Title
Fuzzy Sign test for imprecise quantities: A p-value approach
Abstract
This paper extends the non-parametric Sign test to the case when available observations and underlying hypotheses about the population median are imprecise quantities. To do this, by using some elements of possibility theory, we suggest a ranking index among imprecise observations. The index is applied to extend the usual concepts of classical hypothesis testing problem to obtain Sing test statistic and interval p-value. Comparing p-value and a nominal significance level, the fuzzy non-parametric Sign test is constructed providing some degrees to accept or reject the imprecise hypotheses. Several numerical examples are provided throughout the paper to clarify the proposed approach. Finally, a comprehensive review of several well-known non-parametric test approaches is given.
Year
DOI
Venue
2014
10.3233/IFS-141272
Journal of Intelligent and Fuzzy Systems
Keywords
DocType
Volume
imprecise observations,necessity and possibility indices,interval p-value,fuzzy sign test,imprecise hypotheses
Journal
27
Issue
ISSN
Citations 
6
1064-1246
1
PageRank 
References 
Authors
0.37
13
2
Name
Order
Citations
PageRank
Gholamreza Hesamian16915.53
Jalal Chachi2233.44