Analysis of variance for fuzzy data based on permutation method
- Title
- Analysis of variance for fuzzy data based on permutation method
- Author
- 정혜영
- Keywords
- Fuzzy number; ANOVA; Permutation method; Monte Carlo simulation
- Issue Date
- 2017-03
- Publisher
- 한국지능시스템학회
- Citation
- INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS, v. 17, No. 1, Page. 43-50
- Abstract
- This paper deals with analysis of variance with fuzzy data (ANOVAF) based on permutation method. The permutation method is a nonparametric method introduced by Heap and Johnson for the data when the normal distribution cannot be assumed. We proposed two different approaches to test hypothesis of fuzzy means using the empirical distribution. To compare the results, several distances are considered especially using -distance. Applying Monte Carlo simulation, it is confirmed through the numerical examples that the significant probability (^p-value) get approached true parameter (p-value) regardless of distances or testing method based on proposed method. In addition, the number of permutation samples required is determined in the example to satisfy specified given accuracy.
- URI
- http://www.dbpia.co.kr/journal/articleDetail?nodeId=NODE07129579&language=ko_KR#https://repository.hanyang.ac.kr/handle/20.500.11754/128455
- ISSN
- 1598-2645
- DOI
- 10.5391/IJFIS.2017.17.1.43
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML