In handing information regarding various aspects of uncertainty, non-classicalmathematics\n(fuzzy mathematics or great extension and development of classical\nmathematics) is considered to be a more powerful technique than classical\nmathematics. The non-classical mathematics, therefore, has now days\nbecome a useful tool in applications mathematics and computer science. The\npurpose of this paper is to apply the concept of the fuzzy sets to some algebraic\nstructures such as an ideal, upper semilattice, lower semilattice, lattice\nand sub-algebra and gives some properties of these algebraic structures by\nusing the concept of fuzzy sets. Finally, related properties are investigated in\nfuzzy BCK-algebras.
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