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S. Greco, B. Matarazzo and R. Slowingski, “Rough Approximation of a Preference Relation by Dominance Relatioin ICS Research Report 16/96, Warsaw University of Technology, 1996,” European Journal of Operational Research, Vol. 117, 1999, pp. 63-83.

has been cited by the following article:

• TITLE: Methods for Lower Approximation Reduction in Inconsistent Decision Table Based on Tolerance Relation

  AUTHORS: Xiaoyan Zhang, Weihua Xu

  KEYWORDS: Rough Set; Tolerance Relation; Lower Approximation Reduction; Discernibility Matrix

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 28, 2013

  ABSTRACT: It is well known that most of information systems are based on tolerance relation instead of the classical equivalence relation because of various factors in real-world. To acquire brief decision rules from the information systems, lower approximation reduction is needed. In this paper, the lower approximation reduction is proposed in inconsistent information systems based on tolerance relation. Moreover, the properties are discussed. Furthermore, judgment theorem and discernibility matrix are obtained, from which an approach to lower reductions can be provided in the complicated information systems.