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Titlebook: Rough Sets and Current Trends in Computing; 6th International Co Chien-Chung Chan,Jerzy W. Grzymala-Busse,Wojciech Conference proceedings

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An Equivalent Definition of Rough Setswe explain rough set upper approximation as a linear mapping and study the linear properties of rough sets. The relationship between the linear mappings and the upper approximations is established. The results and methods given in this paper will hopefully simplify the theoretical and practical researches of rough sets.
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Rough Set Approach to Information Tables with Imprecise Decisionsattribute values are specified imprecisely. Under such decision tables, lower and upper object sets for a set of decision attribute values are defined. Their properties are shown. Concepts of reducts of imprecise decision tables are studied. Discernibility matrix methods are investigated for calculations of all reducts.
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A Framework for Multiagent Mobile Robotics: Spatial Reasoning Based on Rough Mereology in Player/Staent environment require a theory of spatial reasoning. We propose here a spatial theory based on rough mereology along with an implementation in the software system Player/Stage. The proposed theoretical–software system provides a platform for analysis of tasks of multiagent mobile robotics.
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Some Remarks on Approximations of Arbitrary Binary Relations by Partial OrdersWhen a non-numerical ranking is created using Pairwise Comparisons paradigm, its first estimation is a binary relation which may not even be a partial order. In the paper four different partial order approximations of an arbirary binary relation are introduced and discussed.
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Statistical Independence of Multi-variables from the Viewpoint of Linear AlgebraThis paper focuses on statistical independence of three variables from the viewpoint of linear algebra. While information granules of statistical independence of two variables can be viewed as determinants of 2 ×2- submatrices, those of three variables consist of linear combination of odds ratios.
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0302-9743 et theory was closely connected to application ?elds of computer science and to other areas, such as medicine, which provided additional motivation for its furt978-3-540-88423-1978-3-540-88425-5Series ISSN 0302-9743 Series E-ISSN 1611-3349
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