RT Book, Section
T1 Atanassov’s Intuitionistic Fuzzy Sets as a Classification Model
A1 Montero De Juan, Francisco Javier
A1 Gómez González, Daniel
A1 Bustince, Humberto
AB In this paper we show that Atanassov's Intuitionistic Fuzzy sets can be viewed as a classification model, that can be generalized in order to take into account more classes than the three classes considered by Atanassov's (membership, non-membership and non-determinacy). This approach will imply, on one hand, to change the meaning of these classes, so each one will have a positive definition. On the other hand, this approach implies the possibility of a direct generalization for alternative logics and additional valuation states, being consistent with Atanassov's focuss. From this approach we shall stress the absence of any structure within those three valuation states in Atanassov's model. In particular, we consider this is the main cause of the dispute about Atanassov's model: acknowledging that the name intuitionistic is not appropriate, once we consider that a crisp direct graph is defined in the valuation space, formal differences with other three-state models will appear.
PB Springer
SN 978-3-540-72917-4
YR 2007
FD 2007-06-18
LK https://hdl.handle.net/20.500.14352/53162
UL https://hdl.handle.net/20.500.14352/53162
LA eng
NO Montero, J., Gómez, D., Bustince, H.: Atanassov’s Intuitionistic Fuzzy Sets as a Classification Model. En: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., y Pedrycz, W. (eds.) Foundations of Fuzzy Logic and Soft Computing. pp. 69-75. Springer Berlin Heidelberg, Berlin, Heidelberg (2007)
NO 12th World Congress of the International-Fuzzy-Systems-Association. JUN 18-21, 2007 Cancun, MEXICO
DS Docta Complutense
RD 19 abr 2025