in some quality control applications, the quality of a process or a product is described by the relationship between a response variable and one or more explanatory variables, called a profile. moreover, in most practical applications, the qualitative characteristic of a product/service is vague, uncertain and linguistic and cannot be precisely stated. the purpose of this paper is to propose a ...

Hypothesis testing is one of the most significant facets of statistical inference, which like other situations in the real world is definitely affected by uncertain conditions. The aim of this paper is to develop hypothesis testing based on likelihood ratio test in fuzzy environment, where it is supposed that both hypotheses under study and sample data are fuzzy. The main idea is to employ Zade...

In this paper we introduce a new sequential sampling plan based on sequential probability ratio test for fuzzy hypotheses testing. In order to deal with uncertainty happened, the triangular fuzzy number (TFN) is used to express the fuzzy phenomenon of the sampling plan’s parameters. In this plan the acceptable quality level (AQL) and the lot tolerance percent defective (LTPD) are TFN. For such ...

The aim of this paper is to present in a concise and integrated way the bootstrap approach to statistical testing of hypotheses about means of fuzzy-valued random variables. We will deal with the one-, two-sample and ANOVA testing problems in a way that will allow us to see also some differences in approaching them, and also to conclude the suitability of bootstrap techniques in handling these ...

Abstract – The problem of hypothesis testing with a nuisance parameter is considered. Two methods for using fuzzy knowledge on the nuisance parameter to test hypotheses are suggested. These methods are neither a pure classical nor a pure Bayesian approach to hypothesis testing, but rather related to both. A few known examples and their applications, which cannot be studied by the parametric sta...