On Two-Dimensional Fuzzy Random Data with Polygon-form Level Sets as Vague Perception of Crisp Random Phenomena

• Fukuda Tokuo

  Faculty of Management, Otemon Gakuin University

Abstract

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.

Journal

• Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications

  Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2019 (0), 177-182, 2019-07-31

  The ISCIE Symposium on Stochastic Systems Theory and Its Applications

Keywords

• Materials Science (miscellaneous)

Details

• CRID: 1390846609789180288
• NII Article ID: 130007777074
• DOI: 10.5687/sss.2019.177
• ISSN: 21884749
• ISSN: 21884730
• Web Site: https://www.jstage.jst.go.jp/article/sss/2019/0/2019_177/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed