Abstract
The author has proposed a kind of fuzzy random vectors(FRVCs in short) which may be appropriate for modeling the data with vagueness and randomness simultaneously[1]. Those FRVCs are considered as the vague perceptions of random phenomena. The purpose of this paper is to propose another type of FRVCs which are not vague perceptions of random phenomena but vague themselves. This another type of FRVCs may be appropriate for modeling human feelings, economic conditions and so on, whose typical properties are that they are obtained as the synthetical verbal expressions of complex random phenomena. First, using the set representation approach, the reasonable definition of fuzzy random variables(FRVCs) is proposed. Secondly, The statistical moments for the proposed FRVCs and their estimates are investigated. Finally, some of estimates are proposed for the statistical moments of FRVCs.
