Analysis of variance for fuzzy data

  • Authors:
  • Hsien-Chung Wu

  • Affiliations:
  • Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2007

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Abstract

The method for imposing imprecise (fuzzy) data upon the traditional ANOVA model is proposed in this article. We transact the h-level sets of fuzzy data for the sake of invoking traditional method of ANOVA for real-valued data. We propose the decision rules that are used to accept or reject the null and alternative hypotheses with the notions of pessimistic degree and optimistic degree by solving optimization problems. Finally, we provide a computational procedure and an example to clarify the discussions in this article.