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Multiplicative fuzzy sets

In this paper, we first define multiplicative fuzzy sets. We show that these sets are a generalization of ordinary fuzzy subsets. Then, by an example, we try to present a geometric interpretation of these sets. We obtain some basic operations and relations on multiplicative fuzzy sets. Finally, we apply multiplicative fuzzy sets for modeling Heisenberg's uncertainty principle (which is one of the most important principles of quantum mechanics).