On Two-Dimensional Fuzzy Random Data as Vague Perceptions of Crisp Phenomena

Abstract

In this paper, the author investigates numerically a class of two-dimensional elementary fuzzy random sets(abbreviated as EFRSs), which is one case of those proposed by the author[1] as models of vague capricious perceptions of crisp non-random phenomena. First, the basic results concerned with two-dimensional EFRSs as vague capricious perceptions of crisp phenomena are reviewed. Expectations of two-dimensional EFRSs, their estimators, and distances between expectations and their estimators are also reviewed briefly. Finally, estimates for expectations of two-type of twodimensional EFRSs and their estimation errors are numerically examined by simulation studies.