Affiliations: School of Mathematics, Physics & Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, P. R. China, 316004, [email protected] | Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2, [email protected]
Note: [] The research has been partially supported by grants from the National Natural Science Foundation of China (No. 61075120 and No. 11071284) and the Natural Science Foundation of Zhejiang Province in China (No.Y107262). Address for correspondence: 18 Haiyuan Road, Dinghai, Zhoushan, Zhejiang, P. R. China, 316004
Note: [] The research has been partially supported by a discovery grant from Natural Sciences and Engineering Research Council of Canada.
Abstract: The decision-theoretic rough set (DTRS) model considers costs associated with actions of classifying an equivalence class into a particular region. With DTRS, one may make informative decisions in the form of three-way decisions. Current research mainly focuses on single agent DTRS which is too complex for making a decision when multiple agents are involved. We propose a multi-agent DTRS model and express it in the form of three-way decisions. The new model seeks for synthesized or consensus decisions when there are multiple decision preferences and criteria adopted by different agents. Various multi-agent DTRS models can be derived according to the conservative, aggressive and majority viewpoints based on the positive, negative and boundary regions made by each agent. These multi-agent decision regions are expressed by figures in the form of three-way decisions.
