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Dominance-based fuzzy rough approach to an interval-valued decision system. (English) Zbl 1267.68300

Summary: Though the dominance-based rough set approach has been applied to interval-valued information systems for knowledge discovery, the traditional dominance relation cannot be used to describe the degree of dominance principle in terms of pairs of objects. In this paper, a ranking method of interval-valued data is used to describe the degree of dominance in the interval-valued information system. Therefore, the fuzzy rough technique is employed to construct the rough approximations of upward and downward unions of decision classes, from which one can induce at least and at most decision rules with certainty factors from the interval-valued decision system. Some numerical examples are employed to substantiate the conceptual arguments.

MSC:

68U35 Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.)
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
68T37 Reasoning under uncertainty in the context of artificial intelligence
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