Linear operators that strongly preserve regularity of fuzzy matrices
نویسندگان
چکیده
An n× n fuzzy matrix A is called regular if there is an n× n fuzzy matrix G such that AGA = A. We study the problem of characterizing those linear operators T on the fuzzy matrices such that T (X) is regular if and only if X is. Consequently, we obtain that T strongly preserves regularity of fuzzy matrices if and only if there are permutation matrices P and Q such that it has the form T (X) = PXQ or T (X) = PXQ for all fuzzy matrices X. AMS subject classifications: 15A04, 15A09
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