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Information Sciences—Informatics and Computer Science: An International Journal
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Information Sciences: an International Journal
International Journal of Approximate Reasoning
Probabilistic rough set approximations
International Journal of Approximate Reasoning
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Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
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Knowledge-Based Systems
A rough set approach for selecting clustering attribute
Knowledge-Based Systems
Incomplete data and generalization of indiscernibility relation, definability, and approximations
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
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Knowledge-Based Systems
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Knowledge-Based Systems
Distance: A more comprehensible perspective for measures in rough set theory
Knowledge-Based Systems
Dominance-based rough set model in intuitionistic fuzzy information systems
Knowledge-Based Systems
Probabilistic rough set over two universes and rough entropy
International Journal of Approximate Reasoning
Graded rough set model based on two universes and its properties
Knowledge-Based Systems
Bipolar fuzzy rough set model on two different universes and its application
Knowledge-Based Systems
A novel soft set approach in selecting clustering attribute
Knowledge-Based Systems
Fuzzy probabilistic rough set model on two universes and its applications
International Journal of Approximate Reasoning
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To tackle the problem of rough set on single-universe, we discuss the rough set model over dual-universes in aspect of building connection between single-universe model and dual-universes model. The rough set model over dual-universes denoted as RSMDU in this paper is built through inspecting the relation between the two universes. Firstly, we propose the RSMDU and study its property using character function and relation matrix. The algorithm for obtaining the lower and upper approximations is then presented. Secondly, we show that Pawlak rough set model can be induced using RSMDU. The theorem inferring the connection between Pawlak model induced by RSMDU and RSMDU is presented. Finally, the applications of RSMDU are studied. According to proposed model, we demonstrate that the existing models of rough set are special cases of RSMDU and that the set of conditional attribute and the set of decision attribute can be regarded as dual-universes in decision-making system, where the model can be utilized to handle decision processing.