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Titlebook: Rough Sets; International Joint Lech Polkowski,Yiyu Yao,Beata Zielosko Conference proceedings 2017 Springer International Publishing AG 20

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Two Novel Decomposition Approaches for Knowledge Acquisition Modelhandling large-scale data, many current knowledge acquisition algorithms based on rough set theory are inefficient. In this paper, novel decomposition approaches for knowledge acquisition are put forward. The principal of decomposition is to split a complex problem in several problems. Those problem
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Three-Way Decisions with DEA Approachthe decision attributes are “more than one” in rough sets. The estimation of production frontiers of DEA, is used to generate the three regions by three-way decisions: DEA efficiency region, weak DEA efficiency region and DEA inefficiency region, respectively. An empirical study of company efficienc
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Certainty-Based Rough Setsnd reducts in this framework. We define three categories of approximations that make use of the certainty value and generalize different aspects of the approximations: their equation, the binary relation used and the granulation. Further, new kinds of reducts aimed to make use or reduce the information provided by the certainty values are given.
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A Topological Approximation Space Based on Open Sets of Topology Generated by Coveringsthen generalized to an extended rough fuzzy membership function of the ‘new’ objects. Basing on this extended membership function and the least neighbourhood of any ‘new’ object, we propose a new topological approach to classification problem.
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Actual Existence Predicate in Mereology and Mereotopology (Extended Abstract)e resulting system in mereotopology is a Boolean algebra with predicate of actual existence and a binary relation called “actual contact”. For both systems we present standard models and prove the corresponding representation theorems.
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