Representations of Vague Approximation Operators
As a suitable mathematical model to handle partial knowledge in data bases, rough set theory is emerging as a powerful theory and has been found its successive applications in the fields of artificial intelligence such as pattern recognition, machine learning, etc. In the paper, a vague relation is ﬁrst deﬁned, which is the extension of fuzzy relation. Then a new pair of lower and upper generalized rough approximation operators based on the vague relation is ﬁrst proposed by us. Finally, the representations of vague rough approximation operators are presented.
Helen Zhang and David Jin
H. D. Zhang and Y. P. He, "Representations of Vague Approximation Operators", Advanced Materials Research, Vols. 282-283, pp. 287-290, 2011