On Two-Dimensional Fuzzy Random Data with Polygon-form Level Sets as Vague Perception of Crisp Random Phenomena
On Two-Dimensional Fuzzy Random Data with Polygon-form Level Sets as Vague Perception of Crisp Random Phenomena
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DOI：
10.5687/sss.2019.177
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发表时间：
2019-07
期刊：
影响因子：
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通讯作者：
T. Fukuda
中科院分区：
文献类型：
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作者：
T. Fukuda
本文对一类二维模糊随机集(简称FRS)进行了数值研究，它是作者[1]提出的模糊随机现象的模糊反复感模型的一种情况。首先，回顾了二维FRS作为随机现象的模糊反复无常感知的基本结果。对二维财务报告准则的预期、其估计量以及预期与其估计量之间的距离也作了简要回顾。最后，对水平集为多边形水平集的二维FRS的期望估计及其估计误差进行了数值研究。
In this paper, the author investigates numerically a class of two-dimensional fuzzy random sets(abbreviated as FRSs), which is one case of those proposed by the author[1] as models of vague capricious perceptions of crisp random phenomena. First, the basic results concerned with two-dimensional FRSs as vague capricious perceptions of random phenomena are reviewed. Expectations of two-dimensional FRSs, their estimators, and distances between expectations and their estimators are also reviewed briefly. Finally, estimates for expectations of two-dimensional FRSs and their estimation errors are numerically examined by simulation studies, when their level sets are given by polygon-form ones at every level.