Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with vagueness and uncertainties. It is worth noting that the decision making theory has been proven a more effective tool in the real-world problems under imprecise environments. In this paper, we introduce a new fuzzy soft model, called the multi-fuzzy bipolar soft set model. Some operations of this notion are first investigated and some of the related properties are studied. Finally, an algorithm based on multi-fuzzy bipolar soft set is presented and an illustrative example is given to analyze the application of the proposed algorithm.
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