges with high membership degrees are selected.
If H is a parent IFHG, Y is a sub-IFHG, [delta] is the dilation operator, and e is the erosion operator, then [[phi].sub.[lambda]] = [[[[epsilon].sup.e]([[delta].sup.n]([Y.sup.e]))].sub.[lambda]] is a metric induced closing with respect to the hyperedges where top [lambda] edges with high membership degrees are selected.
If H is a parent IFHG, Y is a sub-IFHG, [delta] is the dilation operator, and [epsilon] is the erosion operator, then [[phi].sub.[lambda]] = [[[[epsilon].sup.n]([[delta].sup.e]([Y.sup.n]))].sub.[lambda]] is a metric induced closing with respect to nodes where top [lambda] nodes from edges which contain [Y.sup.n] and which do not belong to the complement edges are selected.
If H is a parent IFHG, Y is a sub-IFHG, [[gamma].sub.[lambda]] is an opening of the form [([delta] [??] [epsilon]).sub.[lambda]], and [[phi].sub.[lambda]] is a closing operator of the form [([epsilon] [??] [delta]).sub.[lambda]], then ([[gamma].sub.[lambda]] [??] [[phi].sub.[lambda]]) is also a filter.
Consider H as a parent IFHG and Y as a sub-IFHG as shown in Figures 8(a) and 8(b), respectively.
An IFHG constructed in this way can be subjected to many information retrieval operations.