With the index weight matrix W, features fuzzy matrix R
and S, fuzzy identification matrix U, definition:
)(),( hjjhjhj
srwusrd − = (6)
As sample j and pattern of the generalized right between h
weighted distance. This distance completely describe the
sample j and pattern h differences, because it not only
considers the index weight matrix, and at the same time to
sample j affiliated to the mode of membership as weights h,
complete with in fuzzy mathematics can be defined in
membership for weight point of view. In order to solve the
optimal fuzzy recognition matrix U, establish the objective
function:
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