Probabilistic approach to rough sets
نویسندگان
چکیده
منابع مشابه
Probabilistic approach to rough sets
The article introduces the basic ideas and investigates the probabilistic version of rough set theory. It relies on both classification knowledge and probabilistic knowledge in analysis of rules and attributes. Rough approximation evaluative measures and one-way and two-way inter-set dependency measures are proposed and adopted to probabilistic rule evaluation. A new probabilistic dependency me...
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The issue of knowledge representation and the method of inferring decision rules are of fundamental nature in the design of intelligent systems. When knowledge of the system is sufficient and precise (without uncertainty), many problems in artificial intelligence can be successfully modelled by techniques such as first order logic (Kowalski, 1979; Barr & Feigenbanm, 1981). For instance, the log...
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This paper reviews probabilistic approaches to rough sets in granulation, approximation, and rule induction. The Shannon entropy function is used to quantitatively characterize partitions of a universe. Both algebraic and probabilistic rough set approximations are studied. The probabilistic approximations are defined in a decision-theoretic framework. The problem of rule induction, a major appl...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2008
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2007.06.014