Abstract

Related to the absolute quantitative information, grade approximation operators are important approximation operators in approximate space. This paper aims to explore composite product of grade approximation operators in the same direction in graded rough set model. First, the composite product of grade approximation operators in the same direction is defined. Next, direct algorithm is proposed and analyzed. Finally, the essence of the composite product are investigated and obtained, and furthermore, the basic properties are obtained. Besides, the extension in parameters of the composite product is explored too. Composite product of grade approximation operators in the same direction is illustrated by an example.KeywordsArtificial intelligencerough set theorygraded rough setapproximation operatorcomposite productdirect algorithm

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