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In this paper, using "belongingness) ( " and "quasi-coincidence) (q " of fuzzy points and fuzzy sets, the concept of

Molodtsov introduced the concept of soft set, as a mathematical tool for dealing with uncertainties. In this work, we have extended the concept of soft set in hemirings. We have studied soft hemirings and investigated some structural properties of them. Finally using these structural properties, we have characterized graph with loops.

In this paper, connection between lattice and semiring are investigated. This is done by introducing some examples of lattice and semirings. Examples and results are illustrated. In some cases we have used MATLAB.