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The integration of multiple ontologies and also the interaction between entities using different ontologies is one of the major challenges of the Semantic Web, ontologies play a crucial role in information representation. Significant research effort is directed towards aligning ontologies and identifying matching concepts. In this paper we present a novel method of concept translation and mapping using bridging rules by replacing a concept through an equivalent representation named bag of concepts. By translating concept description between ontologies we obtain the equivalent representation of the same concept using terms from other ontology, which will be used to determine the mapped concept or verify existing ones.