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Decision-Making Based on Partition Order Product Space
Abstract
Granular computing focuses on structured thinking and problem solving, which solves complex problem based on granular structure. Existing studies on granular structures mainly focus on multilevel granular structure and multiview granular structure respectively, without combining multilevel granular structure and multiview granular structure. In order to describe and solve problem in a more effectively and reasonably way, we propose partition order product space by combining multilevel granular structure with multiview granular structure. To obtain a solution for problem solving in partition order product space, we propose two search algorithms: depth-first searching algorithm and breadth-first searching algorithm. From the viewpoint of granular computing, existing three-way decisions cannot effectively combine multiview and multilevel to make decisions. As the partition order product space follows the principles of multiview and multilevel, we discuss three-way decisions based on partition order product space. We propose four multiview sequential three-way decisions.
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