Fuzzy-Rough Membership Functions - Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
نویسنده
چکیده
This paper generalizes the concepts of rough membership functions in pattern classification tasks to fuzz rough membership functions. Unlike the rough membersgp value of a pattern, which is sensitive only towards the rough uncertainty associated with the pattern, the fuzzy-rough membership value of the pattern signlfies the rou h uncertainty as well as the . fuzz uncertainty associated wig it. ~n absence of fuzziness, the Lzzy-rough membership functions reduce to the existing rough membership functions. Moreover under certain conditions the fuzzy-rou h membership fundions are equivalent to fuzzy membership knctions or characteristic functions. In this &aper, various set theoretic pro erties of the fuzzy-rough memership functions are exploitecfto characterize the concept of fuzzy-rou h sets. Some measures of the fuzzy-rough ambiguity awociatecfwith a given output class are also discussed.
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