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In this paper, a stronger form of a fuzzy soft topology which is called a parameterized\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy soft topology is presented and compactness of a\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy soft set is established in the described topological space, where\n                    <jats:italic>L<\/jats:italic>\n                    is a complete DeMorgan algebra. 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