Toward Monotonicity Analysis between Two Vague Concepts Based on Fuzzy Rough Sets

نویسنده

  • M. INUIGUCHI
چکیده

A fuzzy rough set approach has been proposed without using any fuzzy logical connectives. By this approach, gradual decision rules are induced from a given decision table. Fuzzy-rough modus ponens and fuzzy-rough modus tollens have been formulated based on the gradual decision rules. The equivalence condition between fuzzy-rough modus ponens and fuzzy-rough modus tollens is discussed. The condition is related to the monotonicity between membership degrees of fuzzy sets. Monotonicity indices are proposed to measure the degree of monotonicity between fuzzy sets.

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تاریخ انتشار 2006