Evaluating is used in much the same way as abstracting, although you could consider it a higher-level, more generalized term in that we can cognitively evaluate the abstractions that result from our abstracting.

Abstracting by necessity involves evaluating, whether conscious or not, and so the process of abstracting may be considered as a process of evaluating stimuli, whether it be a “toothache,” “an attack of migraine,” or the reading of a “philosophical treatise.” A great many factors enter into “perceiving” … (Korzybski, 1990b, pp. 686–687)