On Estimates of Second Statistical Moments for a Class of Fuzzy Random Vectors

抄録

In this paper, the author proposes the estimators of first and second moments for some kind of fuzzy random vectors(FRVCs). The FRVCs investigated in this paper have intrinsically both properties of fuzziness and randomness and they are considered 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 statistical moments are reviewed. Finally, the estimators of statistical moments up to the second ones for the proposed FRVCs are investigated theoretically. It should be noted that the definitions of FRVCs and their statistical moments given in this paper are the refined ones previously proposed by the author[1].