Affiliations: Department of Statistics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran
Note: [] Correspondence to: Mohsen Arefi, Department of Statistics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran. Tel.: +98 561 2502103; Fax: +98 5612502041; E-mails: [email protected], [email protected] (M. Arefi); [email protected] (M.Gh. Akbari).
Abstract: A nonparametric approach for testing statistical hypotheses based on intuitionistic fuzzy data is presented. According to the proposed approach, first, a confidence interval based on intuitionistic fuzzy data is defined, which are then used to make a procedure for testing statistical hypotheses. To evaluate statistical hypotheses, a new criteria, called degree of acceptance (DA), has been proposed.
Keywords: Bootstrap method, degree of acceptance (DA), intuitionistic fuzzy confidence interval, intuitionistic fuzzy number, intuitionistic fuzzy set, Yao-Wu signed distance
