RT Book, Section
T1 The underlying structure in Atanassov's IFS
A1 Montero De Juan, Francisco Javier
A1 Gómez González, Daniel
A1 Bustince, Humberto
A1 Barrenechea, Edurne
A2 Atanassov, Krassimir
AB In this paper we shall stress the key relevance of addressing a specific structure for the valuation space in Atanassov's IFS, which may help to establish certain di®erences with other related models. In particular, we point out that each one of the valuation states proposed by Atanassov plays a different role, so they should be distinguished from their particular properties with respect to the other valuation states. In the same way, we realize that those three valuation states are not interchangeable and that each state should in principle allow a clear definition, as in any standard classification problem, always subject to potential direct estimation. Considering for example a transition (directed) graph in order to connect states provides in addition a new framework for useful more general models, taking simultaneously into account several logics when needed and avoiding the still binary heritage in Atanassov's model.
PB Warsaw
SN 9788360434529
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/53446
UL https://hdl.handle.net/20.500.14352/53446
LA eng
NO Consejo Superior de Investigaciones Científicas (España)
DS Docta Complutense
RD 26 dic 2025