Authors:
Robert K. Nowicki
;
Janusz T. Starczewski
and
Rafał Grycuk
Affiliation:
Institute of Computational Intelligence, Czestochowa University of Technology, Czestochowa and Poland
Keyword(s):
Type-2 Fuzzy Classifier, Extended Possibilistic Fuzzification, 3D Possibility and Necessity of Fuzzy Events.
Abstract:
In this paper, the extended possibilistic fuzzification for classification is proposed. Similar approach with the use of fuzzy–rough fuzzification (Nowicki and Starczewski, 2017; Nowicki, 2019) allows to obtain one of three decisions, i.e. ”yes”, ”no”, and ”I do not know”, The last label occurs when input information is imprecise, incomplete or in general uncertain, and consequently, determining the unequivocal decision is impossible. We extend three-way decision (Hu et al., 2017; Liu et al., 2016; Sun et al., 2017; Yao, 2010; Yao, 2011) into four-way decision by extending possibilistic fuzzification to the three–dimensional possibility and necessity measures of fuzzy events.