Fuzzy decision making in testing hypotheses: An introduction to the packages ``FPV" and ``Fuzzy.p.value" with practical examples

This paper reviews and compares two R packages ``FPV" and ``Fuzzy.p.value".These packages are designed for testing hypotheses in a fuzzy environment using a fuzzy p-value based approach.In fact, the packages ``FPV" and ``Fuzzy.p.value" propose some useful functions for testing hypotheses when the data / hypotheses are fuzzy rather than crisp.The proposed methods and functions have been presented together with illustrative practical examples.

Keywords:

R package , testing fuzzy hypotheses , fuzzy data , fuzzy significance level , fuzzy p -value , extension principle