Macsum: A new interval-valued linear operator

Many applications in fields as diverse chemistry, mechanics, medicine, economics, robotics, environment, ecology, meteorology, etc. are based on the notion of system modeling. A is a real process associating deterministic way an output value to one or more input values. model mathematical object that allows analysis phenomena and prediction results at given level approximation. One difficulties modeling choice how measure, predict control The linear model, where obtained by weighted sum inputs, simple reduced number parameters, but describing functioning very approximate way, without approximation being known. Non-linear models much specific difficult use, even measure. What we propose this article imprecise so simplicity representation use quite comparable model. This sense imprecise, although inputs precise, thus potentially reflecting inadequacy represent behavior system: output, less likely single correctly describe system. can be seen convex set conventional models, outputs would have been each individually. non-monotonic real-valued concave measures.