Eye-tracking Data, Complex Networks and Rough Sets: an Attempt Toward Combining Them

Abstract

Eye-tracking sequences can be considered in terms of complex networks. On the basis of complex network representation of eye-tracking data, we define a measure, derived from rough set theory, for assessing the cohesion of saccade connections between object components identified in visual stimuli used in eye-tracking experiments. Rough sets are an appropriate tool to deal with rough (ambiguous, imprecise) concepts. Theoretical foundations given in the paper are supplemented with a numerical example explaining the proposed approach.

Quantitative Assessment of Ambiguities in Plasmodium Propagation in Terms of Complex Networks and Rough Sets

“…The following bijective functions are used: On the basis of the complex network modeling behavior of a given Physarum machine PM, we define a measure, derived from rough set theory, for quantitative assessment of the cohesion of connections between regions of interest (cf. an analogous approach proposed in [3]).…”

“…The measure is defined analogously to the measure, proposed in [3], for assessment of the cohesion of saccade connections between object components in visual stimuli used in eye-tracking techniques. Rough sets theory proposed by Z. Pawlak is a mathematical tool to deal with rough (ambiguous, imprecise) concepts in the universe of discourse (cf.…”