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Fuzzy soft set is a mapping from a parameter set to the collection of fuzzy subset of universal set. In this paper fuzzy soft relation is presented based on the cartesian product of fuzzy soft sets and the notion of fuzzy soft equivalence relation is introduced. The basic properties of these relations are studied to explain the concept of transitive closure of a fuzzy soft relation. Existence and uniqueness of transitive closure of a fuzzy soft relation is established and an algorithm to compute the transitive closure of a fuzzy soft relation is also given.

Algorithm to compute transitive closure of fuzzy soft relation