Title :
Fuzzy quaternion numbers
Author :
Moura, Ronildo P. A. ; Bergamaschi, Flaulles B. ; Santiago, Regivan H. N. ; Bedregal, Benjamin R. C.
Author_Institution :
Dept. of Inf. & Appl. Math., Fed. Univ. of Rio Grande do Norte, Rio Grande do Norte, Brazil
Abstract :
In this paper we build the concept of fuzzy quaternion numbers as a natural extension of fuzzy real numbers. We discuss some important concepts such as their arithmetic properties, distance, supremum, infimum and limit of sequences.
Keywords :
fuzzy set theory; arithmetic property; distance; fuzzy quaternion number; fuzzy real number; infimum; supremum; Educational institutions; Hafnium; Measurement; Quaternions; Radio frequency; Vectors; Fuzzy numbers; intervals; quaternion;
Conference_Titel :
Fuzzy Systems (FUZZ), 2013 IEEE International Conference on
Conference_Location :
Hyderabad
Print_ISBN :
978-1-4799-0020-6
DOI :
10.1109/FUZZ-IEEE.2013.6622400
