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Basic ideas of rough set theory were proposed by Zdzislaw Pawlak [90, 91] in the early 1980’s. In the ensuing years, we have witnessed a systematic, world-wide growth of interest in rough sets and their applications. There are numerous areas of successful applications of rough set software systems [101]. Many interesting case studies are reported (for references see e.g., [100, 101], [87] and the...
We discuss the impact of inductive reasoning on the rough set to concept approximation. In inductive reasoning one cannot define inclusion degrees of object neighborhoods directly into the target concepts but only into some neighborhoods relevant to such concepts. Such degrees together with degrees of inclusion of patterns in target concepts make it possible to define outputs of classifiers for new...
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