Title :
Typical hesitant fuzzy negations based on Xu-Xia-partial order
Author :
Santos, Henrique ; Bedregal, Benjamin ; Santiago, Regivan ; Bustince, Humberto
Author_Institution :
Inf. & Appl. Math. Dept., Fed. Univ. of Rio Grande do Norte (UFRN), Natal, Brazil
Abstract :
This work proposes to consider Xu-Xia-partial order for the antitonicity property of Typical Hesitant Fuzzy Negations (THFN) which is coherent with the usual negation notion in L-fuzzy logic in the sense of Goguen. In addition, we will study the class of strong THFN generalizing some important properties of fuzzy negation, such as Trillas´ characterization of strong fuzzy negations.
Keywords :
fuzzy logic; L-fuzzy logic; THFN; Xu-Xia-partial order; antitonicity property; negation notion; typical hesitant fuzzy negations; DH-HEMTs; Decision making; Educational institutions; Fuzzy logic; Fuzzy sets; Hafnium; Lattices;
Conference_Titel :
Norbert Wiener in the 21st Century (21CW), 2014 IEEE Conference on
Conference_Location :
Boston, MA
DOI :
10.1109/NORBERT.2014.6893951
