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Mathematical Problems in Engineering
Volume 2015, Article ID 936340, 8 pages
http://dx.doi.org/10.1155/2015/936340
Research Article

Decision Rules Acquisition for Inconsistent Disjunctive Set-Valued Ordered Decision Information Systems

School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Received 4 January 2015; Accepted 11 March 2015

Academic Editor: Wanquan Liu

Copyright © 2015 Hongkai Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Set-valued information system is an important formal framework for the development of decision support systems. We focus on the decision rules acquisition for the inconsistent disjunctive set-valued ordered decision information system in this paper. In order to derive optimal decision rules for an inconsistent disjunctive set-valued ordered decision information system, we define the concept of reduct of an object. By constructing the dominance discernibility function for an object, we compute reducts of the object via utilizing Boolean reasoning techniques, and then the corresponding optimal decision rules are induced. Finally, we discuss the certain reduct of the inconsistent disjunctive set-valued ordered decision information system, which can be used to simplify all certain decision rules as much as possible.