On Law of Large Numbers for a Class of Fuzzy Random Vectors
Tokuo Fukuda · Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications · 1998
In this paper, the author proposes a kind of the law of large numbers for a class of fuzzy random vectors(FRVCs), which have intrinsically both properties of fuzziness and randomness and they are considered to be obtained as fuzzy perceptions of ordinary non-fuzzy random vectors. First, the basic properties of fuzzy sets are described from the viewpoint of the set representation approach. Secondly, applying the multi-valued logic, FRVCs and their expectations are reviewed. Finally, a kind of the law of large numbers for the proposed FRVCs are investigated theoretically.