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In the top graphs of the figure, the final consistencies of the three populations slightly differ given the non precise effect of the population carrying capacity computed as average of the ones of all genotypes.
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Therefore so-called non-precise numbers are necessary to describe measurement results.
Non-precise numbers are special fuzzy subsets of the set of real numbers.
Engineering and scientific measurement results of continuous quantities are not precise numbers but more or less non-precise.
A non-precise definition of habitat and the wrong choice of the scale can affect model outcomes and our understanding about population conservation status.
Hence, a complex hybrid reliability problem will be caused when the random and non-precise probability variables both exist in a same structure.
Random distributions are used to deal with the uncertain parameters with sufficient information, while the probability box models are employed to deal with the non-precise probability variables.
The emergence of nanotechnology in biology helps to apply the gold nanoparticle probes for fast and accurate identification of pathogens compared to the time-consuming and non-precise phenotypic methods.
Such contradiction may be attributed to our non-precise quantitative physical labor intensity.
In most applied sciences, there are several situations for which non-precise values can be assigned to their experiments.
In such practical cases, non-precise numbers are suitable models to formalize and handle such imprecise quantities, which is the justification for require to fuzzy sets in ANOVA.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com