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Discretization of continuous-valued attributes is always one of the key problems in rough sets theory, a multiscale rough set model (MRSM) is developed that describes the discretization at multiple scales and analyzes the relation of classifications and certainty between scales. In view of the model's efficiency and effectiveness. an optimal scale can be acquired with self-organization, self-study...
The veracity of land evaluation is tightly related to the reasonable weights of land evaluation factors. A new method is proposed for determining land evaluation factors by combining the subjective and objective weights based on rough sets mining theory in this paper. Objective weight is obtained based on the rough sets theory. On the basis of the experience knowledge and practical applications, decision-makers...
Attribute reduction is one of the key problems in Rough Set theory, and many algorithms have been proposed for static data. Very little work has been done in incremental attribute reduction algorithm. In this paper, an incremental attribute reduction algorithm is present. In order to reduce the computational complexity, a fast counting sort algorithm is introduced for dealing with redundant and inconsistent...
In this article, a new method for lower approximation reduction is introduced in inconsistent ordered information systems (IOIS). The dominance matrix and lower approximation decision matrix are proposed in information systems based on dominance relations. Furthermore, the algorithm of lower approximation reduction is obtained, from which we can provide approach to lower approximation reduction operated...
In this paper, a novel approach based on rough set theory and a pair wise comparison table for reduction and ordering of basic events in fault tree is proposed. The details of the approach, together with the basic concepts of rough set theory, are presented. A case study is used to illustrate the application of the proposed approach. Results show that a reasonable ordering of basic events in a fault...
In an ordered decision information system, dominance-based rough set approach (DRSA) were used to compute reducts of the system which preserve the lower and upper approximations of upward union and downward union of decision classes. Recently, class-based reducts (L-reduct and U-reduct) which preserve respectively lower and upper approximates of each decision classes was proposed. In this paper, we...
The extension of classical rough set model is a very hot and interesting topic. In this paper, our aim is to present the first type of graded rough set (FGRS) based on rough membership function. The concepts of k-regions, k-rough degree, etc., are proposed firstly, and some of important properties are investigated in this rough set model. Moreover, the model has the corresponding properties with classical...
The paper studies the axiomatization of rough sets with a new approach, that is, the matroidal approach. First, Pawlak matroids are introduced. Properties of Pawlak matroids are studied. Then three sets of axioms of the Pawlak upper approximation operator are proposed from a matroidal point of view. Additionally, a possible generalization of Pawlak rough sets based on coverings is pointed out.
Rough sets theory can be used to research imprecise and incomplete problems in information systems. Conflict analysis and resolution play an important role in business, governmental, political and lawsuits disputes, labor-management negotiations, military operations and others. This article illustrates the proposed approach by means of a simple tutorial example of voting analysis in conflict situations...
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