Modelling Multi-agent Three-way Decisions with Decision-theoretic Rough Sets

  • Authors:

  • Xiaoping Yang;Jingtao Yao

  • Affiliations:

  • (Correspd.) (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 (N ...;(Partially supported by a discovery grant from Natural Sciences and Engineering Research Council of Canada) Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S ...

  • Venue:
  • Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
  • Year:
  • 2012

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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.