Abstract

The notions of interval-valued multi-fuzzy soft set and possibility interval-valued multi-fuzzy soft set are proposed in this paper. Several interesting algebraic properties of them are then investigated. In particular, both interval-valued multi-fuzzy soft set and possibility interval-valued multi-fuzzy soft set with union and intersection operators turn out to be distributive lattices. Finally, possibility interval-valued multi-fuzzy soft sets are applied to decision making and an illustrated example is given.

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