Asian Journal of Applied Sciences1996-3343xxxx-xxxxKnowledgia Review10.3923/ajaps.2012.43.51PramadaJ. RaoJ. Venkateswara KumarD.V.S.R. Anil 1201251This paper is a study on positive lattice measurable sets and positive lattice measurable functions. It establishes the concepts of positive lattice measure, positive lattice measurable set, positive lattice measurable function, lattice Lebesgue integral, countable union of positive lattice measurable function, countable intersection of positive lattice measurable function and that these functions are lattice measurable. Also we have found that positive lattice measure satisfies first and second valuation theorems. Finally we confirm some basic integral properties of positive lattice measurable functions.]]>Kumar, D.V.S.R.A., J. Venkateswara Rao and E.S.R. Ravi Kumar,20116439446Anil Kumar, D.V.S.R., J.V. Rao and J. Pramada,20112011Birkhoff, G.D.,19673rd Edn.,Royden. H.L.,19813rd Edn.,Rudin, W., 19873rd Edn.,Tanaka, J.,20092009