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This paper introduces the concept of minimum correlation decision reduct in inconsistent target information systems based on dominance relation. Moreover the judgment theorem and discernable matrix of the minimum correlation decision reduct are obtained, from which it can effectively provide the approach to this reduction in inconsistent target information systems based on dominance relation. Finally,...
In view of the deficiencies of attribute reduction in classic rough set, On condition that knowledge classification ability remains basically unchanged, this paper renders a new definition of the approximate attribute reduction of rough set and discuss its nature and algorithms. Theory proves that approximate attribute reduction is an extension of the traditional attribute reduction. Finally, a concrete...
Building concept lattice has been a focus of applied research on formal concept analysis. In this paper, several theorems which reflect the relationship between concepts are listed and proved by studying the characteristics of concepts. Furthermore, two incremental building algorithms of concept lattice that based on basic concept are illuminated. In order to improve efficiency of algorithms, binary...
It is very time-consuming to discover association rules from the mass of data, but not all the rules are interesting to the user, a lot of irrelevant information to the user's requirements may be generated when traditional mining methods are applied. In addition, most of the existing algorithms are for discovering one-dimensional association rules. Therefore, this paper defines a mining language which...
Rough set theory is a new mathematical tool to deal with vagueness and uncertainty. And now it has been widely applied in constructing decision tree which has no hierarchical attributes inside. However, hierarchical attributes exist generally in realistic environment, which leads that decision making has max rules. Using max rules to build decision trees can optimize decision trees and has practical...
The paper studies the fuzziness measure in fuzzy rough sets. By making use of the support set of fuzzy sets, a rough membership function for fuzzy sets based on fuzzy relation is introduced. Simultaneously, a fuzziness measure of fuzzy rough sets from total mean fuzzy degree is proposed. And then, it is proved that the fuzziness measure of fuzzy rough sets, denoted by, equals to zero if the set is...
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