Characterizations of fuzzy implications
نویسنده
چکیده
Properties valid on the classical theory (Boolean laws) have been extended to fuzzy set theory and so-called Boolean-like laws. The fact that they are not always valid in any standard fuzzy set theory induced a wide investigation. In this paper we show the sufficient and necessary conditions that the Boolean-like law y ≤ I(x, y) holds in fuzzy logic. We focus the investigation on the following classes of fuzzy implications: (S,N)-, R-, QL-, D-, (N,T)and h-implications.
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