Applications of Fuzzy-Rough Classifications to Logics

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Abstract

From a point of view of handling imperfect knowledge like uncertainty, vagueness, imprecision, etc., a concept of fuzzy-rough classifications is introduced. This is a notion defined as a kind of modification of the rough classifications. Two logics based on the fuzzy-rough classifications are proposed, and various properties are examined as compared with the indiscernibility relations. Also, decision procedures for the proposed logics are given in the tableau style which is useful in automated reasoning.