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A ________ has a greatest element and a least element which satisfy 0<=a<=1 for every a in the lattice(say, L).

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A ________ has a greatest element and a least element which satisfy 0<=a<=1 for every a in the lattice(say, L).

(a) semilattice

(b) join semilattice

(c) meet semilattice

(d) bounded lattice

The question was asked by my college professor while I was bunking the class.

Question is from Graphs in chapter Graphs of Discrete Mathematics

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Right option is (d) bounded lattice

The best explanation: A lattice that has additionally a supremum element and an infimum element which satisfy 0<=a<=1, for every an in the lattice is called a bounded lattice. A partially ordered set is a bounded lattice if and only if every finite set (including the empty set) of elements has a join and a meet.

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