Decision Rules Acquisition for Inconsistent Disjunctive Set-Valued Ordered Decision Information Systems. (31st March 2015)

• Record Type: Journal Article
• Authors: Wang, Hongkai; Guan, Yanyong; Huang, Jilin; Shen, Jianting
• Other Names: Liu Wanquan Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-03-31
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/936340
• Languages: English
• ISSNs: 1024-123X

Abstract

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.