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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Cuts of IF-sets Respecting Fuzzy Connectives
verfasst von : Davide Martinetti, Vladimír Janiš, Susana Montes
Erschienen in: Fuzzy Logic and Applications
Verlag: Springer Berlin Heidelberg
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Intuitionistic fuzzy sets (IF-sets) are a suitable tool to describe cases where it is useful to account not only the grade of membership to a collection, but also the grade of its non-membership. We consider the
α
-cuts of an IF-set
A
as crisp sets consisting of those elements
x
for which the truth value (in fuzzy logic) of the statement ”
x
belongs to
A
and it is not true that
x
does not belong to
A
” is at least
α
. We describe properties of such cuts depending on the chosen type of conjunction and negation.