It is known that compactness occupies a very important place in general topology and also in fuzzy topology. In this paper, a stronger form of a fuzzy soft topology which is called a parameterized L-fuzzy soft topology is presented and compactness of a L-fuzzy soft set is established in the described topological space, where L is a complete DeMorgan algebra. Then the fundamental properties and characterizations of compactness are observed.
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