This paper presents a bottom-up approach for a multiview measurement of statechart size, topological properties, and internal\r\nstructural complexity for understandability prediction and assurance purposes. It tackles the problem at different conceptual depths\r\nor equivalently at several abstraction levels. The main idea is to study and evaluate a statechart at different levels of granulation\r\ncorresponding to different conceptual depth levels or levels of details. The higher level corresponds to a flat process view diagram\r\n(depth = 0), the adequate upper depth limit is determined by the modelers according to the inherent complexity of the problem\r\nunder study and the level of detail required for the situation at hand (it corresponds to the all states view). For purposes of\r\nmeasurement, we proceed using bottom-up strategy starting with all state view diagram, identifying and measuring its deepest\r\ncomposite states constituent parts and then gradually collapsing them to obtain the next intermediate view (we decrement depth)\r\nwhile aggregating measures incrementally, until reaching the flat process view diagram. To this goal we first identify, define, and\r\nderive a relevant metrics suite useful to predict the level of understandability and other quality aspects of a statechart, and then we\r\npropose a fuzzy rule-based system prototype for understandability prediction, assurance, and for validation purposes.
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