Advertisement
Published in:
2011 | OriginalPaper | Chapter
Cuts of IF-sets Respecting Fuzzy Connectives
Authors : Davide Martinetti, Vladimír Janiš, Susana Montes
Published in: Fuzzy Logic and Applications
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
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.