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Let (U, [[tau].sub.N](F), I) be a NNI with an ideal I on U and [(.).sup.*.sub.N] be a set of operator from P(U) to P(U) x P(U) (P(U) is the set of all subsets of U).

(1) Let {[A.sub.[alpha]] : [alpha] [member of] 1} be a family of [[tau].sub.1][[tau].sub.2]-[delta] semiconnected subsets of a bitopological space (X, [[tau].sub.1], [[tau].sub.2]) with [intersection][A.sub.[alpha]] [not equal to] [phi].

Previous studies considering the intelligent sensor applications incurring multilabel feature selection did not tackle the issue related to the generation of promising feature subsets, resulting in a degeneration of search effectiveness.

By Bo(X) we denote the [sigma]-algebra of Borel subsets of X, by C(X) we mean the ring of all real-valued continuous functions on X and by [C.sup.0](X) we denote the Banach space of all continuous real-valued bounded functions on X with the sup-norm [parallel]f[parallel] = sup{|f(x)|: x [member of] X}.

Let X be a Banach space and X* its topological dual, and BCC (X) is the collection of all non-empty bounded, closed, convex subsets of X: In general we have CC (X) [??] WCC (X) [??] BCC (X): For reflexive Banach space X, we have WCC (X) = BCC (X): If X is finite dimensional, then CC (X) = WCC (X) = BCC (X): To avoid avoid confusion we shall use small letters a; b; c; ...

Let E be a topological space, D a nonempty set, <D> the set of all nonempty finite subsets of D, and [GAMMA] : <D> [??] E a multimap with nonempty values [[GAMMA].sub.A] := [GAMMA](A) for A [member of] (D).

Since [P.sup.5] has [[omega].sup.5] hyperplanes each hyperplane has 15 rational normal curves and each rational normal curves has [[infinity].sup.a] subsets with cardinality a, to rule out these cases it is sufficient to test all C [member of] [M'.sub.d,g] with [h.sup.1]([I.sub.C](7)) [greater than or equal to] 3a - 20.

Prices of meat; and milk, cheese and eggs subsets rose by 0.15% and 0.08% respectively in February, 2016 compared with January 2016 prices.