Probabilistic model criteria with decision-theoretic rough sets

Dun Liu, Tianrui Li, Da Ruan

    Research outputpeer-review

    Abstract

    In dealing with risk in real decision problems, decision-theoretic rough sets with loss functions aim to obtain optimization decisions by minimizing the overall risk with Bayesian decision procedures. Two parameters generated by loss functions divide the universe into three regions as the decision of acceptance, deferment and rejection. In this paper, we discuss the semantics of loss functions, and utilize the differences of losses replace actual losses to construct a new "four-level" approach of probabilistic rules choosing criteria. Ten types of probabilistic rough set models can be generated by the "four-level" approach and form two groups of models: two-way probabilistic decision models and three-way probabilistic decision models. A reasonable decision with these criteria is demonstrated by an illustration of oil investment.

    Original languageEnglish
    Pages (from-to)3709-3722
    Number of pages14
    JournalInformation Sciences
    Volume181
    Issue number17
    DOIs
    StatePublished - 1 Sep 2011

    ASJC Scopus subject areas

    • Software
    • Control and Systems Engineering
    • Theoretical Computer Science
    • Computer Science Applications
    • Information Systems and Management
    • Artificial Intelligence

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