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This paper presents a hypersurface discretization method of continuous-valued attribute in complex decision-making problems. Firstly, the definition of hypersurface in decision system is given and the hypersurface is proved to be a high-order polynomial. Item sum of the polynomial is given. Meanwhile, the relation between the number of hypersurface and the maximal number of decision rules is also...
As a basic problem in rough set (RS) theory, the attribute reduction of decision-making problem is to remove superfluous attributes from problem representation (i.e. decision tables) while preserving the consistency of classifications the original decision system provides. Identifying all reductions or the minimal reductions of a decision-making problem is already proved to be NP-hard. Therefore,...
In contrast to the traditional modeling methods, this paper presents a brand-new modeling method based on knowledge. Firstly, the definition of the modeling system based on knowledge is put forward. Secondly, the modeling system for decision-making problems based on knowledge is achieved according to the definition. Then the representation and organization of the system knowledge are discussed. Finally,...
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